Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
85.7%	75%	12.5%	0%	12.5%	0%	0%	5
92.3%	75%	6.2%	0%	18.7%	0%	0%	6
96%	75%	3.1%	0%	21.9%	0%	0%	7
98%	75%	1.6%	0%	23.4%	0%	0%	8
99%	75%	0.8%	0%	24.2%	0%	0%	9
99.5%	75%	0.4%	0%	24.6%	0%	0%	10
99.7%	75%	0.2%	0%	24.8%	0%	0%	11
99.9%	75%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample583.0ms (44.1%)

Results

571.0ms	8256×	body	256	valid
1.0ms	11×	body	256	infinite

Bogosity

preprocess107.0ms (8.1%)

Algorithm

2×	egg-herbie

Rules

1288×	`rational_best_oopsla_all_46_json_45_simplify-89`
1138×	`rational_best_oopsla_all_46_json_45_simplify-74`
916×	`rational_best_oopsla_all_46_json_45_simplify-24`
782×	`rational_best_oopsla_all_46_json_45_simplify-23`
578×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	24	19
2	85	19
3	303	19
4	1500	19
5	6567	19
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))
(-.f64 x (.f64 1/2 (.f64 x x)))
(-.f64 x (.f64 x (.f64 x 1/2)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify104.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

1288×	`rational_best_oopsla_all_46_json_45_simplify-89`
1138×	`rational_best_oopsla_all_46_json_45_simplify-74`
916×	`rational_best_oopsla_all_46_json_45_simplify-24`
782×	`rational_best_oopsla_all_46_json_45_simplify-23`
578×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	24	19
2	85	19
3	303	19
4	1500	19
5	6567	19

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))
(-.f64 x (.f64 1/2 (.f64 x x)))
(-.f64 x (.f64 x (.f64 x 1/2)))

eval1.0ms (0.1%)

Compiler: Compiled 22 to 14 computations (36.4% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 x (.f64 x (.f64 x 1/2)))
▶	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))

Compiler

Compiled 16 to 11 computations (31.3% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 x (-.f64 1 (.f64 x 1/2)))
0.0ms	x	@	0	(.f64 x (-.f64 1 (.f64 x 1/2)))
0.0ms	x	@	-inf	(.f64 x (-.f64 1 (.f64 x 1/2)))

rewrite70.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`rational_best_oopsla_all_46_json-2`
1544×	`rational_best_oopsla_all_46_json-1`
1544×	`rational_best_oopsla_all_46_json-4`
1544×	`rational_best_oopsla_all_46_json-3`
1058×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	57	19
2	205	19
3	868	19
4	3601	19

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 x (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (.f64 x (.f64 x -1/2)) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (/.f64 x x) (.f64 x (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 0 (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 0 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (.f64 x (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 x -1/2)) (/.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) x))) (+.f64 x (.f64 x (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x 1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2))))) (+.f64 x (.f64 x (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (.f64 x (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (+.f64 x (.f64 x (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 x -1/2)) (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x x) (.f64 x (.f64 x -1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (.f64 x (.f64 x -1/2))) (.f64 x (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) x) (.f64 (.f64 x (.f64 x -1/2)) (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (.f64 1/2 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (.f64 (/.f64 x x) (.f64 1/2 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 0 (.f64 (.f64 x (.f64 x -1/2)) (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 0 (.f64 (.f64 1/2 (.f64 x x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 1/2 (.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x -1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2)))) (.f64 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2)))) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 x (.f64 x -1/2)) (/.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 1/2 (.f64 x x)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) x))) (.f64 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 0 (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x 1/2))) (.f64 (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x 1/2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2))))) (.f64 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2)))) (-.f64 -1 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (.f64 1/2 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 0 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (-.f64 (.f64 1/2 (.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 x (.f64 x -1/2)) (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (/.f64 x x) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (+.f64 (/.f64 x x) (.f64 x -1/2)) (+.f64 (/.f64 x x) (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) x)) (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x 1/2)) (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2)))) (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1/2 (.f64 x x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 1/2 (.f64 x x)) x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 x x) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (*.f64 0 (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (*.f64 0 (-.f64 (*.f64 (/.f64 x x) (/.f64 x x)) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (*.f64 0 (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) (+.f64 1 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (*.f64 0 (/.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) x))) (+.f64 x (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (-.f64 (*.f64 (/.f64 x x) (/.f64 x x)) (*.f64 x 1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) (+.f64 1 (*.f64 x -1/2))))) (+.f64 x (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2))))) (*.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2)))) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 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((x -.f64 x (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 (/.f64 x x) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 0 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 0 (*.f64 (*.f64 1/2 (*.f64 x x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 1/2 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) (+.f64 1 (*.f64 x -1/2)))) (*.f64 (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) (+.f64 1 (*.f64 x -1/2)))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) x))) (*.f64 (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (-.f64 (*.f64 (/.f64 x x) (/.f64 x x)) (*.f64 x 1/2))) (*.f64 (-.f64 (*.f64 (/.f64 x x) (/.f64 x x)) (*.f64 x 1/2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) (+.f64 1 (*.f64 x -1/2))))) (*.f64 (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) (+.f64 1 (*.f64 x -1/2)))) (-.f64 -1 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2))))) (*.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2)))) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (/.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2))))) (*.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2)))) (-.f64 (*.f64 1/2 (*.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2))))) (*.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2)))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (/.f64 (+.f64 1 (*.f64 x -1/2)) (+.f64 1 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (/.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (/.f64 (/.f64 x x) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (/.f64 (+.f64 (/.f64 x x) (*.f64 x -1/2)) (+.f64 (/.f64 x x) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (/.f64 (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) x)) (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (/.f64 (-.f64 (*.f64 (/.f64 x x) (/.f64 x x)) (*.f64 x 1/2)) (-.f64 (*.f64 (/.f64 x x) (/.f64 x x)) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (/.f64 (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) (+.f64 1 (*.f64 x -1/2)))) (*.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) (+.f64 1 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2)))) (/.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x))))))

simplify88.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

1590×	`rational_best_oopsla_all_46_json_45_simplify-37`
1234×	`rational_best_oopsla_all_46_json_45_simplify-89`
942×	`rational_best_oopsla_all_46_json_45_simplify-74`
894×	`rational_best_oopsla_all_46_json_45_simplify-24`
644×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1182
1	343	1182
2	1360	1182
3	5371	1182

Stop Event

1×	node limit

Counts

60 → 56

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (.f64 x (.f64 x -1/2)))
(+.f64 x (.f64 (.f64 x (*.f64 x -1/2)) (/.f64 x x)))
(+.f64 x (.f64 (/.f64 x x) (.f64 x (*.f64 x -1/2))))
(+.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 0)
(+.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 0 (.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) x))))
(+.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 0 (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (*.f64 x 1/2))))
(+.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2))))))
(+.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 0 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (*.f64 x -1/2))))))
(+.f64 0 (+.f64 x (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 x (.f64 x -1/2)) x)
(+.f64 (.f64 (.f64 x (*.f64 x -1/2)) (/.f64 x x)) x)
(+.f64 (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) x))) (+.f64 x (.f64 x (*.f64 x -1/2))))
(+.f64 (.f64 0 (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x 1/2))) (+.f64 x (.f64 x (*.f64 x -1/2))))
(+.f64 (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2))))) (+.f64 x (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 x (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 0 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (+.f64 x (.f64 x (*.f64 x -1/2))))
(+.f64 (.f64 (.f64 x (.f64 x -1/2)) (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) x))
(+.f64 (.f64 (/.f64 x x) (.f64 x (*.f64 x -1/2))) x)
(+.f64 (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (.f64 x (.f64 x -1/2))) (.f64 x (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))))
(+.f64 (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) x) (.f64 (.f64 x (.f64 x -1/2)) (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))))
(-.f64 x (.f64 1/2 (.f64 x x)))
(-.f64 x (.f64 (/.f64 x x) (.f64 1/2 (*.f64 x x))))
(-.f64 x (-.f64 0 (.f64 (.f64 x (*.f64 x -1/2)) (/.f64 x x))))
(-.f64 x (-.f64 0 (.f64 (.f64 1/2 (*.f64 x x)) -1)))
(-.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 0)
(-.f64 0 (-.f64 (.f64 1/2 (.f64 x x)) x))
(-.f64 (.f64 x (.f64 x -1/2)) (neg.f64 x))
(-.f64 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2)))) (.f64 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2)))) (.f64 x 1/2)))
(-.f64 (.f64 (.f64 x (*.f64 x -1/2)) (/.f64 x x)) (neg.f64 x))
(-.f64 (.f64 (.f64 1/2 (*.f64 x x)) -1) (neg.f64 x))
(-.f64 (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) x))) (.f64 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) x)) (neg.f64 x)))
(-.f64 (.f64 0 (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x 1/2))) (.f64 (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x 1/2)) (neg.f64 x)))
(-.f64 (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2))))) (.f64 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2)))) (-.f64 -1 (*.f64 x -1/2))))
(-.f64 (.f64 x (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (.f64 1/2 (.f64 x x))))
(-.f64 (.f64 0 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (-.f64 (.f64 1/2 (.f64 x x)) x)))
(-.f64 (.f64 (.f64 x (.f64 x -1/2)) (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (neg.f64 x)))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 1)
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 x x))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2))))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (/.f64 x x) (/.f64 x x)))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (+.f64 (/.f64 x x) (.f64 x -1/2)) (+.f64 (/.f64 x x) (.f64 x -1/2))))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) x)) (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) x))))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x 1/2)) (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x 1/2))))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2)))) (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2))))))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))))
(/.f64 (-.f64 (.f64 1/2 (.f64 x x)) x) -1)
(neg.f64 (-.f64 (.f64 1/2 (.f64 x x)) x))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 x (.f64 (.f64 x (*.f64 x -1/2)) (/.f64 x x)))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 x (.f64 (/.f64 x x) (.f64 x (*.f64 x -1/2))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 0)
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 0 (.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) x))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 0 (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (*.f64 x 1/2))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2))))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 0 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (*.f64 x -1/2))))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 0 (+.f64 x (.f64 x (.f64 x -1/2))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (.f64 x (.f64 x -1/2)) x)
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (.f64 (.f64 x (*.f64 x -1/2)) (/.f64 x x)) x)
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) x))) (+.f64 x (.f64 x (*.f64 x -1/2))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (.f64 0 (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x 1/2))) (+.f64 x (.f64 x (*.f64 x -1/2))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (.f64 0 (.f64 x (/.f64 (+.f64 1 (.f64 x -1/2)) (+.f64 1 (.f64 x -1/2))))) (+.f64 x (.f64 x (.f64 x -1/2))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (.f64 x (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (.f64 x (.f64 x -1/2))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (.f64 0 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (+.f64 x (.f64 x (*.f64 x -1/2))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (.f64 (.f64 x (.f64 x -1/2)) (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))) (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) x))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (.f64 (/.f64 x x) (.f64 x (*.f64 x -1/2))) x)
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) (.f64 x (.f64 x -1/2))) (.f64 x (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(+.f64 (.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2)))) x) (.f64 (.f64 x (.f64 x -1/2)) (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 x (.f64 x (.f64 x -1/2))))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(-.f64 x (.f64 1/2 (.f64 x x)))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(-.f64 x (.f64 (/.f64 x x) (.f64 1/2 (*.f64 x x))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(-.f64 x (-.f64 0 (.f64 (.f64 x (*.f64 x -1/2)) (/.f64 x x))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(-.f64 x (-.f64 0 (.f64 (.f64 1/2 (*.f64 x x)) -1)))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(-.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 0)
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localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 x (.f64 x 1/2)))

Compiler

Compiled 18 to 11 computations (38.9% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 x (.f64 x (.f64 x 1/2)))
0.0ms	x	@	0	(-.f64 x (.f64 x (.f64 x 1/2)))
0.0ms	x	@	-inf	(-.f64 x (.f64 x (.f64 x 1/2)))

rewrite71.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`rational_best_oopsla_all_46_json-2`
1408×	`rational_best_oopsla_all_46_json-1`
1408×	`rational_best_oopsla_all_46_json-4`
1408×	`rational_best_oopsla_all_46_json-3`
1140×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	46	19
2	152	19
3	660	19
4	3561	19

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

Inputs
(-.f64 x (.f64 x (.f64 x 1/2)))

Outputs
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*.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) (neg.f64 (/.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) (*.f64 x (-.f64 -1 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (-.f64 -1 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 (*.f64 x (/.f64 (*.f64 x 1/2) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (-.f64 -1 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) (*.f64 x (-.f64 -1 (*.f64 x -1/2)))) (*.f64 x (-.f64 -1 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (neg.f64 x) (/.f64 (-.f64 -1 (*.f64 x -1/2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 x 1/2) (/.f64 x x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (/.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2))))) (+.f64 x (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) (*.f64 x (-.f64 -1 (*.f64 x -1/2)))) (/.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) (*.f64 x (-.f64 -1 (*.f64 x -1/2))))) (+.f64 x (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x (/.f64 (*.f64 x 1/2) x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) (*.f64 x (-.f64 -1 (*.f64 x -1/2))))) (*.f64 x (-.f64 -1 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (/.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) (*.f64 x (-.f64 -1 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x (*.f64 x -1/2))) (/.f64 (/.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) (*.f64 x (-.f64 -1 (*.f64 x -1/2)))) (/.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) (*.f64 x (-.f64 -1 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))))))))

simplify190.0ms (14.4%)

Algorithm

1×	egg-herbie

Rules

1250×	`rational_best_oopsla_all_46_json_45_simplify-7`
1124×	`rational_best_oopsla_all_46_json_45_simplify-72`
948×	`rational_best_oopsla_all_46_json_45_simplify-89`
772×	`rational_best_oopsla_all_46_json_45_simplify-74`
754×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	1623
1	785	1623
2	4508	1623
3	7775	1623

Stop Event

1×	node limit

Counts

87 → 81

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (.f64 x (.f64 x -1/2)))
(+.f64 x (.f64 (.f64 x (*.f64 x 1/2)) -1))
(+.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 0)
(+.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 0 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (*.f64 x -1/2))))))
(+.f64 0 (+.f64 x (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 x (.f64 x -1/2)) x)
(+.f64 (.f64 x (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))) (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 0 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))) (+.f64 x (.f64 x (*.f64 x -1/2))))
(+.f64 (.f64 (.f64 x (*.f64 x 1/2)) -1) x)
(+.f64 (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (.f64 x (.f64 x -1/2))) (.f64 x (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))))
(.f64 x (+.f64 1 (.f64 x -1/2)))
(.f64 x (-.f64 1 (.f64 x (/.f64 (*.f64 x 1/2) x))))
(.f64 x (.f64 1 (+.f64 1 (*.f64 x -1/2))))
(.f64 x (.f64 1 (-.f64 1 (.f64 x (/.f64 (.f64 x 1/2) x)))))
(.f64 x (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (+.f64 1 (*.f64 x -1/2))))
(.f64 x (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (-.f64 1 (.f64 x (/.f64 (.f64 x 1/2) x)))))
(.f64 x (.f64 -1 (-.f64 -1 (*.f64 x -1/2))))
(.f64 x (.f64 -1 (-.f64 (*.f64 x 1/2) (/.f64 x x))))
(.f64 x (-.f64 (/.f64 x x) (.f64 x 1/2)))
(.f64 x (.f64 (+.f64 1 (*.f64 x -1/2)) (/.f64 x x)))
(.f64 x (.f64 (-.f64 1 (.f64 x (/.f64 (.f64 x 1/2) x))) (/.f64 x x)))
(.f64 x (-.f64 (/.f64 x x) (.f64 x (/.f64 (*.f64 x 1/2) x))))
(.f64 x (.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) x)))
(.f64 x (.f64 x (/.f64 (-.f64 1 (.f64 x (/.f64 (.f64 x 1/2) x))) x)))
(.f64 (+.f64 x (.f64 x (*.f64 x -1/2))) 1)
(.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (*.f64 x -1/2)))))
(.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 1 (+.f64 x (.f64 x (.f64 x -1/2))))))
(.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))))
(.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 1 (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 1 (+.f64 x (.f64 x (*.f64 x -1/2)))))))
(.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 1 (+.f64 x (.f64 x (*.f64 x -1/2)))))))
(.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (*.f64 x -1/2)))))))
(.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (+.f64 x (.f64 x (.f64 x -1/2))))))
(.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 1 (+.f64 x (.f64 x (.f64 x -1/2))))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (*.f64 x -1/2))))))
(.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (*.f64 x -1/2))))))
(.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 1 (+.f64 x (.f64 x (.f64 x -1/2))))) (+.f64 x (.f64 x (*.f64 x -1/2))))))
(.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))) (+.f64 x (.f64 x (*.f64 x -1/2))))))
(.f64 1 (+.f64 x (.f64 x (*.f64 x -1/2))))
(.f64 1 (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 x x)))
(.f64 1 (.f64 (-.f64 -1 (*.f64 x -1/2)) (neg.f64 x)))
(.f64 (/.f64 x x) (+.f64 x (.f64 x (*.f64 x -1/2))))
(.f64 (/.f64 x x) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 1 (/.f64 x x))))
(.f64 (/.f64 x x) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (/.f64 x x) (/.f64 x x))))
(.f64 (/.f64 x x) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (/.f64 x x))))
(.f64 (/.f64 x x) (.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (/.f64 -1 (/.f64 x x))))
(.f64 (/.f64 x x) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 1 (+.f64 x (.f64 x (*.f64 x -1/2))))) (/.f64 x x))))
(.f64 (/.f64 x x) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (*.f64 x -1/2))))) (/.f64 x x))))
(.f64 (/.f64 x x) (.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) (/.f64 x x))))
(.f64 (/.f64 x x) (.f64 x (/.f64 (-.f64 1 (.f64 x (/.f64 (.f64 x 1/2) x))) (/.f64 x x))))
(.f64 (/.f64 x x) (.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (/.f64 (neg.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))) (/.f64 x x))))
(.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (+.f64 x (.f64 x (*.f64 x -1/2))))
(.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 1 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))))))
(.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))))))
(.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (/.f64 x x) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))))))
(.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (/.f64 -1 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))))))
(.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (*.f64 x -1/2)))))))
(.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (/.f64 (neg.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))))))
(.f64 (.f64 x (-.f64 -1 (*.f64 x -1/2))) -1)
(.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (neg.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (*.f64 x -1/2))))))
(.f64 (neg.f64 x) (-.f64 -1 (.f64 x -1/2)))
(.f64 (neg.f64 x) (+.f64 (.f64 x (/.f64 (*.f64 x 1/2) x)) -1))
(.f64 -1 (.f64 x (-.f64 -1 (*.f64 x -1/2))))
(.f64 -1 (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (.f64 x (-.f64 -1 (.f64 x -1/2)))))
(.f64 -1 (.f64 (neg.f64 x) (/.f64 (-.f64 -1 (*.f64 x -1/2)) -1)))
(.f64 -1 (.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 x 1/2) (/.f64 x x)) -1)))
(.f64 (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 1 (+.f64 x (.f64 x (.f64 x -1/2))))) (+.f64 x (.f64 x (.f64 x -1/2))))
(.f64 (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))) (+.f64 x (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 1 (.f64 x -1/2)) x)
(.f64 (-.f64 1 (.f64 x (/.f64 (*.f64 x 1/2) x))) x)
(.f64 (neg.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))) (.f64 x (-.f64 -1 (*.f64 x -1/2))))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 1)
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 x x))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))))
(/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) -1)
(neg.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
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(+.f64 x (.f64 x (.f64 x -1/2)))
(-.f64 x (.f64 x (.f64 x 1/2)))
(+.f64 x (.f64 -1/2 (.f64 x x)))
(.f64 (.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 1 (+.f64 x (.f64 x (.f64 x -1/2))))) (+.f64 x (.f64 x (.f64 x -1/2))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(-.f64 x (.f64 x (.f64 x 1/2)))
(+.f64 x (.f64 -1/2 (.f64 x x)))
(.f64 (.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))) (+.f64 x (.f64 x (.f64 x -1/2))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(-.f64 x (.f64 x (.f64 x 1/2)))
(+.f64 x (.f64 -1/2 (.f64 x x)))
(.f64 (+.f64 1 (.f64 x -1/2)) x)
(+.f64 x (.f64 x (.f64 x -1/2)))
(-.f64 x (.f64 x (.f64 x 1/2)))
(+.f64 x (.f64 -1/2 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x (/.f64 (*.f64 x 1/2) x))) x)
(+.f64 x (.f64 x (.f64 x -1/2)))
(-.f64 x (.f64 x (.f64 x 1/2)))
(+.f64 x (.f64 -1/2 (.f64 x x)))
(.f64 (neg.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))) (.f64 x (-.f64 -1 (*.f64 x -1/2))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(-.f64 x (.f64 x (.f64 x 1/2)))
(+.f64 x (.f64 -1/2 (.f64 x x)))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 1)
(+.f64 x (.f64 x (.f64 x -1/2)))
(-.f64 x (.f64 x (.f64 x 1/2)))
(+.f64 x (.f64 -1/2 (.f64 x x)))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 x x))
(+.f64 x (.f64 x (.f64 x -1/2)))
(-.f64 x (.f64 x (.f64 x 1/2)))
(+.f64 x (.f64 -1/2 (.f64 x x)))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(-.f64 x (.f64 x (.f64 x 1/2)))
(+.f64 x (.f64 -1/2 (.f64 x x)))
(/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2)))) (/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) (.f64 x (-.f64 -1 (.f64 x -1/2))))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(-.f64 x (.f64 x (.f64 x 1/2)))
(+.f64 x (.f64 -1/2 (.f64 x x)))
(/.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))) -1)
(+.f64 x (.f64 x (.f64 x -1/2)))
(-.f64 x (.f64 x (.f64 x 1/2)))
(+.f64 x (.f64 -1/2 (.f64 x x)))
(neg.f64 (.f64 x (-.f64 -1 (.f64 x -1/2))))
(+.f64 x (.f64 x (.f64 x -1/2)))
(-.f64 x (.f64 x (.f64 x 1/2)))
(+.f64 x (.f64 -1/2 (.f64 x x)))

eval44.0ms (3.3%)

Compiler: Compiled 2841 to 1829 computations (35.6% saved)

prune16.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	136	3	139

Error

Counts

139 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 x (.f64 x 1/2)))
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
	22.8b	x

Compiler

Compiled 18 to 12 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 x (.f64 x 1/2)))
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
	22.8b	x

Compiler

Compiled 18 to 12 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 x (.f64 x 1/2)))
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
	22.8b	x

Compiler

Compiled 18 to 12 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 x (.f64 x 1/2)))
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
	22.8b	x

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes8.0ms (0.6%)

Accuracy

Total -22.8b remaining (-194361%)

Threshold costs -22.8b (-194361%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(.f64 x (-.f64 1 (.f64 x 1/2)))
(-.f64 x (.f64 x (.f64 x 1/2)))

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Calls

2 calls:

4.0ms	x
3.0ms	(.f64 x (-.f64 1 (.f64 x 1/2)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(.f64 x (-.f64 1 (.f64 x 1/2)))`

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x 1/2)))
x

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))
x

Compiler

Compiled 10 to 7 computations (30% saved)

soundness0.0ms (0%)

end14.0ms (1%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

Details

analyze3.0ms (0.2%)

sample583.0ms (44.1%)

preprocess107.0ms (8.1%)

simplify104.0ms (7.8%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

localize7.0ms (0.5%)

series1.0ms (0.1%)

rewrite70.0ms (5.3%)

simplify88.0ms (6.7%)

localize7.0ms (0.5%)

series1.0ms (0.1%)

rewrite71.0ms (5.4%)

simplify190.0ms (14.4%)

eval44.0ms (3.3%)

prune16.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes8.0ms (0.6%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end14.0ms (1%)

Profiling