Details

analyze3.0ms (0.1%)

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
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.1s (56.5%)

Results

1.1s	8256×	body	256	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess105.0ms (5.5%)

Algorithm

2×	egg-herbie

Rules

1278×	`rational_best_oopsla_all_46_json_45_simplify-23`
1092×	`rational_best_oopsla_all_46_json_45_simplify-49`
1090×	`rational_best_oopsla_all_46_json_45_simplify-35`
882×	`rational_best_oopsla_all_46_json_45_simplify-82`
452×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	21	17
2	56	17
3	206	17
4	925	17
5	3145	17
6	5870	17
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Outputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify110.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1278×	`rational_best_oopsla_all_46_json_45_simplify-23`
1092×	`rational_best_oopsla_all_46_json_45_simplify-49`
1090×	`rational_best_oopsla_all_46_json_45_simplify-35`
882×	`rational_best_oopsla_all_46_json_45_simplify-82`
452×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	21	17
2	56	17
3	206	17
4	925	17
5	3145	17
6	5870	17

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Outputs
(sqrt.f64 (.f64 2 (.f64 x x)))

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

31.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.6b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	30.6b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite113.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`rational_best_oopsla_all_46_json-2`
1104×	`rational_best_oopsla_all_46_json-1`
1104×	`rational_best_oopsla_all_46_json-4`
1104×	`rational_best_oopsla_all_46_json-3`
900×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	51	17
2	153	17
3	574	17
4	2473	17
5	7709	17

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))

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

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

simplify59.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1628×	`rational_best_oopsla_all_46_json_45_simplify-37`
1450×	`rational_best_oopsla_all_46_json_45_simplify-89`
1286×	`rational_best_oopsla_all_46_json_45_simplify-74`
1154×	`rational_best_oopsla_all_46_json_45_simplify-13`
964×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	768
1	274	760
2	1949	760

Stop Event

1×	node limit

Counts

48 → 41

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(+.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 0 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(+.f64 (.f64 0 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(-.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(-.f64 (+.f64 0 (.f64 0 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))))) (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 1 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x)))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x)))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 -1 (.f64 1 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) -1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (neg.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))) (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))

eval5.0ms (0.2%)

Compiler: Compiled 920 to 120 computations (87% saved)

prune6.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Error

0.3b

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.6b	(*.f64 (sqrt.f64 2) x)
✓	31.6b	(sqrt.f64 (.f64 2 (.f64 x x)))
▶	32.5b	(neg.f64 (*.f64 (sqrt.f64 2) x))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 14 to 11 computations (21.4% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite57.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`rational_best_oopsla_all_46_json-2`
1336×	`rational_best_oopsla_all_46_json-1`
1336×	`rational_best_oopsla_all_46_json-4`
1336×	`rational_best_oopsla_all_46_json-3`
1098×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	42	11
2	127	11
3	530	11
4	2655	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)

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

Outputs

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

simplify124.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1506×	`rational_best_oopsla_all_46_json_45_simplify-72`
1316×	`rational_best_oopsla_all_46_json_45_simplify-10`
902×	`rational_best_oopsla_all_46_json_45_simplify-49`
802×	`rational_best_oopsla_all_46_json_45_simplify-7`
646×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	264
1	171	264
2	718	264
3	3317	264
4	7501	264

Stop Event

1×	node limit

Counts

24 → 25

Calls

Call 1

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

Outputs
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (/.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (.f64 x (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (*.f64 (sqrt.f64 2) (/.f64 x (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) x) (.f64 0 (*.f64 (sqrt.f64 2) (/.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 0 (/.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) x))) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 0 (.f64 x (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) (sqrt.f64 2))))) (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 0 (.f64 (sqrt.f64 2) (/.f64 x (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 0 (.f64 (sqrt.f64 2) (/.f64 x x))) (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(-.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (.f64 0 (/.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) x))) (.f64 (/.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (neg.f64 x))))
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) x) (/.f64 x x))
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) x) (/.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) x) (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) x) (/.f64 (.f64 x (/.f64 (sqrt.f64 2) (sqrt.f64 2))) (*.f64 x (/.f64 (sqrt.f64 2) (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) x) (/.f64 (/.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) x)) (/.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) x) (/.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) (sqrt.f64 2)))) (.f64 x (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) x) (/.f64 (.f64 (sqrt.f64 2) (/.f64 x x)) (*.f64 (sqrt.f64 2) (/.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) x) (/.f64 (.f64 (sqrt.f64 2) (/.f64 x (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (/.f64 x (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(*.f64 (sqrt.f64 2) x)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval14.0ms (0.8%)

Compiler: Compiled 738 to 606 computations (17.9% saved)

prune6.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	50	3	53

Error

0.3b

Counts

53 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.6b	(*.f64 (sqrt.f64 2) x)
✓	31.6b	(sqrt.f64 (.f64 2 (.f64 x x)))
✓	32.5b	(neg.f64 (*.f64 (sqrt.f64 2) x))

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes28.0ms (1.5%)

Accuracy

Total -62.1b remaining (-12509.5%)

Threshold costs -62.1b (-12509.5%)

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(sqrt.f64 (.f64 2 (.f64 x x)))

Outputs
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)

Calls

4 calls:

7.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
7.0ms	(*.f64 x x)
7.0ms	(.f64 2 (.f64 x x))
6.0ms	x

Results

Error	Segments	Branch
0.5b	2	`x`
14.9b	3	`(sqrt.f64 (.f64 2 (.f64 x x)))`
14.9b	3	`(.f64 2 (.f64 x x))`
14.9b	3	`(*.f64 x x)`

Compiler

Compiled 35 to 24 computations (31.4% saved)

bsearch13.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	-3.302329671555414e-305	4.93939534723783e-308

Results

12.0ms

128×

body

256

valid

Compiler

Compiled 115 to 96 computations (16.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 (*.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) x))

(*.f64 (sqrt.f64 2) x)

Outputs

(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 (*.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) x))

(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 19 to 15 computations (21.1% saved)

soundness143.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

1628×	`rational_best_oopsla_all_46_json_45_simplify-37`
1450×	`rational_best_oopsla_all_46_json_45_simplify-89`
1286×	`rational_best_oopsla_all_46_json_45_simplify-74`
1154×	`rational_best_oopsla_all_46_json_45_simplify-13`
964×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	768
1	274	760
2	1949	760

Stop Event

1×	node limit

Compiler

Compiled 18 to 15 computations (16.7% saved)

end22.0ms (1.1%)

Compiler: Compiled 18 to 14 computations (22.2% saved)

Details

analyze3.0ms (0.1%)

sample1.1s (56.5%)

preprocess105.0ms (5.5%)

simplify110.0ms (5.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series1.0ms (0.1%)

rewrite113.0ms (5.9%)

simplify59.0ms (3.1%)

eval5.0ms (0.2%)

prune6.0ms (0.3%)

localize8.0ms (0.4%)

series0.0ms (0%)

rewrite57.0ms (3%)

simplify124.0ms (6.5%)

localize4.0ms (0.2%)

eval14.0ms (0.8%)

prune6.0ms (0.3%)

regimes28.0ms (1.5%)

bsearch13.0ms (0.7%)

simplify2.0ms (0.1%)

soundness143.0ms (7.5%)

end22.0ms (1.1%)

Profiling