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
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample834.0ms (48.5%)

Results

822.0ms	8256×	body	256	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess214.0ms (12.4%)

Algorithm

2×	egg-herbie

Rules

1204×	`rational_best_oopsla_all_46_json_45_simplify-10`
1152×	`rational_best_oopsla_all_46_json_45_simplify-89`
1050×	`rational_best_oopsla_all_46_json_45_simplify-74`
836×	`rational_best_oopsla_all_46_json_45_simplify-72`
806×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	13	17
2	28	17
3	82	17
4	339	17
5	1523	17
6	5166	17
7	7172	17
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))

Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify215.0ms (12.5%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational_best_oopsla_all_46_json_45_simplify-10`
1152×	`rational_best_oopsla_all_46_json_45_simplify-89`
1050×	`rational_best_oopsla_all_46_json_45_simplify-74`
836×	`rational_best_oopsla_all_46_json_45_simplify-72`
806×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	13	17
2	28	17
3	82	17
4	339	17
5	1523	17
6	5166	17
7	7172	17

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))

Outputs
(sqrt.f64 (-.f64 1 (*.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

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1 (*.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	@	inf	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0ms	x	@	-inf	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0ms	x	@	0	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite58.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`rational_best_oopsla_all_46_json_45_simplify-13`
948×	`rational_best_oopsla_all_46_json_45_simplify-87`
914×	`rational_best_oopsla_all_46_json-2`
914×	`rational_best_oopsla_all_46_json-1`
914×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	46	17
2	125	17
3	445	17
4	1959	17

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))

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

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simplify76.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1250×	`rational_best_oopsla_all_46_json_45_simplify-49`
984×	`rational_best_oopsla_all_46_json_45_simplify-72`
720×	`rational_best_oopsla_all_46_json_45_simplify-108`
708×	`rational_best_oopsla_all_46_json_45_simplify-23`
474×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	154	1550
1	568	1542
2	2892	1542

Stop Event

1×	node limit

Counts

66 → 88

Calls

Call 1

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

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

eval35.0ms (2%)

Compiler: Compiled 2370 to 1589 computations (33% saved)

prune10.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	3	89

Error

0.0b

Counts

89 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	1.1b	1

Compiler

Compiled 17 to 14 computations (17.6% saved)

localize10.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite90.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`rational_best_oopsla_all_46_json_45_simplify-23`
908×	`rational_best_oopsla_all_46_json_45_simplify-35`
908×	`rational_best_oopsla_all_46_json_45_simplify-37`
892×	`rational_best_oopsla_all_46_json_45_simplify-13`
614×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	39	13
2	86	13
3	264	13
4	1241	13
5	6593	13

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

Outputs

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

simplify80.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1400×	`rational_best_oopsla_all_46_json_45_simplify-72`
1364×	`rational_best_oopsla_all_46_json_45_simplify-37`
986×	`rational_best_oopsla_all_46_json_45_simplify-89`
802×	`rational_best_oopsla_all_46_json_45_simplify-74`
724×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	403
1	238	403
2	1005	403
3	4175	403

Stop Event

1×	node limit

Counts

31 → 32

Calls

Call 1

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

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

eval13.0ms (0.8%)

Compiler: Compiled 678 to 561 computations (17.3% saved)

prune6.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	32	3	35

Error

0.0b

Counts

35 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	1.1b	1

Compiler

Compiled 17 to 14 computations (17.6% 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

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	1.1b	1

Compiler

Compiled 17 to 14 computations (17.6% 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

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	1.1b	1

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes47.0ms (2.7%)

Accuracy

Total -1.1b remaining (-6827%)

Threshold costs -1.1b (-6827%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))

Calls

4 calls:

40.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
2.0ms	(-.f64 1 (*.f64 x x))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(sqrt.f64 (-.f64 1 (*.f64 x x)))`
0.0b	1	`(-.f64 1 (*.f64 x x))`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
1

Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
1

Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness0.0ms (0%)

end15.0ms (0.9%)

Compiler: Compiled 8 to 6 computations (25% saved)

Details

analyze3.0ms (0.2%)

sample834.0ms (48.5%)

preprocess214.0ms (12.4%)

simplify215.0ms (12.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.4%)

series1.0ms (0.1%)

rewrite58.0ms (3.3%)

simplify76.0ms (4.4%)

eval35.0ms (2%)

prune10.0ms (0.6%)

localize10.0ms (0.6%)

series1.0ms (0.1%)

rewrite90.0ms (5.2%)

simplify80.0ms (4.7%)

eval13.0ms (0.8%)

prune6.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes47.0ms (2.7%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end15.0ms (0.9%)

Profiling