Details

analyze99.0ms (2.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify297.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	5533	10

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_14905`
3×	`add-log-exp_binary64_14941`
2×	`distribute-lft-out_binary64_14858` `times-frac_binary64_14911`
1×	`flip-+_binary64_14879` `sum-log_binary64_14993` `frac-add_binary64_14913` `pow1_binary64_14963` `add-cbrt-cube_binary64_14938` `flip3-+_binary64_14908` `add-cube-cbrt_binary64_14937` `add-exp-log_binary64_14940` `+-commutative_binary64_14837` `add-sqr-sqrt_binary64_14926`

Counts

1 → 14

Calls

1 calls:

14.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

series36.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

36.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4936	239
1	4936	239

prune16.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

Compiler

Compiled 239 to 185 computations (22.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

rewrite87.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64_14905`
43×	`cbrt-prod_binary64_14933`
33×	`cbrt-div_binary64_14934`
23×	`add-sqr-sqrt_binary64_14926`
16×	`distribute-lft-out_binary64_14858`
15×	`add-cube-cbrt_binary64_14937`
14×	`times-frac_binary64_14911`
11×	`flip-+_binary64_14879` `frac-add_binary64_14913` `pow1_binary64_14963` `flip3-+_binary64_14908`
10×	`swap-sqr_binary64_14872`
9×	`pow1/3_binary64_14984` `frac-times_binary64_14915`
8×	`associate-r_binary64_14847` `associate-l_binary64_14848`
6×	`add-exp-log_binary64_14940`
4×	`add-cbrt-cube_binary64_14938` `unswap-sqr_binary64_14873` `add-log-exp_binary64_14941`
3×	`associate-r/_binary64_14849` `associate-l/_binary64_14850`
2×	`pow-prod-down_binary64_14973` `pow-sqr_binary64_14878` `pow-prod-up_binary64_14972`
1×	`cbrt-unprod_binary64_14935` `pow-plus_binary64_14965` `prod-exp_binary64_14951` `pow2_binary64_14983` `*-commutative_binary64_14838`

Counts

4 → 111

Calls

4 calls:

31.0ms	(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
16.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
13.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
13.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series738.0ms (15.8%)

Counts

4 → 12

Calls

4 calls:

211.0ms	(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
178.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
177.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
172.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

simplify117.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4795	2939
1	4795	2939

prune242.0ms (5.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	124	2	126

Merged error: 0.0b

Counts

126 → 2

Compiler

Compiled 4080 to 3196 computations (21.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))

rewrite68.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_14905`
33×	`cbrt-prod_binary64_14933`
10×	`add-cube-cbrt_binary64_14937` `add-sqr-sqrt_binary64_14926`
9×	`cbrt-div_binary64_14934`
8×	`unpow-prod-down_binary64_14981` `distribute-lft-out_binary64_14858` `times-frac_binary64_14911`
4×	`pow1/3_binary64_14984` `pow1_binary64_14963` `add-cbrt-cube_binary64_14938` `add-exp-log_binary64_14940` `add-log-exp_binary64_14941`
3×	`flip-+_binary64_14879` `frac-add_binary64_14913` `flip3-+_binary64_14908`
1×	`sqr-pow_binary64_14877` `unpow2_binary64_14967`

Counts

4 → 69

Calls

4 calls:

18.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
14.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
13.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
13.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series745.0ms (15.9%)

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
186.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
178.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
169.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4864	1823
1	4864	1823

prune226.0ms (4.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	3	83

Merged error: 0.0b

Counts

83 → 3

Compiler

Compiled 3863 to 3102 computations (19.7% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))

rewrite75.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`cbrt-prod_binary64_14933`
36×	`*-un-lft-identity_binary64_14905`
16×	`unpow-prod-down_binary64_14981`
12×	`add-cube-cbrt_binary64_14937` `add-sqr-sqrt_binary64_14926`
8×	`distribute-lft-out_binary64_14858` `times-frac_binary64_14911`
6×	`cbrt-div_binary64_14934`
4×	`pow1/3_binary64_14984` `pow1_binary64_14963` `add-cbrt-cube_binary64_14938` `add-exp-log_binary64_14940` `add-log-exp_binary64_14941`
2×	`flip-+_binary64_14879` `frac-add_binary64_14913` `sqr-pow_binary64_14877` `flip3-+_binary64_14908` `unpow2_binary64_14967`

Counts

4 → 74

Calls

4 calls:

19.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
16.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
14.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
13.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series776.0ms (16.6%)

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
206.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
185.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
171.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4864	2090
1	4864	2090

prune344.0ms (7.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Merged error: 0.0b

Counts

89 → 3

Compiler

Compiled 5448 to 4481 computations (17.7% saved)

regimes27.0ms (0.6%)

Compiler: Compiled 206 to 182 computations (11.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample530.0ms (11.3%)

Algorithm

1×

intervals

Results

244.0ms

8000×

body

128

valid

Compiler

Compiled 125 to 111 computations (11.2% saved)

Details

analyze99.0ms (2.1%)

sample14.0ms (0.3%)

simplify297.0ms (6.3%)

prune4.0ms (0.1%)

localize5.0ms (0.1%)

rewrite15.0ms (0.3%)

series36.0ms (0.8%)

simplify68.0ms (1.4%)

prune16.0ms (0.3%)

localize9.0ms (0.2%)

rewrite87.0ms (1.9%)

series738.0ms (15.8%)

simplify117.0ms (2.5%)

prune242.0ms (5.2%)

localize16.0ms (0.3%)

rewrite68.0ms (1.4%)

series745.0ms (15.9%)

simplify52.0ms (1.1%)

prune226.0ms (4.8%)

localize23.0ms (0.5%)

rewrite75.0ms (1.6%)

series776.0ms (16.6%)

simplify55.0ms (1.2%)

prune344.0ms (7.3%)

regimes27.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample530.0ms (11.3%)

Profiling