Details

analyze1.2s (21.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5265	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	252×	body	128	valid
1.0ms	20×	body	128	invalid
0.0ms	2×	body	2048	valid
0.0ms	2×	body	1024	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify134.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5048	19

prune3.0ms (0.1%)

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

0.2b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 60 (-.f64 x y))
0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.3b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_20219`
15×	`*-un-lft-identity_binary64_20197`
10×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
9×	`add-cube-cbrt_binary64_20232`
6×	`cancel-sign-sub-inv_binary64_20163`
5×	`add-log-exp_binary64_20236` `times-frac_binary64_20203` `associate-/r_binary64_20141` `associate-r*_binary64_20137` `pow1_binary64_20258`
4×	`distribute-lft-in_binary64_20146` `distribute-rgt-in_binary64_20147` `associate-*r/_binary64_20139`
3×	`flip3--_binary64_20201` `difference-of-squares_binary64_20166` `distribute-lft-out--_binary64_20149` `associate-l_binary64_20138` `flip--_binary64_20172`
2×	`sub-neg_binary64_20190` `cbrt-unprod_binary64_20230` `associate-/r/_binary64_20143` `div-exp_binary64_20248` `prod-exp_binary64_20246` `associate-/l/_binary64_20144` `cbrt-undiv_binary64_20231`
1×	`frac-2neg_binary64_20208` `clear-num_binary64_20196` `unswap-sqr_binary64_20165` `div-inv_binary64_20194` `sum-log_binary64_20288` `associate-/l_binary64_20142` `+-commutative_binary64_20127` `-commutative_binary64_20128` `pow-prod-down_binary64_20268` `flip3-+_binary64_20200` `flip-+_binary64_20171`

Counts

3 → 70

Calls

3 calls:

11.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
10.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
7.0ms	(*.f64 60 (-.f64 x y))

series244.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

155.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
71.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
19.0ms	(*.f64 60 (-.f64 x y))

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4957	1117
1	4957	1117

prune89.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	7	80

Error

0.0b

Counts

80 → 7

Compiler

Compiled 1502 to 806 computations (46.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
0.6b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite81.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_20203`
195×	`add-sqr-sqrt_binary64_20219` `*-un-lft-identity_binary64_20197`
91×	`add-cube-cbrt_binary64_20232`
52×	`difference-of-squares_binary64_20166` `distribute-lft-out--_binary64_20149`
36×	`associate-/r*_binary64_20141`
11×	`associate-/r/_binary64_20143`
10×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
8×	`associate-/l*_binary64_20142`
6×	`flip3--_binary64_20201` `div-inv_binary64_20194` `flip--_binary64_20172`
5×	`add-log-exp_binary64_20236`
4×	`div-exp_binary64_20248` `cbrt-undiv_binary64_20231`
3×	`pow1_binary64_20258`
2×	`frac-2neg_binary64_20208` `clear-num_binary64_20196` `associate-/l/_binary64_20144`
1×	`div-sub_binary64_20202` `sum-log_binary64_20288` `+-commutative_binary64_20127` `flip3-+_binary64_20200` `flip-+_binary64_20171`

Counts

3 → 205

Calls

3 calls:

35.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
13.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

series437.0ms (7.8%)

Counts

3 → 9

Calls

3 calls:

241.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
136.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
59.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

simplify97.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5051	5228

prune207.0ms (3.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	216	5	221

Error

0.0b

Counts

221 → 5

Compiler

Compiled 4968 to 1921 computations (61.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 60 (-.f64 z t))
0.0b	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))
0.3b	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))

rewrite45.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_20219`
43×	`*-un-lft-identity_binary64_20197`
31×	`times-frac_binary64_20203`
27×	`add-cube-cbrt_binary64_20232`
21×	`associate-l_binary64_20138`
12×	`cancel-sign-sub-inv_binary64_20163`
10×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
8×	`difference-of-squares_binary64_20166` `associate-+l+_binary64_20130` `distribute-lft-in_binary64_20146` `distribute-lft-out--_binary64_20149` `distribute-rgt-in_binary64_20147`
5×	`add-log-exp_binary64_20236` `associate-/r_binary64_20141` `associate-r*_binary64_20137` `pow1_binary64_20258`
4×	`sub-neg_binary64_20190` `flip3--_binary64_20201` `associate-/r/_binary64_20143` `flip--_binary64_20172`
3×	`associate-/l*_binary64_20142`
2×	`frac-times_binary64_20207` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `div-inv_binary64_20194` `div-exp_binary64_20248` `prod-exp_binary64_20246` `associate-*r/_binary64_20139` `cbrt-undiv_binary64_20231`
1×	`frac-2neg_binary64_20208` `clear-num_binary64_20196` `sum-log_binary64_20288` `+-commutative_binary64_20127` `-commutative_binary64_20128` `pow-prod-down_binary64_20268` `associate-l/_binary64_20140` `flip3-+_binary64_20200` `flip-+_binary64_20171`

Counts

3 → 110

Calls

3 calls:

14.0ms	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))
12.0ms	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))
5.0ms	(/.f64 60 (-.f64 z t))

series393.0ms (7%)

Counts

3 → 9

Calls

3 calls:

231.0ms	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))
138.0ms	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))
24.0ms	(/.f64 60 (-.f64 z t))

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4956	1923
1	4956	1923

prune111.0ms (2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	119	5	124

Error

0.0b

Counts

124 → 5

Compiler

Compiled 2351 to 1213 computations (48.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t)) (*.f64 a 120))
0.2b	(*.f64 (-.f64 x y) (sqrt.f64 60))
0.3b	(/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t))
0.3b	(.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60)))

rewrite55.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_20219`
20×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
17×	`*-un-lft-identity_binary64_20197`
11×	`add-cube-cbrt_binary64_20232` `associate-l_binary64_20138` `pow1_binary64_20258`
7×	`cbrt-unprod_binary64_20230` `prod-exp_binary64_20246` `sqrt-prod_binary64_20213` `associate-r_binary64_20137`
6×	`add-log-exp_binary64_20236` `associate-*l/_binary64_20140`
5×	`times-frac_binary64_20203` `associate-/r*_binary64_20141`
4×	`flip3--_binary64_20201` `pow-prod-down_binary64_20268` `associate-*r/_binary64_20139` `flip--_binary64_20172`
3×	`difference-of-squares_binary64_20166` `div-exp_binary64_20248` `distribute-lft-out--_binary64_20149` `cbrt-undiv_binary64_20231`
2×	`unswap-sqr_binary64_20165` `associate-/r/_binary64_20143` `associate-/l/_binary64_20144` `*-commutative_binary64_20128`
1×	`frac-2neg_binary64_20208` `clear-num_binary64_20196` `div-inv_binary64_20194` `sum-log_binary64_20288` `associate-/l*_binary64_20142` `+-commutative_binary64_20127` `flip3-+_binary64_20200` `flip-+_binary64_20171`

Counts

4 → 91

Calls

4 calls:

14.0ms	(+.f64 (/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t)) (*.f64 a 120))
13.0ms	(/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t))
11.0ms	(.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60)))
8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 60))

series453.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

241.0ms	(+.f64 (/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t)) (*.f64 a 120))
126.0ms	(/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t))
54.0ms	(.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60)))
31.0ms	(*.f64 (-.f64 x y) (sqrt.f64 60))

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4975	1493
1	4975	1493

prune99.0ms (1.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	103	5	108

Error

0.0b

Counts

108 → 5

Compiler

Compiled 2036 to 1152 computations (43.4% saved)

regimes534.0ms (9.5%)

Accuracy

Total 0.1b remaining (84.9%)

Threshold costs 0.1b (84.9%)

Compiler

Compiled 5114 to 4673 computations (8.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	19
1	34	19

end0.0ms (0%)

sample1.1s (20.2%)

Algorithm

1×

intervals

Results

334.0ms	7858×	body	128	valid
25.0ms	641×	body	128	invalid
7.0ms	42×	body	2048	valid
7.0ms	48×	body	1024	valid
4.0ms	34×	body	512	valid
1.0ms	17×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 463 to 424 computations (8.4% saved)

Details

analyze1.2s (21.3%)

sample23.0ms (0.4%)

simplify134.0ms (2.4%)

prune3.0ms (0.1%)

localize16.0ms (0.3%)

rewrite34.0ms (0.6%)

series244.0ms (4.4%)

simplify61.0ms (1.1%)

prune89.0ms (1.6%)

localize11.0ms (0.2%)

rewrite81.0ms (1.4%)

series437.0ms (7.8%)

simplify97.0ms (1.7%)

prune207.0ms (3.7%)

localize9.0ms (0.2%)

rewrite45.0ms (0.8%)

series393.0ms (7%)

simplify64.0ms (1.1%)

prune111.0ms (2%)

localize12.0ms (0.2%)

rewrite55.0ms (1%)

series453.0ms (8.1%)

simplify62.0ms (1.1%)

prune99.0ms (1.8%)

regimes534.0ms (9.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (20.2%)

Profiling