Details

analyze1.2s (11.5%)

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)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	250×	body	128	valid
1.0ms	17×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	1×	body	4096	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify145.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	5048	19

prune3.0ms (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

0.9b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize10.0ms (0.1%)

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))
1.0b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite118.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_21583`
15×	`*-un-lft-identity_binary64_21561`
10×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
9×	`add-cube-cbrt_binary64_21596`
6×	`cancel-sign-sub-inv_binary64_21527`
5×	`pow1_binary64_21622` `add-log-exp_binary64_21600` `times-frac_binary64_21567` `associate-/r_binary64_21505` `associate-r*_binary64_21501`
4×	`associate-*r/_binary64_21503` `distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510`
3×	`difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513` `flip3--_binary64_21565` `flip--_binary64_21536` `associate-l_binary64_21502`
2×	`prod-exp_binary64_21610` `div-exp_binary64_21612` `cbrt-undiv_binary64_21595` `cbrt-unprod_binary64_21594` `associate-/l/_binary64_21508` `associate-/r/_binary64_21507` `sub-neg_binary64_21554`
1×	`frac-2neg_binary64_21572` `clear-num_binary64_21560` `div-inv_binary64_21558` `associate-/l_binary64_21506` `sum-log_binary64_21652` `flip3-+_binary64_21564` `flip-+_binary64_21535` `+-commutative_binary64_21491` `pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529` `-commutative_binary64_21492`

Counts

3 → 70

Calls

3 calls:

12.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
11.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
7.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 1484 to 742 computations (50% saved)

series988.0ms (9.4%)

Error

0.1b

Counts

3 → 76

Calls

3 calls:

525.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
310.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
69.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 4101 to 3093 computations (24.6% saved)

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5235	2501

prune147.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	141	5	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	5	147

Error

0.0b

Counts

147 → 5

Compiler

Compiled 2604 to 1243 computations (52.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
0.0b	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
0.5b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite306.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

218×	`times-frac_binary64_21567`
195×	`add-sqr-sqrt_binary64_21583` `*-un-lft-identity_binary64_21561`
91×	`add-cube-cbrt_binary64_21596`
52×	`difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513`
36×	`associate-/r*_binary64_21505`
11×	`associate-/r/_binary64_21507`
10×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
8×	`associate-/l*_binary64_21506`
6×	`div-inv_binary64_21558` `flip3--_binary64_21565` `flip--_binary64_21536`
5×	`add-log-exp_binary64_21600`
4×	`div-exp_binary64_21612` `cbrt-undiv_binary64_21595`
3×	`pow1_binary64_21622`
2×	`frac-2neg_binary64_21572` `clear-num_binary64_21560` `associate-/l/_binary64_21508`
1×	`sum-log_binary64_21652` `flip3-+_binary64_21564` `flip-+_binary64_21535` `+-commutative_binary64_21491` `div-sub_binary64_21566`

Counts

3 → 205

Calls

3 calls:

34.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
14.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

Compiler

Compiled 5229 to 2073 computations (60.4% saved)

series1.2s (11.4%)

Error

0.0b

Counts

3 → 88

Calls

3 calls:

555.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
323.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
239.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

Compiler

Compiled 5055 to 3712 computations (26.6% saved)

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5142	7140

prune292.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	293	5	298

Error

0.0b

Counts

298 → 5

Compiler

Compiled 6531 to 2507 computations (61.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite361.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64_21583`
71×	`*-un-lft-identity_binary64_21561`
51×	`times-frac_binary64_21567`
31×	`associate-r_binary64_21501`
27×	`add-cube-cbrt_binary64_21596`
22×	`difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513`
10×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
5×	`pow1_binary64_21622` `add-log-exp_binary64_21600` `associate-/l_binary64_21506` `associate-/r_binary64_21505`
4×	`associate-/r/_binary64_21507`
3×	`associate-l_binary64_21502` `flip3--_binary64_21565` `flip--_binary64_21536`
2×	`div-exp_binary64_21612` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594` `cbrt-undiv_binary64_21595` `unswap-sqr_binary64_21529` `div-inv_binary64_21558` `associate-/l/_binary64_21508`
1×	`pow-prod-down_binary64_21632` `associate-r/_binary64_21503` `-commutative_binary64_21492` `sum-log_binary64_21652` `flip3-+_binary64_21564` `flip-+_binary64_21535` `+-commutative_binary64_21491` `frac-2neg_binary64_21572` `div-sub_binary64_21566` `clear-num_binary64_21560`

Counts

3 → 113

Calls

3 calls:

216.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
16.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
12.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))

Compiler

Compiled 2615 to 988 computations (62.2% saved)

series1.2s (11.3%)

Error

0.0b

Counts

3 → 91

Calls

3 calls:

519.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
324.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
258.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 5289 to 3859 computations (27% saved)

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5352	3915

prune173.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	204	5	209

Error

0.0b

Counts

209 → 5

Compiler

Compiled 4016 to 1519 computations (62.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 60 (-.f64 x y))
0.0b	(/.f64 1 (-.f64 z t))
0.0b	(+.f64 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))) (*.f64 a 120))
1.0b	(.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t)))

rewrite203.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

45×	`add-sqr-sqrt_binary64_21583`
43×	`*-un-lft-identity_binary64_21561`
32×	`add-exp-log_binary64_21599`
30×	`times-frac_binary64_21567`
27×	`add-cube-cbrt_binary64_21596`
26×	`associate-r_binary64_21501`
20×	`add-cbrt-cube_binary64_21597`
13×	`prod-exp_binary64_21610`
12×	`pow1_binary64_21622`
8×	`difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513`
7×	`cbrt-unprod_binary64_21594` `associate-*r/_binary64_21503`
6×	`div-exp_binary64_21612` `add-log-exp_binary64_21600` `cancel-sign-sub-inv_binary64_21527`
5×	`flip3--_binary64_21565` `flip--_binary64_21536` `associate-/r*_binary64_21505`
4×	`pow-prod-down_binary64_21632` `associate-l_binary64_21502` `associate-/r/_binary64_21507` `distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510`
3×	`1-exp_binary64_21605` `rec-exp_binary64_21611` `cbrt-undiv_binary64_21595` `associate-/l*_binary64_21506`
2×	`frac-times_binary64_21571` `associate-l/_binary64_21504` `div-inv_binary64_21558` `-commutative_binary64_21492` `sub-neg_binary64_21554`
1×	`un-div-inv_binary64_21559` `sum-log_binary64_21652` `flip3-+_binary64_21564` `flip-+_binary64_21535` `+-commutative_binary64_21491` `inv-pow_binary64_21646` `pow-flip_binary64_21635` `frac-2neg_binary64_21572` `clear-num_binary64_21560` `unswap-sqr_binary64_21529`

Counts

4 → 132

Calls

4 calls:

16.0ms	(.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t)))
14.0ms	(+.f64 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))) (*.f64 a 120))
10.0ms	(/.f64 1 (-.f64 z t))
7.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 3092 to 1703 computations (44.9% saved)

series1.1s (10.6%)

Error

0.0b

Counts

4 → 97

Calls

4 calls:

537.0ms	(+.f64 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))) (*.f64 a 120))
323.0ms	(.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t)))
86.0ms	(/.f64 1 (-.f64 z t))
76.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 5199 to 3984 computations (23.4% saved)

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4976	3672
1	4976	3672

prune220.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	229	5	234

Error

0.0b

Counts

234 → 5

Compiler

Compiled 4328 to 2190 computations (49.4% saved)

regimes861.0ms (8.2%)

Accuracy

Total 0.1b remaining (90.6%)

Threshold costs 0.1b (90.6%)

Compiler

Compiled 8512 to 7389 computations (13.2% 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%)

sample1.6s (14.9%)

Algorithm

1×

intervals

Results

358.0ms	7882×	body	128	valid
34.0ms	690×	body	128	invalid
7.0ms	44×	body	1024	valid
6.0ms	30×	body	2048	valid
3.0ms	24×	body	512	valid
1.0ms	17×	body	256	valid
1.0ms	3×	body	4096	valid

Compiler

Compiled 765 to 668 computations (12.7% saved)

Details

analyze1.2s (11.5%)

sample26.0ms (0.3%)

simplify145.0ms (1.4%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite118.0ms (1.1%)

series988.0ms (9.4%)

simplify78.0ms (0.7%)

prune147.0ms (1.4%)

localize9.0ms (0.1%)

rewrite306.0ms (2.9%)

series1.2s (11.4%)

simplify115.0ms (1.1%)

prune292.0ms (2.8%)

localize9.0ms (0.1%)

rewrite361.0ms (3.4%)

series1.2s (11.3%)

simplify73.0ms (0.7%)

prune173.0ms (1.6%)

localize11.0ms (0.1%)

rewrite203.0ms (1.9%)

series1.1s (10.6%)

simplify89.0ms (0.8%)

prune220.0ms (2.1%)

regimes861.0ms (8.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (14.9%)

Profiling