Details

analyze1.1s (7.8%)

Algorithm

1×

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 (0.2%)

Algorithm

1×

intervals

Results

10.0ms	249×	body	128	valid
1.0ms	25×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	2048	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify222.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (126.0ms)

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

0.7b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.7b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.0b	(*.f64 60 (-.f64 x y))
0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.0b	(*.f64 60 (-.f64 x y))
0.7b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_23970`
15×	`*-un-lft-identity_binary64_23948`
10×	`add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984`
9×	`add-cube-cbrt_binary64_23983`
6×	`cancel-sign-sub-inv_binary64_23914`
5×	`associate-/r_binary64_23892` `add-log-exp_binary64_23987` `associate-r*_binary64_23888` `times-frac_binary64_23954` `pow1_binary64_24009`
4×	`associate-*r/_binary64_23890` `distribute-rgt-in_binary64_23898` `distribute-lft-in_binary64_23897`
3×	`flip3--_binary64_23952` `difference-of-squares_binary64_23917` `associate-l_binary64_23889` `flip--_binary64_23923` `distribute-lft-out--_binary64_23900`
2×	`associate-/l/_binary64_23895` `div-exp_binary64_23999` `prod-exp_binary64_23997` `associate-/r/_binary64_23894` `cbrt-undiv_binary64_23982` `sub-neg_binary64_23941` `cbrt-unprod_binary64_23981`
1×	`div-inv_binary64_23945` `flip-+_binary64_23922` `associate-/l_binary64_23893` `clear-num_binary64_23947` `-commutative_binary64_23879` `flip3-+_binary64_23951` `frac-2neg_binary64_23959` `+-commutative_binary64_23878` `unswap-sqr_binary64_23916` `sum-log_binary64_24039` `pow-prod-down_binary64_24019`

Counts

3 → 70

Calls

6 calls:

16.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
11.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
7.0ms	(*.f64 60 (-.f64 x y))
0.0ms	(*.f64 60 (-.f64 x y))
0.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))

series985.0ms (7.3%)

Counts

3 → 90

Calls

3 calls:

567.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
352.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
66.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 2913 to 2513 computations (13.7% saved)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5035	3691

prune213.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	153	7	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	153	8	161

Error

0.0b

Counts

161 → 8

Compiler

Compiled 3528 to 1790 computations (49.3% saved)

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

rewrite50.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_23970`
71×	`*-un-lft-identity_binary64_23948`
51×	`times-frac_binary64_23954`
31×	`associate-r_binary64_23888`
27×	`add-cube-cbrt_binary64_23983`
22×	`difference-of-squares_binary64_23917` `distribute-lft-out--_binary64_23900`
10×	`add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984`
5×	`associate-/l_binary64_23893` `associate-/r_binary64_23892` `add-log-exp_binary64_23987` `pow1_binary64_24009`
4×	`associate-/r/_binary64_23894`
3×	`flip3--_binary64_23952` `associate-l_binary64_23889` `flip--_binary64_23923`
2×	`associate-/l/_binary64_23895` `div-exp_binary64_23999` `prod-exp_binary64_23997` `cbrt-undiv_binary64_23982` `div-inv_binary64_23945` `cbrt-unprod_binary64_23981` `unswap-sqr_binary64_23916`
1×	`associate-r/_binary64_23890` `div-sub_binary64_23953` `flip-+_binary64_23922` `clear-num_binary64_23947` `-commutative_binary64_23879` `flip3-+_binary64_23951` `frac-2neg_binary64_23959` `+-commutative_binary64_23878` `sum-log_binary64_24039` `pow-prod-down_binary64_24019`

Counts

3 → 113

Calls

6 calls:

15.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
12.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
11.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
0.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
0.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

series1.2s (8.9%)

Counts

3 → 114

Calls

3 calls:

564.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
355.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
280.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 3897 to 3251 computations (16.6% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5521	6167

prune235.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	225	2	227
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	226	9	235

Error

0.0b

Counts

235 → 9

Compiler

Compiled 5734 to 2203 computations (61.6% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 60 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z t))))
0.3b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z t)))
0.0b	(/.f64 1 (-.f64 z t))
0.0b	(+.f64 (.f64 60 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z t)))) (*.f64 a 120))
0.0b	(/.f64 1 (-.f64 z t))
0.0b	(+.f64 (.f64 60 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z t)))) (*.f64 a 120))
0.3b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z t)))
0.3b	(.f64 60 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z t))))

rewrite64.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_23970`
42×	`*-un-lft-identity_binary64_23948`
32×	`add-exp-log_binary64_23986` `times-frac_binary64_23954`
25×	`add-cube-cbrt_binary64_23983`
22×	`associate-r_binary64_23888`
20×	`add-cbrt-cube_binary64_23984`
13×	`prod-exp_binary64_23997`
12×	`pow1_binary64_24009`
8×	`associate-r/_binary64_23890` `difference-of-squares_binary64_23917` `associate-l*_binary64_23889` `distribute-lft-out--_binary64_23900`
7×	`cbrt-unprod_binary64_23981`
6×	`div-exp_binary64_23999` `flip3--_binary64_23952` `flip--_binary64_23923` `add-log-exp_binary64_23987`
5×	`associate-/r*_binary64_23892`
4×	`associate-/r/_binary64_23894` `associate-*l/_binary64_23891` `frac-times_binary64_23958` `pow-prod-down_binary64_24019`
3×	`cbrt-undiv_binary64_23982` `associate-/l*_binary64_23893` `rec-exp_binary64_23998` `1-exp_binary64_23992` `unswap-sqr_binary64_23916`
2×	`div-inv_binary64_23945` `un-div-inv_binary64_23946` `*-commutative_binary64_23879`
1×	`pow-flip_binary64_24022` `inv-pow_binary64_24033` `flip-+_binary64_23922` `clear-num_binary64_23947` `flip3-+_binary64_23951` `frac-2neg_binary64_23959` `+-commutative_binary64_23878` `sum-log_binary64_24039`

Counts

4 → 130

Calls

8 calls:

16.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z t)))
14.0ms	(+.f64 (.f64 60 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z t)))) (*.f64 a 120))
14.0ms	(.f64 60 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z t))))
9.0ms	(/.f64 1 (-.f64 z t))
0.0ms	(+.f64 (.f64 60 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z t)))) (*.f64 a 120))

series1.3s (9.5%)

Counts

4 → 138

Calls

4 calls:

569.0ms	(+.f64 (.f64 60 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z t)))) (*.f64 a 120))
363.0ms	(.f64 60 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z t))))
277.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z t)))
80.0ms	(/.f64 1 (-.f64 z t))

Compiler

Compiled 4470 to 3776 computations (15.5% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5119	6485

prune284.0ms (2.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	268	0	268
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	268	9	277

Error

0.0b

Counts

277 → 9

Compiler

Compiled 6505 to 2879 computations (55.7% saved)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t))))
0.2b	(/.f64 60 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))
0.2b	(/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t)))
0.0b	(+.f64 (.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t)))) (*.f64 a 120))
0.5b	(*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))
0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_23979`
37×	`add-sqr-sqrt_binary64_23970`
35×	`*-un-lft-identity_binary64_23948`
18×	`cbrt-div_binary64_23980`
15×	`add-cube-cbrt_binary64_23983`
11×	`pow1_binary64_24009`
10×	`swap-sqr_binary64_23915`
9×	`flip3--_binary64_23952` `flip--_binary64_23923` `distribute-lft-out--_binary64_23900` `pow1/3_binary64_24030`
8×	`associate-l_binary64_23889` `associate-r_binary64_23888`
7×	`difference-of-squares_binary64_23917`
6×	`add-exp-log_binary64_23986`
4×	`frac-times_binary64_23958` `add-cbrt-cube_binary64_23984` `unswap-sqr_binary64_23916` `add-log-exp_binary64_23987`
2×	`associate-r/_binary64_23890` `pow-prod-up_binary64_24018` `associate-l/_binary64_23891` `pow-sqr_binary64_23921` `pow-prod-down_binary64_24019`
1×	`prod-exp_binary64_23997` `cbrt-unprod_binary64_23981` `*-commutative_binary64_23879` `pow2_binary64_24029` `pow-plus_binary64_24011`

Counts

4 → 101

Calls

8 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))
3.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))
0.0ms	(+.f64 (.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t)))) (*.f64 a 120))

series629.0ms (4.7%)

Counts

4 → 60

Calls

4 calls:

218.0ms	(*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))
139.0ms	(cbrt.f64 (-.f64 z t))
137.0ms	(cbrt.f64 (-.f64 z t))
134.0ms	(cbrt.f64 (-.f64 z t))

Compiler

Compiled 3284 to 2768 computations (15.7% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4912	2702
1	4912	2702

prune189.0ms (1.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	161	9	170

Error

0.0b

Counts

170 → 9

Compiler

Compiled 4878 to 1825 computations (62.6% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	303	855
1	303	855

regimes636.0ms (4.7%)

Compiler: Compiled 6246 to 5656 computations (9.4% saved)

bsearch0.0ms (0%)

regimes269.0ms (2%)

Compiler: Compiled 1390 to 1796 computations (-29.2% saved)

bsearch0.0ms (0%)

regimes992.0ms (7.3%)

Compiler: Compiled 1217 to 1684 computations (-38.4% saved)

bsearch46.0ms (0.3%)

Steps

Iters	Range		Point
9	9.134604592675999e+36	8.09994390996861e+41	1.7373159833082848e+41
9	-263357474.3656526	-6.012746418646308	-260020515.0067386

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes625.0ms (4.6%)

Compiler: Compiled 755 to 1167 computations (-54.6% saved)

bsearch47.0ms (0.3%)

Steps

Iters	Range		Point
9	9.134604592675999e+36	8.09994390996861e+41	6.047580941312403e+40
9	-263357474.3656526	-6.012746418646308	-1315.923661634787

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes474.0ms (3.5%)

Compiler: Compiled 645 to 1047 computations (-62.3% saved)

bsearch39.0ms (0.3%)

Steps

Iters	Range		Point
6	1.0947001193985808e-54	7.852152010125545e-54	1.109109574260039e-54
10	-5.95776494976241e-28	-4.853028684473817e-41	-8.438214582973926e-40

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes464.0ms (3.4%)

Compiler: Compiled 535 to 927 computations (-73.3% saved)

bsearch42.0ms (0.3%)

Steps

Iters	Range		Point
6	1.0947001193985808e-54	7.852152010125545e-54	1.431898629932874e-54
10	-5.95776494976241e-28	-4.853028684473817e-41	-4.950375599818289e-41

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes532.0ms (3.9%)

Compiler: Compiled 346 to 654 computations (-89% saved)

bsearch33.0ms (0.2%)

Steps

Iters	Range		Point
7	8.488813572105782e-13	4.916806958047329e-11	4.188647153338975e-11
7	-4891218653491.953	-248927042959.07266	-4521769711415.359

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes277.0ms (2.1%)

Compiler: Compiled 162 to 377 computations (-132.7% saved)

bsearch102.0ms (0.8%)

Steps

Iters	Range		Point
10	1.0845407113421098e-26	2.0576304884711824e-14	3.7929893181978897e-25
10	3.467352516225789e-297	3.092521528475246e-281	3.073055670621317e-282
9	-7.102747104758176e-279	-1.2973764285953085e-285	-3.905950029673212e-279
4	-1.7788956684546326e-223	-1.3202631410542044e-223	-1.713304714660911e-223
10	-5.95776494976241e-28	-4.853028684473817e-41	-5.7119562340904354e-40

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes193.0ms (1.4%)

Compiler: Compiled 113 to 314 computations (-177.9% saved)

bsearch42.0ms (0.3%)

Steps

Iters	Range		Point
10	1.0845407113421098e-26	2.0576304884711824e-14	1.1231346424430363e-26
8	-4.090866547364668e-107	-1.0795441836455135e-111	-1.3535639017794501e-107

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes66.0ms (0.5%)

Compiler: Compiled 52 to 214 computations (-311.5% saved)

bsearch0.0ms (0%)

regimes49.0ms (0.4%)

Compiler: Compiled 25 to 140 computations (-460% saved)

bsearch0.0ms (0%)

regimes42.0ms (0.3%)

Accuracy

Total 0.1b remaining (91.3%)

Threshold costs 0.1b (91.3%)

Compiler

Compiled 20 to 110 computations (-450% saved)

bsearch16.0ms (0.1%)

Compiler: Compiled 315 to 260 computations (17.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	131	412
1	131	412

end0.0ms (0%)

sample1.6s (11.6%)

Algorithm

1×

intervals

Results

339.0ms	7869×	body	128	valid
26.0ms	644×	body	128	invalid
8.0ms	42×	body	2048	valid
7.0ms	48×	body	1024	valid
2.0ms	19×	body	512	valid
1.0ms	19×	body	256	valid
1.0ms	3×	body	4096	valid

Compiler

Compiled 885 to 789 computations (10.8% saved)

Pareto

0.4822894775268678

Details

analyze1.1s (7.8%)

sample26.0ms (0.2%)

simplify222.0ms (1.6%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite41.0ms (0.3%)

series985.0ms (7.3%)

simplify86.0ms (0.6%)

prune213.0ms (1.6%)

localize10.0ms (0.1%)

rewrite50.0ms (0.4%)

series1.2s (8.9%)

simplify89.0ms (0.7%)

prune235.0ms (1.7%)

localize11.0ms (0.1%)

rewrite64.0ms (0.5%)

series1.3s (9.5%)

simplify90.0ms (0.7%)

prune284.0ms (2.1%)

localize14.0ms (0.1%)

rewrite34.0ms (0.2%)

series629.0ms (4.7%)

simplify97.0ms (0.7%)

prune189.0ms (1.4%)

simplify15.0ms (0.1%)

regimes636.0ms (4.7%)

bsearch0.0ms (0%)

regimes269.0ms (2%)

bsearch0.0ms (0%)

regimes992.0ms (7.3%)

bsearch46.0ms (0.3%)

regimes625.0ms (4.6%)

bsearch47.0ms (0.3%)

regimes474.0ms (3.5%)

bsearch39.0ms (0.3%)

regimes464.0ms (3.4%)

bsearch42.0ms (0.3%)

regimes532.0ms (3.9%)

bsearch33.0ms (0.2%)

regimes277.0ms (2.1%)

bsearch102.0ms (0.8%)

regimes193.0ms (1.4%)

bsearch42.0ms (0.3%)

regimes66.0ms (0.5%)

bsearch0.0ms (0%)

regimes49.0ms (0.4%)

bsearch0.0ms (0%)

regimes42.0ms (0.3%)

bsearch16.0ms (0.1%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample1.6s (11.6%)

Profiling