Details

analyze1.1s (14.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5141	49
0	4	4
1	4	4

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
5.8%	94%	0.2%	9
7.6%	92.2%	0.2%	10
11.6%	88.2%	0.2%	11
18.5%	81.3%	0.2%	12
32.3%	66.9%	0.8%	13
37%	62.2%	0.8%	14

Symmetry

(sort x y)

Compiler

Compiled 10 to 9 computations (10% saved)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	51×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify180.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	4367	7
1	4367	7

prune4.0ms (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

8.7b

Counts

2 → 2

Compiler

Compiled 19 to 20 computations (-5.3% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

8.4b	(*.f64 x (/.f64 y z))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_16809`
13×	`associate-r_binary64_16727`
10×	`times-frac_binary64_16793`
9×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
6×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
3×	`pow1_binary64_16848` `associate-l_binary64_16728`
2×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `unswap-sqr_binary64_16755`
1×	`pow-prod-down_binary64_16858` `div-exp_binary64_16838` `add-log-exp_binary64_16826` `cbrt-undiv_binary64_16821` `associate-r/_binary64_16729` `div-inv_binary64_16784` `-commutative_binary64_16718`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 x (/.f64 y z))

Compiler

Compiled 373 to 121 computations (67.6% saved)

series103.0ms (1.3%)

Error

0.1b

Counts

1 → 9

Calls

1 calls:

98.0ms

(*.f64 x (/.f64 y z))

Compiler

Compiled 135 to 114 computations (15.6% saved)

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4985	390
1	4985	390

prune34.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	34	7	41
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	35	8	43

Error

0.0b

Counts

43 → 8

Compiler

Compiled 449 to 148 computations (67% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
4.7b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

rewrite96.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

38×	`add-sqr-sqrt_binary64_16809`
28×	`times-frac_binary64_16793`
25×	`add-exp-log_binary64_16825`
22×	`add-cube-cbrt_binary64_16822` `-un-lft-identity_binary64_16787` `associate-r*_binary64_16727`
20×	`cbrt-prod_binary64_16818`
18×	`add-cbrt-cube_binary64_16823`
8×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820`
7×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `associate-l_binary64_16728`
6×	`pow1_binary64_16848` `unswap-sqr_binary64_16755`
4×	`add-log-exp_binary64_16826`
3×	`pow1/3_binary64_16869`
2×	`div-inv_binary64_16784`
1×	`pow-prod-down_binary64_16858` `frac-times_binary64_16797` `associate-l/_binary64_16730` `associate-r/_binary64_16729` `*-commutative_binary64_16718`

Counts

4 → 92

Calls

4 calls:

15.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1799 to 346 computations (80.8% saved)

series356.0ms (4.6%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

126.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
78.0ms	(cbrt.f64 z)
73.0ms	(cbrt.f64 z)
69.0ms	(cbrt.f64 z)

Compiler

Compiled 552 to 425 computations (23% saved)

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4976	1251
1	4976	1251

prune78.0ms (1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	109	9	118

Error

0.0b

Counts

118 → 9

Compiler

Compiled 1629 to 492 computations (69.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 (cbrt.f64 x) (cbrt.f64 z)))
1.7b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z)) (*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 (cbrt.f64 x) (cbrt.f64 z))))

rewrite221.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

99×	`add-sqr-sqrt_binary64_16809`
85×	`add-exp-log_binary64_16825`
82×	`times-frac_binary64_16793`
71×	`cbrt-prod_binary64_16818`
47×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
41×	`add-cbrt-cube_binary64_16823` `associate-r_binary64_16727`
36×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820`
32×	`associate-l_binary64_16728`
26×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821`
15×	`unswap-sqr_binary64_16755`
11×	`pow1_binary64_16848`
6×	`frac-times_binary64_16797` `associate-*r/_binary64_16729`
4×	`pow-prod-down_binary64_16858` `add-log-exp_binary64_16826` `associate-*l/_binary64_16730`
3×	`div-inv_binary64_16784`
2×	`*-commutative_binary64_16718` `pow1/3_binary64_16869`

Counts

4 → 177

Calls

4 calls:

29.0ms	(*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 (cbrt.f64 x) (cbrt.f64 z)))
18.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z)) (*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 (cbrt.f64 x) (cbrt.f64 z))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 5089 to 696 computations (86.3% saved)

series721.0ms (9.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

402.0ms	(*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 (cbrt.f64 x) (cbrt.f64 z)))
141.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z)) (*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 (cbrt.f64 x) (cbrt.f64 z))))
80.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 x)

Compiler

Compiled 1173 to 844 computations (28% saved)

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5028	3716

prune158.0ms (2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	199	2	201
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	200	10	210

Error

0.0b

Counts

210 → 10

Compiler

Compiled 4602 to 770 computations (83.3% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.7b	(.f64 (/.f64 y (cbrt.f64 z)) (/.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))))
1.7b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z)) (.f64 (.f64 (/.f64 y (cbrt.f64 z)) (/.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))))) (/.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 z)))))

rewrite443.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

537×	`add-exp-log_binary64_16825`
284×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820`
232×	`add-cbrt-cube_binary64_16823`
170×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821`
36×	`add-sqr-sqrt_binary64_16809`
32×	`associate-l_binary64_16728` `times-frac_binary64_16793`
23×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
20×	`cbrt-prod_binary64_16818`
18×	`frac-times_binary64_16797`
15×	`pow1_binary64_16848`
14×	`associate-*r/_binary64_16729`
12×	`associate-*l/_binary64_16730`
7×	`pow-prod-down_binary64_16858`
6×	`associate-r_binary64_16727` `unswap-sqr_binary64_16755`
4×	`add-log-exp_binary64_16826`
3×	`div-inv_binary64_16784`
2×	`*-commutative_binary64_16718` `pow1/3_binary64_16869`

Counts

4 → 262

Calls

4 calls:

40.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z)) (.f64 (.f64 (/.f64 y (cbrt.f64 z)) (/.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))))) (/.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 z)))))
19.0ms	(.f64 (/.f64 y (cbrt.f64 z)) (/.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 14408 to 940 computations (93.5% saved)

series925.0ms (12%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

588.0ms	(.f64 (/.f64 y (cbrt.f64 z)) (/.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))))
160.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z)) (.f64 (.f64 (/.f64 y (cbrt.f64 z)) (/.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))))) (/.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 z)))))
79.0ms	(cbrt.f64 x)
74.0ms	(cbrt.f64 x)

Compiler

Compiled 1791 to 1107 computations (38.2% saved)

simplify144.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5205	5869

prune219.0ms (2.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	286	0	286
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	286	10	296

Error

0.0b

Counts

296 → 10

Compiler

Compiled 6722 to 1273 computations (81.1% saved)

regimes724.0ms (9.4%)

Accuracy

Total 1.3b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 5719 to 3748 computations (34.5% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	134
1	46	134

Compiler

Compiled 176 to 72 computations (59.1% saved)

end0.0ms (0%)

sample1.8s (23.5%)

Algorithm

1×

intervals

Results

488.0ms	8000×	body	128	valid
52.0ms	1573×	body	128	invalid

Compiler

Compiled 951 to 581 computations (38.9% saved)

Details

analyze1.1s (14.4%)

sample29.0ms (0.4%)

simplify180.0ms (2.3%)

prune4.0ms (0%)

localize4.0ms (0%)

rewrite44.0ms (0.6%)

series103.0ms (1.3%)

simplify92.0ms (1.2%)

prune34.0ms (0.4%)

localize7.0ms (0.1%)

rewrite96.0ms (1.2%)

series356.0ms (4.6%)

simplify70.0ms (0.9%)

prune78.0ms (1%)

localize12.0ms (0.2%)

rewrite221.0ms (2.9%)

series721.0ms (9.3%)

simplify90.0ms (1.2%)

prune158.0ms (2%)

localize23.0ms (0.3%)

rewrite443.0ms (5.7%)

series925.0ms (12%)

simplify144.0ms (1.9%)

prune219.0ms (2.8%)

regimes724.0ms (9.4%)

bsearch2.0ms (0%)

simplify13.0ms (0.2%)

end0.0ms (0%)

sample1.8s (23.5%)

Profiling