Details

analyze972.0ms (3.2%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample36.0ms (0.1%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify409.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

prune12.0ms (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

Merged error: 5.9b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize12.0ms (0%)

Local error

Found 1 expressions with local error:

5.7b	(/.f64 (*.f64 x y) z)

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
3×	`-un-lft-identity_binary64_18151` `times-frac_binary64_18157` `add-sqr-sqrt_binary64_18173` `add-cube-cbrt_binary64_18186` `associate-/r_binary64_18095`
2×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185`
1×	`div-inv_binary64_18148` `pow1_binary64_18212` `associate-/l*_binary64_18096` `clear-num_binary64_18150` `frac-2neg_binary64_18162` `add-log-exp_binary64_18190` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`

Counts

1 → 21

Calls

1 calls:

21.0ms

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

series81.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

81.0ms

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

simplify255.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (231.0ms)

Iter	Nodes	Cost
0	4671	219
1	4671	219

prune367.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	12	12	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	13	25

Merged error: 0.0b

Counts

25 → 13

Compiler

Compiled 306 to 137 computations (55.2% saved)

localize22.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.2b	(*.f64 x (/.f64 y z))

rewrite52.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_18173`
13×	`associate-r_binary64_18091`
10×	`times-frac_binary64_18157`
9×	`*-un-lft-identity_binary64_18151` `add-cube-cbrt_binary64_18186`
6×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
3×	`pow1_binary64_18212` `associate-l_binary64_18092`
2×	`unswap-sqr_binary64_18119` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
1×	`div-exp_binary64_18202` `div-inv_binary64_18148` `associate-r/_binary64_18093` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `add-log-exp_binary64_18190` `cbrt-undiv_binary64_18185`

Counts

1 → 32

Calls

1 calls:

41.0ms

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

series104.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

104.0ms

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

simplify448.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (406.0ms)

Iter	Nodes	Cost
0	4985	348
1	4985	348

prune486.0ms (1.6%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	19	16	35
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	19	29	48

Merged error: 0.0b

Counts

48 → 29

Compiler

Compiled 663 to 298 computations (55.1% saved)

localize59.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.9b	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite97.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_18189`
14×	`add-cbrt-cube_binary64_18187`
12×	`add-sqr-sqrt_binary64_18173`
9×	`*-un-lft-identity_binary64_18151` `cbrt-prod_binary64_18182` `add-cube-cbrt_binary64_18186` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
6×	`pow1_binary64_18212`
5×	`associate-r_binary64_18091`
4×	`div-exp_binary64_18202` `add-log-exp_binary64_18190` `cbrt-undiv_binary64_18185`
3×	`pow1/3_binary64_18233` `associate-l_binary64_18092`
2×	`unswap-sqr_binary64_18119` `times-frac_binary64_18157`
1×	`div-inv_binary64_18148` `associate-r/_binary64_18093` `pow-prod-down_binary64_18222` `-commutative_binary64_18082`

Counts

4 → 63

Calls

4 calls:

58.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
8.0ms	(cbrt.f64 y)
6.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series1.6s (5.4%)

Counts

4 → 12

Calls

4 calls:

432.0ms	(cbrt.f64 y)
425.0ms	(cbrt.f64 y)
417.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
373.0ms	(cbrt.f64 y)

simplify196.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (164.0ms)

Iter	Nodes	Cost
0	4944	794
1	4944	794

prune1.6s (5.3%)

Pruning

60 alts after pruning (57 fresh and 3 done)

	Pruned	Kept	Total
New	44	31	75
Fresh	0	26	26
Picked	0	1	1
Done	0	2	2
Total	44	60	104

Merged error: 0.0b

Counts

104 → 60

Compiler

Compiled 2639 to 1092 computations (58.6% saved)

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_18182`
8×	`*-un-lft-identity_binary64_18151` `add-sqr-sqrt_binary64_18173` `add-cube-cbrt_binary64_18186`
4×	`pow1_binary64_18212` `add-cbrt-cube_binary64_18187` `pow1/3_binary64_18233` `add-exp-log_binary64_18189` `add-log-exp_binary64_18190`

Counts

4 → 44

Calls

4 calls:

10.0ms	(cbrt.f64 y)
5.0ms	(cbrt.f64 z)
3.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series1.6s (5.2%)

Counts

4 → 12

Calls

4 calls:

423.0ms	(cbrt.f64 y)
410.0ms	(cbrt.f64 z)
386.0ms	(cbrt.f64 y)
376.0ms	(cbrt.f64 y)

simplify121.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5087	340

prune1.3s (4.2%)

Pruning

81 alts after pruning (77 fresh and 4 done)

	Pruned	Kept	Total
New	34	22	56
Fresh	1	55	56
Picked	0	1	1
Done	0	3	3
Total	35	81	116

Merged error: 0.0b

Counts

116 → 81

Compiler

Compiled 1240 to 239 computations (80.7% saved)

regimes7.0s (22.9%)

Compiler: Compiled 13809 to 8574 computations (37.9% saved)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	26	38
1	26	38

end0.0ms (0%)

sample13.5s (44.3%)

Algorithm

1×

intervals

Results

777.0ms	8000×	body	128	valid
189.0ms	772×	body	128	invalid

Compiler

Compiled 2778 to 1722 computations (38% saved)

Pareto

Details

analyze972.0ms (3.2%)

sample36.0ms (0.1%)

simplify409.0ms (1.3%)

prune12.0ms (0%)

localize12.0ms (0%)

rewrite30.0ms (0.1%)

series81.0ms (0.3%)

simplify255.0ms (0.8%)

prune367.0ms (1.2%)

localize22.0ms (0.1%)

rewrite52.0ms (0.2%)

series104.0ms (0.3%)

simplify448.0ms (1.5%)

prune486.0ms (1.6%)

localize59.0ms (0.2%)

rewrite97.0ms (0.3%)

series1.6s (5.4%)

simplify196.0ms (0.6%)

prune1.6s (5.3%)

localize51.0ms (0.2%)

rewrite27.0ms (0.1%)

series1.6s (5.2%)

simplify121.0ms (0.4%)

prune1.3s (4.2%)

regimes7.0s (22.9%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

end0.0ms (0%)

sample13.5s (44.3%)

Profiling