Details

analyze1.0s (0.7%)

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
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample31.0ms (0%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	56×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify210.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

prune14.0ms (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: 9.1b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize25.0ms (0%)

Local error

Found 1 expressions with local error:

8.8b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

rewrite26.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
4×	`prod-exp_binary64_3196` `cbrt-undiv_binary64_3181` `cbrt-unprod_binary64_3180` `div-exp_binary64_3198`
1×	`times-frac_binary64_3153` `-un-lft-identity_binary64_3147` `clear-num_binary64_3146` `frac-2neg_binary64_3158` `associate-/r_binary64_3091` `add-sqr-sqrt_binary64_3169` `pow1_binary64_3208` `add-log-exp_binary64_3186` `associate-/l*_binary64_3092` `add-cube-cbrt_binary64_3182` `div-inv_binary64_3144`

Counts

1 → 21

Calls

1 calls:

24.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series136.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

136.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify286.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (260.0ms)

Iter	Nodes	Cost
0	5076	280

prune141.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	15	9	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	10	25

Merged error: 0.1b

Counts

25 → 10

Compiler

Compiled 335 to 128 computations (61.8% saved)

localize37.0ms (0%)

Local error

Found 1 expressions with local error:

8.8b	(/.f64 (neg.f64 (.f64 a1 a2)) (neg.f64 (.f64 b1 b2)))

rewrite51.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_3153`
15×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
14×	`neg-mul-1_binary64_3143` `distribute-lft-neg-in_binary64_3104` `distribute-rgt-neg-in_binary64_3105`
6×	`associate-/r_binary64_3091` `associate-/l_binary64_3092`
3×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
1×	`clear-num_binary64_3146` `distribute-frac-neg_binary64_3110` `frac-2neg_binary64_3158` `pow1_binary64_3208` `neg-sub0_binary64_3142` `div-sub_binary64_3152` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `add-log-exp_binary64_3186` `div-inv_binary64_3144`

Counts

1 → 62

Calls

1 calls:

33.0ms

(/.f64 (neg.f64 (*.f64 a1 a2)) (neg.f64 (*.f64 b1 b2)))

series147.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

147.0ms

(/.f64 (neg.f64 (*.f64 a1 a2)) (neg.f64 (*.f64 b1 b2)))

simplify387.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (237.0ms)

Iter	Nodes	Cost
0	4996	1177
1	4996	1177

prune852.0ms (0.6%)

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	34	31	65
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	35	40	75

Merged error: 0.0b

Counts

75 → 40

Compiler

Compiled 1504 to 579 computations (61.5% saved)

localize37.0ms (0%)

Local error

Found 4 expressions with local error:

3.8b	(.f64 (/.f64 a1 (.f64 (cbrt.f64 (neg.f64 (.f64 b1 b2))) (cbrt.f64 (neg.f64 (.f64 b1 b2))))) (neg.f64 a2))
11.8b	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))
11.8b	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))
11.8b	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))

rewrite71.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_3178`
16×	`add-sqr-sqrt_binary64_3169`
13×	`add-exp-log_binary64_3185`
12×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
11×	`add-cbrt-cube_binary64_3183`
10×	`associate-r_binary64_3087`
7×	`associate-l_binary64_3088`
6×	`distribute-lft-neg-in_binary64_3104` `pow1_binary64_3208` `distribute-rgt-neg-in_binary64_3105`
4×	`times-frac_binary64_3153` `neg-mul-1_binary64_3143` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `add-log-exp_binary64_3186`
3×	`pow1/3_binary64_3229`
2×	`unswap-sqr_binary64_3115` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198`
1×	`-commutative_binary64_3078` `distribute-rgt-neg-out_binary64_3107` `pow-prod-down_binary64_3218` `associate-l/_binary64_3090` `div-inv_binary64_3144`

Counts

4 → 78

Calls

4 calls:

38.0ms	(.f64 (/.f64 a1 (.f64 (cbrt.f64 (neg.f64 (.f64 b1 b2))) (cbrt.f64 (neg.f64 (.f64 b1 b2))))) (neg.f64 a2))
7.0ms	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))
7.0ms	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))
3.0ms	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))

series1.8s (1.2%)

Counts

4 → 12

Calls

4 calls:

1.0s	(.f64 (/.f64 a1 (.f64 (cbrt.f64 (neg.f64 (.f64 b1 b2))) (cbrt.f64 (neg.f64 (.f64 b1 b2))))) (neg.f64 a2))
321.0ms	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))
311.0ms	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))
180.0ms	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))

simplify134.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5111	1662

prune1.5s (1%)

Pruning

75 alts after pruning (72 fresh and 3 done)

	Pruned	Kept	Total
New	55	35	90
Fresh	0	37	37
Picked	0	1	1
Done	0	2	2
Total	55	75	130

Merged error: 0.0b

Counts

130 → 75

Compiler

Compiled 4064 to 1429 computations (64.8% saved)

localize81.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (.f64 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (cbrt.f64 (neg.f64 (.f64 b1 b2)))) (.f64 (neg.f64 a2) (/.f64 (cbrt.f64 a1) (cbrt.f64 (neg.f64 (.f64 b1 b2)))))) (cbrt.f64 (neg.f64 (.f64 b1 b2))))
11.8b	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))
11.8b	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))
11.8b	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))

rewrite136.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-exp-log_binary64_3185`
30×	`cbrt-prod_binary64_3178`
23×	`add-cbrt-cube_binary64_3183`
19×	`cbrt-undiv_binary64_3181` `div-exp_binary64_3198`
18×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
11×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
9×	`times-frac_binary64_3153` `associate-/r*_binary64_3091`
5×	`neg-mul-1_binary64_3143` `distribute-lft-neg-in_binary64_3104` `distribute-rgt-neg-in_binary64_3105`
4×	`pow1_binary64_3208` `add-log-exp_binary64_3186`
3×	`pow1/3_binary64_3229` `associate-/l/_binary64_3094` `associate-*r/_binary64_3089`
1×	`frac-times_binary64_3157` `clear-num_binary64_3146` `distribute-rgt-neg-out_binary64_3107` `distribute-frac-neg_binary64_3110` `associate-l/_binary64_3090` `frac-2neg_binary64_3158` `distribute-lft-neg-out_binary64_3106` `associate-/l_binary64_3092` `div-inv_binary64_3144`

Counts

4 → 95

Calls

4 calls:

84.0ms	(/.f64 (.f64 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (cbrt.f64 (neg.f64 (.f64 b1 b2)))) (.f64 (neg.f64 a2) (/.f64 (cbrt.f64 a1) (cbrt.f64 (neg.f64 (.f64 b1 b2)))))) (cbrt.f64 (neg.f64 (.f64 b1 b2))))
11.0ms	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))
3.0ms	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))
3.0ms	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))

series1.2s (0.8%)

Counts

4 → 12

Calls

4 calls:

531.0ms	(/.f64 (.f64 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (cbrt.f64 (neg.f64 (.f64 b1 b2)))) (.f64 (neg.f64 a2) (/.f64 (cbrt.f64 a1) (cbrt.f64 (neg.f64 (.f64 b1 b2)))))) (cbrt.f64 (neg.f64 (.f64 b1 b2))))
298.0ms	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))
163.0ms	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))
160.0ms	(cbrt.f64 (neg.f64 (*.f64 b1 b2)))

simplify288.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (174.0ms)

Iter	Nodes	Cost
0	5234	2128

prune2.2s (1.5%)

Pruning

117 alts after pruning (113 fresh and 4 done)

	Pruned	Kept	Total
New	65	42	107
Fresh	0	71	71
Picked	0	1	1
Done	0	3	3
Total	65	117	182

Merged error: 0.0b

Counts

182 → 117

Compiler

Compiled 2877 to 389 computations (86.5% saved)

regimes13.0s (8.7%)

Compiler: Compiled 42082 to 24125 computations (42.7% saved)

bsearch1.9min (76.3%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify62.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	131	176
1	131	176

end0.0ms (0%)

sample11.3s (7.6%)

Algorithm

1×

intervals

Results

384.0ms	8000×	body	128	valid
89.0ms	1861×	body	128	invalid

Compiler

Compiled 6510 to 3496 computations (46.3% saved)

Pareto

0.5325225675493652

Details

analyze1.0s (0.7%)

sample31.0ms (0%)

simplify210.0ms (0.1%)

prune14.0ms (0%)

localize25.0ms (0%)

rewrite26.0ms (0%)

series136.0ms (0.1%)

simplify286.0ms (0.2%)

prune141.0ms (0.1%)

localize37.0ms (0%)

rewrite51.0ms (0%)

series147.0ms (0.1%)

simplify387.0ms (0.3%)

prune852.0ms (0.6%)

localize37.0ms (0%)

rewrite71.0ms (0%)

series1.8s (1.2%)

simplify134.0ms (0.1%)

prune1.5s (1%)

localize81.0ms (0.1%)

rewrite136.0ms (0.1%)

series1.2s (0.8%)

simplify288.0ms (0.2%)

prune2.2s (1.5%)

regimes13.0s (8.7%)

bsearch1.9min (76.3%)

simplify62.0ms (0%)

end0.0ms (0%)

sample11.3s (7.6%)

Profiling