Details

analyze1.3s (9.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample81.0ms (0.6%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
20.0ms	281×	body	128	nan
3.0ms	33×	body	128	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify147.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

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

0.1b

Counts

2 → 1

Compiler

Compiled 42 to 40 computations (4.8% saved)

localize23.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
0.0b	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
0.0b	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
0.2b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite43.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_2551`
22×	`add-sqr-sqrt_binary64_2487`
20×	`add-log-exp_binary64_2504`
18×	`*-un-lft-identity_binary64_2465`
16×	`add-cube-cbrt_binary64_2500`
12×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415`
11×	`sum-log_binary64_2556`
10×	`pow1_binary64_2526`
8×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-r_binary64_2405` `associate-l_binary64_2406`
7×	`associate-+l+_binary64_2398`
6×	`associate-*l/_binary64_2408` `associate-+r+_binary64_2397`
4×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `frac-add_binary64_2473`
3×	`flip--_binary64_2440` `flip3--_binary64_2469`
2×	`*-commutative_binary64_2396` `+-commutative_binary64_2395` `log-pow_binary64_2554` `unswap-sqr_binary64_2433` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
1×	`difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417`

Counts

4 → 96

Calls

8 calls:

16.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
7.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
5.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
5.0ms	(*.f64 x (log.f64 y))
0.0ms	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)

series1.9s (13.4%)

Counts

4 → 66

Calls

4 calls:

1.4s	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
212.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
163.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
121.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 2344 to 2202 computations (6.1% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5339	2872

prune232.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	156	6	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	157	6	163

Error

0.0b

Counts

163 → 6

Compiler

Compiled 4227 to 1446 computations (65.8% saved)

localize25.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y)))) z) t)
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y)))) z) t) a)
0.0b	(log.f64 (cbrt.f64 y))
0.0b	(log.f64 (cbrt.f64 y))
0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`log-prod_binary64_2551`
36×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415`
30×	`cbrt-prod_binary64_2496`
26×	`add-sqr-sqrt_binary64_2487`
24×	`*-un-lft-identity_binary64_2465` `associate-+l+_binary64_2398` `add-cube-cbrt_binary64_2500`
12×	`associate-+r+_binary64_2397`
7×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`associate-r_binary64_2405`
3×	`pow1/3_binary64_2547` `associate-l_binary64_2406`
2×	`log-pow_binary64_2554`
1×	`flip3-+_binary64_2468` `*-commutative_binary64_2396` `+-commutative_binary64_2395` `sum-log_binary64_2556` `flip-+_binary64_2439` `unswap-sqr_binary64_2433` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `distribute-lft-out_binary64_2416` `cbrt-unprod_binary64_2498`

Counts

4 → 102

Calls

8 calls:

12.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
0.0ms	(log.f64 (cbrt.f64 y))

series715.0ms (5.2%)

Counts

4 → 18

Calls

4 calls:

291.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
267.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
82.0ms	(cbrt.f64 y)
75.0ms	(cbrt.f64 y)

Compiler

Compiled 1092 to 1008 computations (7.7% saved)

simplify128.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4850	1320
1	4850	1320

prune169.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	120	6	126

Error

0.0b

Counts

126 → 6

Compiler

Compiled 4109 to 1842 computations (55.2% saved)

localize29.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c)))))
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))) (*.f64 y i))
0.0b	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
0.0b	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
0.3b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite36.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`log-prod_binary64_2551`
33×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415`
24×	`associate-+l+_binary64_2398` `add-sqr-sqrt_binary64_2487` `cbrt-prod_binary64_2496`
22×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
12×	`associate-+r+_binary64_2397`
8×	`associate-*l/_binary64_2408`
7×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`flip--_binary64_2440` `associate-r_binary64_2405` `flip3--_binary64_2469` `frac-add_binary64_2473`
3×	`associate-l_binary64_2406`
2×	`pow1/3_binary64_2547`
1×	`flip3-+_binary64_2468` `*-commutative_binary64_2396` `+-commutative_binary64_2395` `log-pow_binary64_2554` `sum-log_binary64_2556` `flip-+_binary64_2439` `unswap-sqr_binary64_2433` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `distribute-lft-out_binary64_2416` `cbrt-unprod_binary64_2498`

Counts

4 → 99

Calls

8 calls:

15.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
5.0ms	(*.f64 x (log.f64 y))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)
0.0ms	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)

series919.0ms (6.6%)

Counts

4 → 21

Calls

4 calls:

623.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
142.0ms	(*.f64 x (log.f64 y))
81.0ms	(cbrt.f64 c)
73.0ms	(cbrt.f64 c)

Compiler

Compiled 1273 to 1151 computations (9.6% saved)

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5910	1597

prune210.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	119	7	126

Error

0.0b

Counts

126 → 7

Compiler

Compiled 4378 to 1799 computations (58.9% saved)

localize35.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (+.f64 (.f64 (.f64 (-.f64 b 1/2) 2) (+.f64 (log.f64 (cbrt.f64 c)) (log.f64 (cbrt.f64 (cbrt.f64 c))))) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 c))) (-.f64 b 1/2))))
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (+.f64 (.f64 (.f64 (-.f64 b 1/2) 2) (+.f64 (log.f64 (cbrt.f64 c)) (log.f64 (cbrt.f64 (cbrt.f64 c))))) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 c))) (-.f64 b 1/2)))) (*.f64 y i))
0.0b	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
0.0b	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 (cbrt.f64 c))
0.6b	(cbrt.f64 (cbrt.f64 c))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_2496`
10×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `pow1/3_binary64_2547` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`

Counts

4 → 50

Calls

8 calls:

2.0ms	(cbrt.f64 (cbrt.f64 c))
2.0ms	(cbrt.f64 (cbrt.f64 c))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)
0.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (+.f64 (.f64 (.f64 (-.f64 b 1/2) 2) (+.f64 (log.f64 (cbrt.f64 c)) (log.f64 (cbrt.f64 (cbrt.f64 c))))) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 c))) (-.f64 b 1/2)))) (*.f64 y i))

series364.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt.f64 (cbrt.f64 c))
102.0ms	(cbrt.f64 (cbrt.f64 c))
79.0ms	(cbrt.f64 c)
74.0ms	(cbrt.f64 c)

Compiler

Compiled 972 to 852 computations (12.3% saved)

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4718	452
1	4718	452

prune86.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	62	7	69

Error

0.0b

Counts

69 → 7

Compiler

Compiled 2560 to 918 computations (64.1% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	459	1372
1	459	1372

regimes732.0ms (5.3%)

Compiler: Compiled 8846 to 8156 computations (7.8% saved)

bsearch0.0ms (0%)

regimes334.0ms (2.4%)

Compiler: Compiled 2716 to 3206 computations (-18% saved)

bsearch0.0ms (0%)

regimes273.0ms (2%)

Compiler: Compiled 973 to 1641 computations (-68.7% saved)

bsearch97.0ms (0.7%)

Steps

Iters	Range		Point
8	6.723821359330419e-65	1.7680618503209473e-62	1.5082297105666514e-62
5	-6.105998392739998e+38	-1.976293379600288e+38	-2.8878632339575142e+38

Compiler

Compiled 1 to 8 computations (-700% saved)

regimes176.0ms (1.3%)

Compiler: Compiled 526 to 1146 computations (-117.9% saved)

bsearch48.0ms (0.3%)

Steps

Iters	Range		Point
7	1.519215361780859e+191	3.667791346174681e+193	3.602273834251848e+193

Compiler

Compiled 1 to 8 computations (-700% saved)

regimes622.0ms (4.5%)

Compiler: Compiled 326 to 875 computations (-168.4% saved)

bsearch298.0ms (2.1%)

Steps

Iters	Range		Point
9	5.490739546583013e+105	2.3745470958364241e+111	8.734193249816575e+110
8	6.852014966515189e-125	9.75312277435321e-122	3.7550542520952592e-124
10	1.197454086914588e-156	2.9402598174352222e-139	1.0450086183394857e-153
6	2.69364675187161e-263	2.708496627505707e-262	8.271293034847638e-263
9	-2.8985712696517548e+153	-1.9940406732675494e+148	-9.839083460723915e+148

Compiler

Compiled 1 to 8 computations (-700% saved)

regimes393.0ms (2.8%)

Compiler: Compiled 160 to 584 computations (-265% saved)

bsearch306.0ms (2.2%)

Steps

Iters	Range		Point
10	5.456927873198403e+141	6.898921438690093e+155	4.736248621264831e+143
8	3.232275556780795e-199	1.5900334831571382e-196	5.8665729733122296e-198
9	2.7377919880349938e-292	4.0919253762140905e-286	4.121521196919986e-291
8	-1.5380841855626934e-65	-1.5315720093697721e-68	-4.412835249230618e-68
9	-2.5476106171998837e+168	-3.320408211468371e+162	-2.9790999939101416e+165

Compiler

Compiled 1 to 8 computations (-700% saved)

regimes264.0ms (1.9%)

Compiler: Compiled 120 to 504 computations (-320% saved)

bsearch126.0ms (0.9%)

Steps

Iters	Range		Point
9	5.085069831363779e+128	5.958571966034372e+134	1.4327759250740434e+133
9	-7.028706744640218e+53	-6.275451536944076e+48	-5.9626233229406005e+53

Compiler

Compiled 1 to 8 computations (-700% saved)

regimes90.0ms (0.6%)

Compiler: Compiled 80 to 424 computations (-430% saved)

bsearch0.0ms (0%)

regimes77.0ms (0.6%)

Accuracy

Total 0.1b remaining (87.8%)

Threshold costs 0.1b (87.8%)

Compiler

Compiled 40 to 344 computations (-760% saved)

bsearch11.0ms (0.1%)

Compiler: Compiled 277 to 195 computations (29.6% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	134	379
1	134	379

end0.0ms (0%)

sample3.4s (24.3%)

Algorithm

1×

intervals

Results

703.0ms	9662×	body	128	nan
690.0ms	7997×	body	128	valid
99.0ms	1177×	body	128	invalid
1.0ms	2×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 1159 to 1025 computations (11.6% saved)

Pareto

0.6123998738980123

Details

analyze1.3s (9.1%)

sample81.0ms (0.6%)

simplify147.0ms (1.1%)

prune3.0ms (0%)

localize23.0ms (0.2%)

rewrite43.0ms (0.3%)

series1.9s (13.4%)

simplify78.0ms (0.6%)

prune232.0ms (1.7%)

localize25.0ms (0.2%)

rewrite34.0ms (0.2%)

series715.0ms (5.2%)

simplify128.0ms (0.9%)

prune169.0ms (1.2%)

localize29.0ms (0.2%)

rewrite36.0ms (0.3%)

series919.0ms (6.6%)

simplify53.0ms (0.4%)

prune210.0ms (1.5%)

localize35.0ms (0.3%)

rewrite12.0ms (0.1%)

series364.0ms (2.6%)

simplify84.0ms (0.6%)

prune86.0ms (0.6%)

simplify23.0ms (0.2%)

regimes732.0ms (5.3%)

bsearch0.0ms (0%)

regimes334.0ms (2.4%)

bsearch0.0ms (0%)

regimes273.0ms (2%)

bsearch97.0ms (0.7%)

regimes176.0ms (1.3%)

bsearch48.0ms (0.3%)

regimes622.0ms (4.5%)

bsearch298.0ms (2.1%)

regimes393.0ms (2.8%)

bsearch306.0ms (2.2%)

regimes264.0ms (1.9%)

bsearch126.0ms (0.9%)

regimes90.0ms (0.6%)

bsearch0.0ms (0%)

regimes77.0ms (0.6%)

bsearch11.0ms (0.1%)

simplify7.0ms (0%)

end0.0ms (0%)

sample3.4s (24.3%)

Profiling