Details

analyze1.9s (12.1%)

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%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample57.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
14.0ms	248×	body	128	invalid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify578.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (474.0ms)

Iter	Nodes	Cost
0	3126	28
1	3126	28

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

7.9b

Counts

2 → 1

Compiler

Compiled 38 to 36 computations (5.3% saved)

localize15.0ms (0.1%)

Local error

Found 6 expressions with local error:

10.5b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
10.5b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`associate-*l/_binary64_19799`
10×	`pow1_binary64_19917` `add-cbrt-cube_binary64_19892` `add-exp-log_binary64_19894`
8×	`add-sqr-sqrt_binary64_19878` `add-log-exp_binary64_19895`
6×	`flip-+_binary64_19830` `add-cube-cbrt_binary64_19891` `flip3-+_binary64_19859` `associate-r_binary64_19796` `*-un-lft-identity_binary64_19856`
4×	`prod-exp_binary64_19905` `frac-sub_binary64_19865` `pow-prod-down_binary64_19927` `cbrt-unprod_binary64_19889` `associate-l_binary64_19797`
2×	`*-commutative_binary64_19787` `diff-log_binary64_19948`
1×	`flip3--_binary64_19860` `associate--l+_binary64_19793` `unswap-sqr_binary64_19824` `sub-neg_binary64_19849` `cancel-sign-sub-inv_binary64_19822` `flip--_binary64_19831` `sum-log_binary64_19947`

Counts

3 → 58

Calls

6 calls:

9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
8.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
6.0ms	(.f64 (+.f64 a (.f64 b c)) c)
0.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
0.0ms	(.f64 (+.f64 a (.f64 b c)) c)

series1.2s (7.7%)

Counts

3 → 90

Calls

3 calls:

836.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
234.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
133.0ms	(.f64 (+.f64 a (.f64 b c)) c)

Compiler

Compiled 2609 to 2570 computations (1.5% saved)

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4987	2773
1	4987	2773

prune163.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	143	5	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	143	6	149

Error

0.7b

Counts

149 → 6

Compiler

Compiled 3280 to 676 computations (79.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.5b	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
4.5b	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

rewrite20.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_19917` `add-cbrt-cube_binary64_19892` `add-log-exp_binary64_19895` `add-exp-log_binary64_19894`
6×	`associate-*l/_binary64_19799`
5×	`flip-+_binary64_19830` `flip3-+_binary64_19859`
4×	`frac-sub_binary64_19865`
3×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `prod-exp_binary64_19905` `-un-lft-identity_binary64_19856` `pow-prod-down_binary64_19927` `cbrt-unprod_binary64_19889` `associate-l*_binary64_19797`
2×	`diff-log_binary64_19948`
1×	`flip3--_binary64_19860` `associate--l+_binary64_19793` `-commutative_binary64_19787` `sub-neg_binary64_19849` `cancel-sign-sub-inv_binary64_19822` `associate-r*_binary64_19796` `flip--_binary64_19831` `sum-log_binary64_19947`

Counts

2 → 38

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
7.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))
0.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
0.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

series1.1s (7%)

Counts

2 → 72

Calls

2 calls:

864.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
231.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

Compiler

Compiled 2086 to 2056 computations (1.4% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	6027	2369

prune96.0ms (0.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	108	8	116

Error

0.7b

Counts

116 → 8

Compiler

Compiled 2531 to 533 computations (78.9% saved)

localize19.0ms (0.1%)

Local error

Found 8 expressions with local error:

1.3b	(cbrt.f64 (+.f64 a (*.f64 b c)))
1.1b	(.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c))))
0.5b	(.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (*.f64 b c))))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c))))))
1.3b	(cbrt.f64 (+.f64 a (*.f64 b c)))
1.3b	(cbrt.f64 (+.f64 a (*.f64 b c)))
1.3b	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0b	(.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c)))))

rewrite42.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_19888`
30×	`flip-+_binary64_19830` `flip3-+_binary64_19859`
28×	`frac-times_binary64_19866`
26×	`associate-*r/_binary64_19798`
25×	`pow1_binary64_19917` `add-exp-log_binary64_19894`
15×	`prod-exp_binary64_19905` `add-cbrt-cube_binary64_19892` `pow-prod-down_binary64_19927` `cbrt-unprod_binary64_19889`
14×	`associate-*l/_binary64_19799`
9×	`cbrt-prod_binary64_19887`
7×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856`
4×	`add-log-exp_binary64_19895`
3×	`pow1/3_binary64_19938`
1×	`-commutative_binary64_19787` `associate-r_binary64_19796` `associate-l*_binary64_19797`

Counts

4 → 93

Calls

8 calls:

19.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c)))))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
2.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
0.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c))))))

series845.0ms (5.4%)

Counts

4 → 72

Calls

4 calls:

252.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c)))))
205.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
195.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
192.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))

Compiler

Compiled 4820 to 3713 computations (23% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5461	4017

prune193.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	165	8	173

Error

0.7b

Counts

173 → 8

Compiler

Compiled 6505 to 1299 computations (80% saved)

localize19.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.5b	(*.f64 (cbrt.f64 c) (cbrt.f64 c))
0.3b	(.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 c) (cbrt.f64 c)))
0.2b	(.f64 (.f64 (+.f64 a (.f64 b c)) (.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c)) i))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)
10.5b	(.f64 (.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c)) i)

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64_19917` `add-exp-log_binary64_19894`
13×	`add-cbrt-cube_binary64_19892`
10×	`prod-exp_binary64_19905` `pow-prod-down_binary64_19927` `cbrt-unprod_binary64_19889`
9×	`cbrt-prod_binary64_19887`
8×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856`
6×	`associate-*l/_binary64_19799`
4×	`add-log-exp_binary64_19895`
3×	`associate-r_binary64_19796` `pow1/3_binary64_19938`
1×	`-commutative_binary64_19787` `flip-+_binary64_19830` `flip3-+_binary64_19859` `associate-l*_binary64_19797`

Counts

4 → 59

Calls

8 calls:

15.0ms	(.f64 (.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c)) i)
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)
0.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c)) i))

series505.0ms (3.3%)

Counts

4 → 30

Calls

4 calls:

282.0ms	(.f64 (.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c)) i)
76.0ms	(cbrt.f64 c)
74.0ms	(cbrt.f64 c)
74.0ms	(cbrt.f64 c)

Compiler

Compiled 1222 to 1117 computations (8.6% saved)

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4941	868
1	4941	868

prune76.0ms (0.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	89	8	97

Error

0.7b

Counts

97 → 8

Compiler

Compiled 2229 to 497 computations (77.7% saved)

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	2371	881
1	2371	881

regimes574.0ms (3.7%)

Compiler: Compiled 6554 to 5686 computations (13.2% saved)

bsearch0.0ms (0%)

regimes492.0ms (3.2%)

Compiler: Compiled 1758 to 2540 computations (-44.5% saved)

bsearch90.0ms (0.6%)

Steps

Iters	Range		Point
8	4.7458072085750155e+73	2.092509348355622e+78	1.362006270738487e+77
8	-3.2753158233835275e+84	-1.2913455583428645e+80	-1.4440070586394473e+82

Compiler

Compiled 1 to 8 computations (-700% saved)

regimes512.0ms (3.3%)

Compiler: Compiled 1660 to 2506 computations (-51% saved)

bsearch75.0ms (0.5%)

Steps

Iters	Range		Point
8	1.432370767420556e-112	2.4804755110326947e-109	5.682672477284548e-111
8	-4.91850081504453e-103	-6.817586497353687e-107	-1.404325109175153e-104

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes548.0ms (3.5%)

Compiler: Compiled 1276 to 2110 computations (-65.4% saved)

bsearch60.0ms (0.4%)

Steps

Iters	Range		Point
5	4.3678496850984354e-14	1.4780007535088294e-13	1.321391563360253e-13
7	-117513911075.94073	-3919330187.8437037	-18826200670.13257

Compiler

Compiled 1 to 8 computations (-700% saved)

regimes423.0ms (2.7%)

Compiler: Compiled 1111 to 1934 computations (-74.1% saved)

bsearch62.0ms (0.4%)

Steps

Iters	Range		Point
6	7.598132685121499e+118	9.532381834437771e+119	9.165609646455902e+118
3	-1.2913455583428645e+80	-1.0097795133020005e+80	-1.2627519629973034e+80

Compiler

Compiled 1 to 8 computations (-700% saved)

regimes521.0ms (3.4%)

Compiler: Compiled 931 to 1742 computations (-87.1% saved)

bsearch73.0ms (0.5%)

Steps

Iters	Range		Point
9	1.2051145178934173e-18	2.0742914439130412e-10	2.5255928342778342e-12
8	-4.91850081504453e-103	-6.817586497353687e-107	-1.5289489626241633e-103

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes435.0ms (2.8%)

Compiler: Compiled 702 to 1451 computations (-106.7% saved)

bsearch56.0ms (0.4%)

Steps

Iters	Range		Point
9	1.4780007535088294e-13	7.216404646301744e-07	2.083022499510345e-09
3	-1.2913455583428645e+80	-1.0097795133020005e+80	-1.1384506923570265e+80

Compiler

Compiled 1 to 8 computations (-700% saved)

regimes346.0ms (2.2%)

Compiler: Compiled 581 to 1297 computations (-123.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 11 computations (-57.1% saved)

regimes283.0ms (1.8%)

Compiler: Compiled 460 to 1143 computations (-148.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 11 computations (-57.1% saved)

regimes221.0ms (1.4%)

Compiler: Compiled 361 to 1000 computations (-177% saved)

bsearch81.0ms (0.5%)

Steps

Iters	Range		Point
5	1.0275892479247634e+162	3.425236817310449e+162	2.6823562299796203e+162
7	-2.49273466041351e+220	-5.670868374519803e+218	-1.187469692550406e+220

Compiler

Compiled 1 to 8 computations (-700% saved)

regimes498.0ms (3.2%)

Compiler: Compiled 228 to 774 computations (-239.5% saved)

bsearch126.0ms (0.8%)

Steps

Iters	Range		Point
8	8.08023501633163e+89	4.087455846605901e+94	1.2439936353141164e+91
7	0.0001005216698670702	0.012942520361698443	0.003344819045572408
7	1.0500348828210055e-77	2.2562577860555847e-75	2.0650522016065681e-75
7	-1.235756192326266e-07	-7.088469132911592e-09	-4.478062946668265e-08

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes103.0ms (0.7%)

Compiler: Compiled 94 to 488 computations (-419.1% saved)

bsearch0.0ms (0%)

regimes77.0ms (0.5%)

Compiler: Compiled 40 to 344 computations (-760% saved)

bsearch0.0ms (0%)

regimes71.0ms (0.5%)

Accuracy

Total 0.9b remaining (53.2%)

Threshold costs 0.9b (53.2%)

Compiler

Compiled 32 to 272 computations (-750% saved)

bsearch18.0ms (0.1%)

Compiler: Compiled 515 to 341 computations (33.8% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	310	619
1	310	619

end0.0ms (0%)

sample2.5s (16.1%)

Algorithm

1×

intervals

Results

486.0ms	8000×	body	128	valid
415.0ms	6930×	body	128	invalid

Compiler

Compiled 1049 to 874 computations (16.7% saved)

Pareto

0.23370252573489406

Details

analyze1.9s (12.1%)

sample57.0ms (0.4%)

simplify578.0ms (3.7%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite29.0ms (0.2%)

series1.2s (7.7%)

simplify90.0ms (0.6%)

prune163.0ms (1%)

localize14.0ms (0.1%)

rewrite20.0ms (0.1%)

series1.1s (7%)

simplify50.0ms (0.3%)

prune96.0ms (0.6%)

localize19.0ms (0.1%)

rewrite42.0ms (0.3%)

series845.0ms (5.4%)

simplify80.0ms (0.5%)

prune193.0ms (1.2%)

localize19.0ms (0.1%)

rewrite25.0ms (0.2%)

series505.0ms (3.3%)

simplify95.0ms (0.6%)

prune76.0ms (0.5%)

simplify101.0ms (0.6%)

regimes574.0ms (3.7%)

bsearch0.0ms (0%)

regimes492.0ms (3.2%)

bsearch90.0ms (0.6%)

regimes512.0ms (3.3%)

bsearch75.0ms (0.5%)

regimes548.0ms (3.5%)

bsearch60.0ms (0.4%)

regimes423.0ms (2.7%)

bsearch62.0ms (0.4%)

regimes521.0ms (3.4%)

bsearch73.0ms (0.5%)

regimes435.0ms (2.8%)

bsearch56.0ms (0.4%)

regimes346.0ms (2.2%)

bsearch1.0ms (0%)

regimes283.0ms (1.8%)

bsearch1.0ms (0%)

regimes221.0ms (1.4%)

bsearch81.0ms (0.5%)

regimes498.0ms (3.2%)

bsearch126.0ms (0.8%)

regimes103.0ms (0.7%)

bsearch0.0ms (0%)

regimes77.0ms (0.5%)

bsearch0.0ms (0%)

regimes71.0ms (0.5%)

bsearch18.0ms (0.1%)

simplify13.0ms (0.1%)

end0.0ms (0%)

sample2.5s (16.1%)

Profiling