Details

analyze953.0ms (12.2%)

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
0%	99.8%	0.2%	9
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	218×	body	128	valid
2.0ms	11×	body	1024	valid
2.0ms	14×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	23×	body	128	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify340.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (170.0ms)

Iter	Nodes	Cost
0	4813	19
1	4813	19

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

Merged error: 16.7b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 z t) y)
2.2b	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
11.3b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_17264`
17×	`add-sqr-sqrt_binary64_17285`
10×	`add-cbrt-cube_binary64_17297` `add-exp-log_binary64_17299`
8×	`add-log-exp_binary64_17300`
7×	`add-cube-cbrt_binary64_17296`
5×	`associate-l_binary64_17207` `distribute-lft-out--_binary64_17218` `pow1_binary64_17322` `times-frac_binary64_17270` `associate-/r*_binary64_17210`
4×	`associate-*l/_binary64_17209` `difference-of-squares_binary64_17233` `flip--_binary64_17239` `flip3--_binary64_17268`
3×	`associate-r_binary64_17206`
2×	`frac-sub_binary64_17273` `prod-exp_binary64_17310` `cbrt-undiv_binary64_17295` `cbrt-unprod_binary64_17294` `associate-/r/_binary64_17212` `div-exp_binary64_17312` `associate-/l/_binary64_17213` `diff-log_binary64_17353`
1×	`pow-prod-down_binary64_17332` `associate-/l_binary64_17211` `clear-num_binary64_17263` `distribute-lft-out_binary64_17217` `sum-log_binary64_17352` `sub-neg_binary64_17257` `-commutative_binary64_17197` `flip-+_binary64_17238` `frac-2neg_binary64_17275` `div-inv_binary64_17261` `unswap-sqr_binary64_17232` `flip3-+_binary64_17267` `associate--l+_binary64_17203`

Counts

3 → 69

Calls

3 calls:

13.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
11.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
8.0ms	(*.f64 (-.f64 z t) y)

series556.0ms (7.1%)

Counts

3 → 9

Calls

3 calls:

348.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
153.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
54.0ms	(*.f64 (-.f64 z t) y)

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4968	1273
1	4968	1273

prune88.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	69	9	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	9	79

Merged error: 3.6b

Counts

79 → 9

Compiler

Compiled 1630 to 421 computations (74.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a t))
0.5b	(*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))
3.3b	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
7.0b	(-.f64 (+.f64 x y) (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))

rewrite87.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`add-sqr-sqrt_binary64_17285`
54×	`*-un-lft-identity_binary64_17264`
50×	`cbrt-prod_binary64_17292`
38×	`associate-r_binary64_17206`
36×	`times-frac_binary64_17270`
30×	`add-cube-cbrt_binary64_17296`
28×	`cbrt-div_binary64_17293`
27×	`add-exp-log_binary64_17299`
25×	`associate-l_binary64_17207`
18×	`add-cbrt-cube_binary64_17297`
15×	`flip--_binary64_17239` `flip3--_binary64_17268`
13×	`pow1_binary64_17322`
11×	`frac-times_binary64_17274` `distribute-lft-out--_binary64_17218`
10×	`swap-sqr_binary64_17231` `associate-/r/_binary64_17212` `unswap-sqr_binary64_17232`
9×	`prod-exp_binary64_17310` `cbrt-unprod_binary64_17294` `add-log-exp_binary64_17300` `difference-of-squares_binary64_17233`
7×	`pow1/3_binary64_17343` `associate-l/_binary64_17209` `cbrt-undiv_binary64_17295` `div-exp_binary64_17312` `associate-r/_binary64_17208`
6×	`frac-sub_binary64_17273`
3×	`pow-prod-down_binary64_17332` `flip-+_binary64_17238` `flip3-+_binary64_17267`
2×	`pow-sqr_binary64_17237` `pow-prod-up_binary64_17331` `*-commutative_binary64_17197` `div-inv_binary64_17261` `diff-log_binary64_17353`
1×	`sum-log_binary64_17352` `sub-neg_binary64_17257` `pow2_binary64_17342` `pow-plus_binary64_17324` `associate--l+_binary64_17203`

Counts

4 → 167

Calls

4 calls:

36.0ms	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
13.0ms	(*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))
11.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))
4.0ms	(cbrt.f64 (-.f64 a t))

series1.1s (13.7%)

Counts

4 → 12

Calls

4 calls:

384.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))
255.0ms	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
232.0ms	(*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))
206.0ms	(cbrt.f64 (-.f64 a t))

simplify104.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4935	4140
1	4935	4140

prune197.0ms (2.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	174	5	179
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	175	13	188

Merged error: 3.6b

Counts

188 → 13

Compiler

Compiled 5487 to 1328 computations (75.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
2.3b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
3.4b	(-.f64 (+.f64 x y) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))))

rewrite83.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`add-exp-log_binary64_17299`
35×	`add-cbrt-cube_binary64_17297`
32×	`prod-exp_binary64_17310` `cbrt-unprod_binary64_17294`
22×	`cbrt-undiv_binary64_17295` `div-exp_binary64_17312`
15×	`frac-times_binary64_17274` `add-sqr-sqrt_binary64_17285` `-un-lft-identity_binary64_17264` `cbrt-prod_binary64_17292` `associate-r/_binary64_17208`
14×	`frac-sub_binary64_17273` `associate-l_binary64_17207`
9×	`associate-*l/_binary64_17209` `add-log-exp_binary64_17300` `pow1_binary64_17322` `add-cube-cbrt_binary64_17296`
8×	`times-frac_binary64_17270`
7×	`flip-+_binary64_17238` `flip3-+_binary64_17267`
6×	`cbrt-div_binary64_17293`
4×	`flip--_binary64_17239` `flip3--_binary64_17268`
3×	`pow-prod-down_binary64_17332` `difference-of-squares_binary64_17233` `distribute-lft-out--_binary64_17218`
2×	`pow1/3_binary64_17343` `associate-/r/_binary64_17212` `diff-log_binary64_17353`
1×	`sum-log_binary64_17352` `sub-neg_binary64_17257` `-commutative_binary64_17197` `div-inv_binary64_17261` `associate--l+_binary64_17203` `associate-r*_binary64_17206`

Counts

4 → 119

Calls

4 calls:

41.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
14.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))))
4.0ms	(cbrt.f64 (-.f64 z t))
4.0ms	(cbrt.f64 (-.f64 z t))

series1.1s (13.6%)

Counts

4 → 12

Calls

4 calls:

377.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))))
269.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
212.0ms	(cbrt.f64 (-.f64 z t))
209.0ms	(cbrt.f64 (-.f64 z t))

simplify107.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4956	4222
1	4956	4222

prune150.0ms (1.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	3	8	11
Picked	0	1	1
Done	0	1	1
Total	132	12	144

Merged error: 3.6b

Counts

144 → 12

Compiler

Compiled 4929 to 789 computations (84% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))
0.6b	(cbrt.f64 (cbrt.f64 (-.f64 z t)))
2.3b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (cbrt.f64 (-.f64 z t))))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
4.6b	(-.f64 (+.f64 x y) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (cbrt.f64 (-.f64 z t))))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))))

rewrite105.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

106×	`add-exp-log_binary64_17299`
51×	`prod-exp_binary64_17310` `cbrt-unprod_binary64_17294`
47×	`add-cbrt-cube_binary64_17297`
31×	`cbrt-undiv_binary64_17295` `div-exp_binary64_17312`
26×	`cbrt-div_binary64_17293`
19×	`frac-times_binary64_17274` `cbrt-prod_binary64_17292`
17×	`associate-*r/_binary64_17208`
14×	`frac-sub_binary64_17273` `associate-l_binary64_17207`
13×	`add-sqr-sqrt_binary64_17285` `*-un-lft-identity_binary64_17264`
11×	`associate-*l/_binary64_17209`
9×	`add-log-exp_binary64_17300` `flip--_binary64_17239` `pow1_binary64_17322` `flip3--_binary64_17268` `add-cube-cbrt_binary64_17296`
8×	`times-frac_binary64_17270`
7×	`flip-+_binary64_17238` `flip3-+_binary64_17267`
3×	`pow-prod-down_binary64_17332`
2×	`pow1/3_binary64_17343` `difference-of-squares_binary64_17233` `associate-/r/_binary64_17212` `distribute-lft-out--_binary64_17218` `diff-log_binary64_17353`
1×	`sum-log_binary64_17352` `sub-neg_binary64_17257` `-commutative_binary64_17197` `div-inv_binary64_17261` `associate--l+_binary64_17203` `associate-r*_binary64_17206`

Counts

4 → 134

Calls

4 calls:

44.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (cbrt.f64 (-.f64 z t))))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
11.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (cbrt.f64 (-.f64 z t))))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))))
11.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))
5.0ms	(cbrt.f64 (cbrt.f64 (-.f64 z t)))

series1.1s (14.1%)

Counts

4 → 12

Calls

4 calls:

380.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (cbrt.f64 (-.f64 z t))))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))))
269.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (cbrt.f64 (-.f64 z t))))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
234.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))
218.0ms	(cbrt.f64 (cbrt.f64 (-.f64 z t)))

simplify124.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4917	4871
1	4917	4871

prune165.0ms (2.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	145	13	158

Merged error: 3.6b

Counts

158 → 13

Compiler

Compiled 5762 to 898 computations (84.4% saved)

regimes239.0ms (3.1%)

Compiler: Compiled 2100 to 1110 computations (47.1% saved)

bsearch40.0ms (0.5%)

Steps

Iters	Range		Point
7	4.583820821230251e-155	8.903753509325656e-153	1.653340532151489e-154
5	-6.899409270991743e-162	-2.194830616709604e-162	-2.3312256511707003e-162

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	170	61
1	170	61

end0.0ms (0%)

sample1.1s (13.6%)

Algorithm

1×

intervals

Results

294.0ms	6774×	body	128	valid
56.0ms	381×	body	1024	valid
52.0ms	437×	body	512	valid
29.0ms	719×	body	128	invalid
26.0ms	339×	body	256	valid
13.0ms	69×	body	2048	valid

Compiler

Compiled 547 to 286 computations (47.7% saved)

Details

analyze953.0ms (12.2%)

sample27.0ms (0.3%)

simplify340.0ms (4.3%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite37.0ms (0.5%)

series556.0ms (7.1%)

simplify41.0ms (0.5%)

prune88.0ms (1.1%)

localize13.0ms (0.2%)

rewrite87.0ms (1.1%)

series1.1s (13.7%)

simplify104.0ms (1.3%)

prune197.0ms (2.5%)

localize17.0ms (0.2%)

rewrite83.0ms (1.1%)

series1.1s (13.6%)

simplify107.0ms (1.4%)

prune150.0ms (1.9%)

localize27.0ms (0.3%)

rewrite105.0ms (1.3%)

series1.1s (14.1%)

simplify124.0ms (1.6%)

prune165.0ms (2.1%)

regimes239.0ms (3.1%)

bsearch40.0ms (0.5%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.1s (13.6%)

Profiling