Details

analyze1.4s (27.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

sample28.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

valid

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5284	21

prune13.0ms (0.2%)

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: 27.2b

Counts

2 → 1

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 t y) a)
1.8b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
1.9b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
25.5b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite45.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`
13×	`distribute-lft-out_binary64`
11×	`add-log-exp_binary64`
10×	`associate-*l/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`pow1_binary64`
5×	`associate-/r*_binary64`
4×	`frac-add_binary64` `associate-l_binary64`
3×	`associate-r_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `diff-log_binary64` `associate-/r/_binary64` `flip--_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

16.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
12.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
6.0ms	(*.f64 (+.f64 t y) a)

series272.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

198.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
44.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
22.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
8.0ms	(*.f64 (+.f64 t y) a)

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5333	2056

prune169.0ms (3.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	90	11	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	11	102

Merged error: 7.9b

Counts

102 → 11

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 y t) a)
1.8b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
7.2b	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
24.1b	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64` `times-frac_binary64`
19×	`distribute-lft-out_binary64`
18×	`add-cube-cbrt_binary64` `associate-*l/_binary64`
13×	`flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
10×	`associate-/r*_binary64`
8×	`frac-add_binary64`
6×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64`
4×	`associate-/r/_binary64` `associate-l_binary64` `associate-/l*_binary64`
3×	`associate-r_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

15.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))
9.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
8.0ms	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
6.0ms	(*.f64 (+.f64 y t) a)

series137.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))
23.0ms	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
22.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
7.0ms	(*.f64 (+.f64 y t) a)

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5063	1882

prune164.0ms (3.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	117	12	129

Merged error: 6.2b

Counts

129 → 12

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (+.f64 y t)))
1.8b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
4.8b	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 x (+.f64 y t))) (cbrt.f64 (+.f64 x (+.f64 y t))))) (/.f64 b (cbrt.f64 (+.f64 x (+.f64 y t)))))
24.1b	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

rewrite70.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`*-un-lft-identity_binary64`
49×	`times-frac_binary64`
48×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64`
30×	`associate-r_binary64`
27×	`add-exp-log_binary64`
24×	`distribute-lft-out_binary64`
22×	`cbrt-prod_binary64`
20×	`add-cbrt-cube_binary64`
19×	`flip3-+_binary64` `flip-+_binary64` `associate-*l/_binary64`
16×	`cbrt-div_binary64`
15×	`associate-l_binary64`
12×	`associate-/r/_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-add_binary64` `prod-exp_binary64` `div-exp_binary64`
6×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `unswap-sqr_binary64`
5×	`associate-/r*_binary64` `frac-times_binary64`
3×	`associate-r/_binary64` `associate-/l_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `pow1/3_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 148

Calls

4 calls:

32.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 x (+.f64 y t))) (cbrt.f64 (+.f64 x (+.f64 y t))))) (/.f64 b (cbrt.f64 (+.f64 x (+.f64 y t)))))
14.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 y t)))

series205.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))
50.0ms	(cbrt.f64 (+.f64 x (+.f64 y t)))
49.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 x (+.f64 y t))) (cbrt.f64 (+.f64 x (+.f64 y t))))) (/.f64 b (cbrt.f64 (+.f64 x (+.f64 y t)))))
23.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5021	3239

prune206.0ms (4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	159	13	172

Merged error: 4.2b

Counts

172 → 13

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x (+.f64 y t)))
1.8b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
1.9b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
25.5b	(.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (.f64 y b)) (/.f64 1 (+.f64 x (+.f64 y t))))

rewrite52.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
31×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
21×	`distribute-lft-out_binary64` `associate-r_binary64`
17×	`add-exp-log_binary64`
11×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
10×	`associate-*l/_binary64`
7×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
5×	`associate-/r*_binary64`
4×	`frac-add_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `unswap-sqr_binary64` `associate-/l*_binary64` `flip--_binary64`
2×	`diff-log_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `frac-times_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `+-commutative_binary64` `pow-flip_binary64` `associate--l+_binary64` `-commutative_binary64`

Counts

4 → 117

Calls

4 calls:

21.0ms	(.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (.f64 y b)) (/.f64 1 (+.f64 x (+.f64 y t))))
11.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
9.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
7.0ms	(/.f64 1 (+.f64 x (+.f64 y t)))

series267.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

192.0ms	(.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (.f64 y b)) (/.f64 1 (+.f64 x (+.f64 y t))))
40.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
22.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
13.0ms	(/.f64 1 (+.f64 x (+.f64 y t)))

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4980	2274
1	4980	2274

prune122.0ms (2.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	129	13	142

Merged error: 4.2b

Counts

142 → 13

regimes855.0ms (16.4%)

Accuracy

Total 18.9b remaining (85.5%)

Threshold costs 0b (0%)

bsearch91.0ms (1.8%)

Steps

Iters	Range		Point
10	1.3773472467962003e+50	8.909620923535653e+64	1.826313548779271e+62
9	2.3341006733336798e-222	1.715095260006011e-217	1.0121751081902255e-217
8	-1.0552075425907483e-150	-5.9411797363523896e-154	-1.5917280185250292e-152
10	-6.154848968485751e+74	-2.2848299666872965e+61	-6.056383831737611e+74

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	99	140
1	99	140

end0.0ms (0%)

sample706.0ms (13.6%)

Algorithm

1×

intervals

Results

446.0ms	7993×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze1.4s (27.6%)

sample28.0ms (0.5%)

simplify68.0ms (1.3%)

prune13.0ms (0.2%)

localize15.0ms (0.3%)

rewrite45.0ms (0.9%)

series272.0ms (5.2%)

simplify48.0ms (0.9%)

prune169.0ms (3.3%)

localize17.0ms (0.3%)

rewrite41.0ms (0.8%)

series137.0ms (2.6%)

simplify34.0ms (0.7%)

prune164.0ms (3.2%)

localize20.0ms (0.4%)

rewrite70.0ms (1.4%)

series205.0ms (3.9%)

simplify57.0ms (1.1%)

prune206.0ms (4%)

localize15.0ms (0.3%)

rewrite52.0ms (1%)

series267.0ms (5.1%)

simplify47.0ms (0.9%)

prune122.0ms (2.3%)

regimes855.0ms (16.4%)

bsearch91.0ms (1.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample706.0ms (13.6%)

Profiling