Details

analyze1.9s (18.3%)

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 34 to 27 computations (20.6% saved)

sample39.0ms (0.4%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
1.0ms	7×	body	128	invalid

Compiler

Compiled 67 to 61 computations (9% saved)

simplify302.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (208.0ms)

Iter	Nodes	Cost
0	4835	49
1	4835	49

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

32.8b

Counts

2 → 1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
32.0b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite78.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_1123`
18×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
12×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`pow1_binary64_1162`
9×	`times-frac_binary64_1107` `associate-r_binary64_1041` `associate-l_binary64_1042`
6×	`associate-*l/_binary64_1044`
5×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
4×	`add-log-exp_binary64_1140`
3×	`-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `associate-/l_binary64_1046` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `associate-/r*_binary64_1045`
2×	`associate-/l/_binary64_1048` `associate-/r/_binary64_1047`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`

Counts

4 → 91

Calls

4 calls:

27.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
16.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
14.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)

series595.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

414.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
72.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y)
57.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
52.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4958	3639
1	4958	3639

prune181.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	95	8	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	9	104

Error

31.8b

Counts

104 → 9

Compiler

Compiled 4915 to 1544 computations (68.6% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
0.1b	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184))
0.2b	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
32.3b	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))

rewrite104.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_1107`
64×	`add-sqr-sqrt_binary64_1123`
60×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
21×	`add-exp-log_binary64_1139`
18×	`associate-/r*_binary64_1045`
15×	`add-cbrt-cube_binary64_1137`
11×	`associate-/r/_binary64_1047`
9×	`pow1_binary64_1162`
8×	`flip3-+_binary64_1104` `div-exp_binary64_1152` `flip-+_binary64_1075`
6×	`div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-r_binary64_1041` `associate-l*_binary64_1042`
4×	`add-log-exp_binary64_1140` `associate-*r/_binary64_1043` `cbrt-undiv_binary64_1135`
2×	`*-commutative_binary64_1032` `1-exp_binary64_1145` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `frac-2neg_binary64_1112` `distribute-lft-in_binary64_1050` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `rec-exp_binary64_1151` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051`
1×	`inv-pow_binary64_1186` `pow-flip_binary64_1175`

Counts

4 → 159

Calls

4 calls:

29.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
28.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
13.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
11.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184))

series1.2s (10.8%)

Counts

4 → 12

Calls

4 calls:

618.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
443.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
56.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
35.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184))

simplify143.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5060	9908

prune282.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	172	8	180

Error

31.8b

Counts

180 → 8

Compiler

Compiled 9501 to 3050 computations (67.9% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
32.0b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
9×	`times-frac_binary64_1107` `cbrt-prod_binary64_1132`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
4×	`add-log-exp_binary64_1140` `pow1_binary64_1162`
3×	`pow1/3_binary64_1183` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`flip3-+_binary64_1104` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `flip-+_binary64_1075`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`

Counts

4 → 64

Calls

4 calls:

36.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series726.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

491.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
80.0ms	(cbrt.f64 y)
79.0ms	(cbrt.f64 y)
76.0ms	(cbrt.f64 y)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5841	2406

prune111.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	76	8	84

Error

31.8b

Counts

84 → 8

Compiler

Compiled 3925 to 1182 computations (69.9% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
0.1b	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y x) z)) 471841060772561/17179869184))
0.2b	(/.f64 1 (.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y x) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))))
32.3b	(.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y x) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))

rewrite107.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-exp-log_binary64_1139`
29×	`add-sqr-sqrt_binary64_1123`
22×	`add-cbrt-cube_binary64_1137`
21×	`associate-r_binary64_1041`
19×	`*-un-lft-identity_binary64_1101`
18×	`prod-exp_binary64_1150` `add-cube-cbrt_binary64_1136` `div-exp_binary64_1152`
14×	`times-frac_binary64_1107`
13×	`pow1_binary64_1162`
9×	`1-exp_binary64_1145` `rec-exp_binary64_1151` `associate-l_binary64_1042`
8×	`associate-/r/_binary64_1047`
7×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
6×	`cbrt-unprod_binary64_1134` `associate-*r/_binary64_1043`
5×	`cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069`
4×	`frac-times_binary64_1111` `add-log-exp_binary64_1140` `pow-prod-down_binary64_1172` `associate-*l/_binary64_1044`
3×	`-commutative_binary64_1032` `associate-/l_binary64_1046`
2×	`distribute-lft-in_binary64_1050` `div-inv_binary64_1098` `distribute-rgt-in_binary64_1051` `pow-flip_binary64_1175` `un-div-inv_binary64_1099`
1×	`inv-pow_binary64_1186` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r*_binary64_1045`

Counts

4 → 130

Calls

4 calls:

32.0ms	(.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y x) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
31.0ms	(/.f64 1 (.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y x) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))))
12.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
11.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y x) z)) 471841060772561/17179869184))

series1.1s (10.7%)

Counts

4 → 12

Calls

4 calls:

607.0ms	(.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y x) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
434.0ms	(/.f64 1 (.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y x) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))))
57.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
36.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y x) z)) 471841060772561/17179869184))

simplify116.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4993	5478
1	4993	5478

prune196.0ms (1.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	142	8	150

Error

31.8b

Counts

150 → 8

Compiler

Compiled 6382 to 2062 computations (67.7% saved)

regimes1.1s (10%)

Accuracy

Total 1.1b remaining (3.6%)

Threshold costs 0b (0%)

Compiler

Compiled 15958 to 10188 computations (36.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	49
1	42	49

end0.0ms (0%)

sample2.0s (19.2%)

Algorithm

1×

intervals

Results

692.0ms	8000×	body	128	valid
20.0ms	245×	body	128	invalid

Compiler

Compiled 1831 to 1173 computations (35.9% saved)

Details

analyze1.9s (18.3%)

sample39.0ms (0.4%)

simplify302.0ms (2.8%)

prune3.0ms (0%)

localize21.0ms (0.2%)

rewrite78.0ms (0.7%)

series595.0ms (5.6%)

simplify87.0ms (0.8%)

prune181.0ms (1.7%)

localize25.0ms (0.2%)

rewrite104.0ms (1%)

series1.2s (10.8%)

simplify143.0ms (1.3%)

prune282.0ms (2.6%)

localize27.0ms (0.3%)

rewrite48.0ms (0.5%)

series726.0ms (6.8%)

simplify79.0ms (0.7%)

prune111.0ms (1%)

localize29.0ms (0.3%)

rewrite107.0ms (1%)

series1.1s (10.7%)

simplify116.0ms (1.1%)

prune196.0ms (1.8%)

regimes1.1s (10%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (19.2%)

Profiling