Details

analyze1.4s (7.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5273	209
0	5	5
1	5	5

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
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
14.9%	84.9%	0.2%	13
16.2%	83.5%	0.3%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample42.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	208×	body	128	valid
3.0ms	18×	body	512	valid
3.0ms	14×	body	1024	valid
2.0ms	37×	body	128	invalid
2.0ms	12×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4915	19
1	4915	19

prune2.0ms (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

24.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) (-.f64 z t))
2.7b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
17.5b	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))

rewrite154.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

12.3b

Rules

19×	`add-sqr-sqrt_binary64_15786` `*-un-lft-identity_binary64_15764`
13×	`flip3--_binary64_15768` `flip--_binary64_15739`
10×	`add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800`
9×	`add-cube-cbrt_binary64_15799`
8×	`frac-times_binary64_15774` `associate-/l/_binary64_15711`
6×	`cancel-sign-sub-inv_binary64_15730`
5×	`pow1_binary64_15825` `add-log-exp_binary64_15803` `times-frac_binary64_15770` `associate-/r_binary64_15708` `associate-l_binary64_15705` `associate-r*_binary64_15704`
4×	`difference-of-squares_binary64_15733` `distribute-lft-out--_binary64_15716` `associate-l/_binary64_15707` `associate-r/_binary64_15706` `distribute-rgt-in_binary64_15714` `distribute-lft-in_binary64_15713`
2×	`prod-exp_binary64_15813` `div-exp_binary64_15815` `cbrt-undiv_binary64_15798` `cbrt-unprod_binary64_15797` `associate-/r/_binary64_15710` `sub-neg_binary64_15757`
1×	`frac-2neg_binary64_15775` `clear-num_binary64_15763` `div-inv_binary64_15761` `associate-/l_binary64_15709` `sum-log_binary64_15855` `flip3-+_binary64_15767` `flip-+_binary64_15738` `distribute-lft-out_binary64_15715` `+-commutative_binary64_15694` `pow-prod-down_binary64_15835` `unswap-sqr_binary64_15732` `-commutative_binary64_15695`

Counts

3 → 85

Calls

3 calls:

13.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
10.0ms	(*.f64 (-.f64 y x) (-.f64 z t))
8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))

Compiler

Compiled 1987 to 456 computations (77.1% saved)

series2.1s (11.8%)

Error

2.2b

Counts

3 → 99

Calls

3 calls:

1.1s	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
663.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
197.0ms	(*.f64 (-.f64 y x) (-.f64 z t))

Compiler

Compiled 7935 to 3962 computations (50.1% saved)

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5263	5743

prune226.0ms (1.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	170	14	184
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	171	14	185

Error

2.0b

Counts

185 → 14

Compiler

Compiled 5165 to 994 computations (80.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
1.7b	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))
2.7b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))

rewrite394.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

330×	`times-frac_binary64_15770`
323×	`*-un-lft-identity_binary64_15764`
321×	`add-sqr-sqrt_binary64_15786`
113×	`add-cube-cbrt_binary64_15799`
104×	`difference-of-squares_binary64_15733` `distribute-lft-out--_binary64_15716`
36×	`associate-/r*_binary64_15708`
15×	`associate-/r/_binary64_15710`
10×	`add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800` `associate-/l*_binary64_15709`
9×	`flip3--_binary64_15768` `flip--_binary64_15739`
8×	`div-inv_binary64_15761`
5×	`add-log-exp_binary64_15803`
4×	`div-exp_binary64_15815` `cbrt-undiv_binary64_15798` `associate-/l/_binary64_15711`
3×	`pow1_binary64_15825` `div-sub_binary64_15769`
2×	`frac-2neg_binary64_15775` `clear-num_binary64_15763`
1×	`sum-log_binary64_15855` `flip3-+_binary64_15767` `flip-+_binary64_15738` `distribute-lft-out_binary64_15715` `associate-+r-_binary64_15698` `+-commutative_binary64_15694`

Counts

3 → 274

Calls

3 calls:

53.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))
19.0ms	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 7392 to 1404 computations (81% saved)

series2.1s (11.9%)

Error

2.0b

Counts

3 → 95

Calls

3 calls:

1.1s	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))
663.0ms	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))
200.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 7897 to 4080 computations (48.3% saved)

simplify187.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5799	12658

prune358.0ms (2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	367	2	369
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	369	14	383

Error

2.0b

Counts

383 → 14

Compiler

Compiled 10372 to 1591 computations (84.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a t))
0.5b	(cbrt.f64 (-.f64 a t))
2.5b	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))
8.0b	(+.f64 x (.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t)))))

rewrite242.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

75×	`add-sqr-sqrt_binary64_15786`
59×	`*-un-lft-identity_binary64_15764`
52×	`times-frac_binary64_15770`
46×	`associate-r_binary64_15704`
37×	`cbrt-prod_binary64_15795`
27×	`add-cube-cbrt_binary64_15799`
25×	`add-exp-log_binary64_15802`
18×	`add-cbrt-cube_binary64_15800` `cbrt-div_binary64_15796`
17×	`associate-l_binary64_15705`
16×	`difference-of-squares_binary64_15733` `distribute-lft-out--_binary64_15716`
10×	`associate-/r/_binary64_15710`
9×	`flip3--_binary64_15768` `flip--_binary64_15739`
8×	`prod-exp_binary64_15813` `cbrt-unprod_binary64_15797`
7×	`div-exp_binary64_15815` `cbrt-undiv_binary64_15798`
6×	`add-log-exp_binary64_15803` `pow1_binary64_15825` `unswap-sqr_binary64_15732`
5×	`frac-times_binary64_15774`
3×	`associate-l/_binary64_15707` `associate-r/_binary64_15706`
2×	`div-inv_binary64_15761` `pow1/3_binary64_15846`
1×	`sum-log_binary64_15855` `flip3-+_binary64_15767` `flip-+_binary64_15738` `+-commutative_binary64_15694` `pow-prod-down_binary64_15835` `*-commutative_binary64_15695`

Counts

4 → 134

Calls

4 calls:

51.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))
6.0ms	(cbrt.f64 (-.f64 a t))
5.0ms	(cbrt.f64 (-.f64 a t))
4.0ms	(+.f64 x (.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t)))))

Compiler

Compiled 5000 to 719 computations (85.6% saved)

series2.3s (13.2%)

Error

2.0b

Counts

4 → 97

Calls

4 calls:

1.2s	(+.f64 x (.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t)))))
716.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))
156.0ms	(cbrt.f64 (-.f64 a t))
125.0ms	(cbrt.f64 (-.f64 a t))

Compiler

Compiled 9203 to 5067 computations (44.9% saved)

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5018	7831

prune321.0ms (1.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	229	2	231
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	231	14	245

Error

2.0b

Counts

245 → 14

Compiler

Compiled 7801 to 1412 computations (81.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))
10.7b	(+.f64 x (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 a t))))))

rewrite116.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

15×	`cbrt-prod_binary64_15795`
13×	`add-sqr-sqrt_binary64_15786` `*-un-lft-identity_binary64_15764`
7×	`add-cube-cbrt_binary64_15799`
6×	`add-log-exp_binary64_15803` `cbrt-div_binary64_15796`
4×	`pow1_binary64_15825` `add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800`
3×	`pow1/3_binary64_15846` `flip3--_binary64_15768` `flip--_binary64_15739` `difference-of-squares_binary64_15733` `distribute-lft-out--_binary64_15716`
1×	`sum-log_binary64_15855` `flip3-+_binary64_15767` `flip-+_binary64_15738` `+-commutative_binary64_15694`

Counts

4 → 56

Calls

4 calls:

10.0ms	(cbrt.f64 (-.f64 y x))
6.0ms	(cbrt.f64 (-.f64 y x))
6.0ms	(cbrt.f64 (-.f64 y x))
5.0ms	(+.f64 x (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 a t))))))

Compiler

Compiled 2641 to 322 computations (87.8% saved)

series1.7s (9.8%)

Error

2.0b

Counts

4 → 63

Calls

4 calls:

1.3s	(+.f64 x (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 a t))))))
104.0ms	(cbrt.f64 (-.f64 y x))
101.0ms	(cbrt.f64 (-.f64 y x))
87.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 6650 to 3553 computations (46.6% saved)

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4976	3802
1	4976	3802

prune161.0ms (0.9%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	119	14	133

Error

2.0b

Counts

133 → 14

Compiler

Compiled 4834 to 721 computations (85.1% saved)

regimes2.1s (11.7%)

Accuracy

Total 6.7b remaining (87.9%)

Threshold costs 0b (0%)

Compiler

Compiled 16208 to 10328 computations (36.3% saved)

bsearch6.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	224	166
1	224	166

end0.0ms (0%)

sample3.3s (18.8%)

Algorithm

1×

intervals

Results

319.0ms	6690×	body	128	valid
74.0ms	381×	body	1024	valid
68.0ms	473×	body	512	valid
65.0ms	1190×	body	128	invalid
54.0ms	393×	body	256	valid
15.0ms	63×	body	2048	valid

Compiler

Compiled 2844 to 1787 computations (37.2% saved)

Details

analyze1.4s (7.9%)

sample42.0ms (0.2%)

simplify111.0ms (0.6%)

prune2.0ms (0%)

localize15.0ms (0.1%)

rewrite154.0ms (0.9%)

series2.1s (11.8%)

simplify101.0ms (0.6%)

prune226.0ms (1.3%)

localize9.0ms (0.1%)

rewrite394.0ms (2.2%)

series2.1s (11.9%)

simplify187.0ms (1.1%)

prune358.0ms (2%)

localize13.0ms (0.1%)

rewrite242.0ms (1.4%)

series2.3s (13.2%)

simplify101.0ms (0.6%)

prune321.0ms (1.8%)

localize18.0ms (0.1%)

rewrite116.0ms (0.7%)

series1.7s (9.8%)

simplify63.0ms (0.4%)

prune161.0ms (0.9%)

regimes2.1s (11.7%)

bsearch6.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample3.3s (18.8%)

Profiling