Details

analyze1.4s (18.8%)

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)

sample33.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	224×	body	128	valid
2.0ms	41×	body	128	invalid
2.0ms	11×	body	1024	valid
1.0ms	8×	body	512	valid
1.0ms	11×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4915	19
1	4915	19

prune3.0ms (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

21.4b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) (-.f64 z t))
2.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
15.6b	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741`
13×	`flip--_binary64_14716` `flip3--_binary64_14745`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
9×	`add-cube-cbrt_binary64_14776`
8×	`frac-times_binary64_14751` `associate-/l/_binary64_14688`
6×	`cancel-sign-sub-inv_binary64_14707`
5×	`associate-/r_binary64_14685` `times-frac_binary64_14747` `add-log-exp_binary64_14780` `associate-l_binary64_14682` `associate-r*_binary64_14681` `pow1_binary64_14802`
4×	`distribute-lft-out--_binary64_14693` `distribute-lft-in_binary64_14690` `associate-r/_binary64_14683` `associate-l/_binary64_14684` `difference-of-squares_binary64_14710` `distribute-rgt-in_binary64_14691`
2×	`cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774` `associate-/r/_binary64_14687` `div-exp_binary64_14792` `sub-neg_binary64_14734` `prod-exp_binary64_14790`
1×	`unswap-sqr_binary64_14709` `frac-2neg_binary64_14752` `div-inv_binary64_14738` `pow-prod-down_binary64_14812` `distribute-lft-out_binary64_14692` `+-commutative_binary64_14671` `associate-/l_binary64_14686` `-commutative_binary64_14672` `flip-+_binary64_14715` `sum-log_binary64_14832` `clear-num_binary64_14740` `flip3-+_binary64_14744`

Counts

3 → 85

Calls

3 calls:

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

series443.0ms (5.9%)

Counts

3 → 9

Calls

3 calls:

227.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
176.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
40.0ms	(*.f64 (-.f64 y x) (-.f64 z t))

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4998	1705
1	4998	1705

prune109.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	84	10	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	10	95

Error

2.4b

Counts

95 → 10

Compiler

Compiled 2058 to 530 computations (74.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.3b	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
2.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_14763`
73×	`*-un-lft-identity_binary64_14741`
51×	`times-frac_binary64_14747`
31×	`associate-r_binary64_14681`
27×	`add-cube-cbrt_binary64_14776`
23×	`distribute-lft-out--_binary64_14693` `difference-of-squares_binary64_14710`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
5×	`associate-/r_binary64_14685` `add-log-exp_binary64_14780` `associate-/l_binary64_14686` `associate-l_binary64_14682` `flip--_binary64_14716` `flip3--_binary64_14745` `pow1_binary64_14802`
4×	`associate-/r/_binary64_14687`
2×	`unswap-sqr_binary64_14709` `div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `frac-times_binary64_14751` `cbrt-unprod_binary64_14774` `associate-/l/_binary64_14688` `div-exp_binary64_14792` `associate-*l/_binary64_14684` `prod-exp_binary64_14790`
1×	`div-sub_binary64_14746` `frac-2neg_binary64_14752` `pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `+-commutative_binary64_14671` `-commutative_binary64_14672` `flip-+_binary64_14715` `sum-log_binary64_14832` `clear-num_binary64_14740` `flip3-+_binary64_14744`

Counts

3 → 119

Calls

3 calls:

20.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

series454.0ms (6%)

Counts

3 → 9

Calls

3 calls:

238.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
173.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
44.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5753	2426

prune109.0ms (1.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	125	13	138

Error

2.4b

Counts

138 → 13

Compiler

Compiled 2888 to 633 computations (78.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
1.4b	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))
2.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))

rewrite109.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

330×	`times-frac_binary64_14747`
323×	`*-un-lft-identity_binary64_14741`
321×	`add-sqr-sqrt_binary64_14763`
113×	`add-cube-cbrt_binary64_14776`
104×	`distribute-lft-out--_binary64_14693` `difference-of-squares_binary64_14710`
36×	`associate-/r*_binary64_14685`
15×	`associate-/r/_binary64_14687`
10×	`associate-/l*_binary64_14686` `add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
9×	`flip--_binary64_14716` `flip3--_binary64_14745`
8×	`div-inv_binary64_14738`
5×	`add-log-exp_binary64_14780`
4×	`cbrt-undiv_binary64_14775` `associate-/l/_binary64_14688` `div-exp_binary64_14792`
3×	`div-sub_binary64_14746` `pow1_binary64_14802`
2×	`frac-2neg_binary64_14752` `clear-num_binary64_14740`
1×	`distribute-lft-out_binary64_14692` `+-commutative_binary64_14671` `flip-+_binary64_14715` `sum-log_binary64_14832` `flip3-+_binary64_14744` `associate-+r-_binary64_14675`

Counts

3 → 274

Calls

3 calls:

48.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))
17.0ms	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))
8.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series508.0ms (6.8%)

Counts

3 → 9

Calls

3 calls:

235.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))
230.0ms	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))
42.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify127.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5145	8451

prune227.0ms (3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	279	4	283
Fresh	4	7	11
Picked	0	1	1
Done	1	0	1
Total	284	12	296

Error

2.4b

Counts

296 → 12

Compiler

Compiled 7168 to 1022 computations (85.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
2.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
2.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
2.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_14763`
38×	`*-un-lft-identity_binary64_14741`
31×	`associate-r_binary64_14681`
26×	`times-frac_binary64_14747`
16×	`add-cube-cbrt_binary64_14776`
11×	`distribute-lft-out--_binary64_14693` `difference-of-squares_binary64_14710`
10×	`add-log-exp_binary64_14780`
9×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
6×	`pow1_binary64_14802`
5×	`associate-l_binary64_14682`
3×	`+-commutative_binary64_14671` `flip--_binary64_14716` `flip-+_binary64_14715` `sum-log_binary64_14832` `flip3--_binary64_14745` `flip3-+_binary64_14744`
2×	`unswap-sqr_binary64_14709` `frac-times_binary64_14751` `cbrt-unprod_binary64_14774` `associate-/r/_binary64_14687` `associate-*l/_binary64_14684` `prod-exp_binary64_14790`
1×	`div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `div-exp_binary64_14792` `-commutative_binary64_14672`

Counts

4 → 89

Calls

4 calls:

20.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

series896.0ms (11.9%)

Counts

4 → 12

Calls

4 calls:

251.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
243.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
232.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
169.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5460	2149

prune115.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	102	11	113

Error

2.4b

Counts

113 → 11

Compiler

Compiled 5222 to 467 computations (91.1% saved)

regimes744.0ms (9.9%)

Accuracy

Total 3.9b remaining (49.3%)

Threshold costs 0b (0%)

Compiler

Compiled 8264 to 5016 computations (39.3% saved)

bsearch4.0ms (0%)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	100	111
1	100	111

end0.0ms (0%)

sample1.7s (23.1%)

Algorithm

1×

intervals

Results

284.0ms	6728×	body	128	valid
57.0ms	384×	body	1024	valid
50.0ms	471×	body	512	valid
46.0ms	1229×	body	128	invalid
26.0ms	355×	body	256	valid
11.0ms	62×	body	2048	valid

Compiler

Compiled 1491 to 888 computations (40.4% saved)

Details

analyze1.4s (18.8%)

sample33.0ms (0.4%)

simplify97.0ms (1.3%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite40.0ms (0.5%)

series443.0ms (5.9%)

simplify70.0ms (0.9%)

prune109.0ms (1.5%)

localize10.0ms (0.1%)

rewrite44.0ms (0.6%)

series454.0ms (6%)

simplify73.0ms (1%)

prune109.0ms (1.5%)

localize9.0ms (0.1%)

rewrite109.0ms (1.5%)

series508.0ms (6.8%)

simplify127.0ms (1.7%)

prune227.0ms (3%)

localize14.0ms (0.2%)

rewrite49.0ms (0.7%)

series896.0ms (11.9%)

simplify67.0ms (0.9%)

prune115.0ms (1.5%)

regimes744.0ms (9.9%)

bsearch4.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.7s (23.1%)

Profiling