Details

analyze1.3s (14.4%)

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
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)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	218×	body	128	valid
2.0ms	47×	body	128	invalid
2.0ms	12×	body	1024	valid
1.0ms	15×	body	256	valid
1.0ms	10×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify245.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5014	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

Merged error: 24.5b

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))
2.1b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
19.9b	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_16590` `add-sqr-sqrt_binary64_16611`
13×	`flip3--_binary64_16594` `flip--_binary64_16565`
10×	`add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
8×	`associate-/l/_binary64_16539` `frac-times_binary64_16600`
7×	`add-cube-cbrt_binary64_16622`
5×	`add-log-exp_binary64_16626` `times-frac_binary64_16596` `pow1_binary64_16648` `associate-r_binary64_16532` `associate-l_binary64_16533` `associate-/r*_binary64_16536`
4×	`associate-r/_binary64_16534` `associate-l/_binary64_16535` `difference-of-squares_binary64_16559` `distribute-lft-out--_binary64_16544`
2×	`sub-neg_binary64_16583` `cbrt-undiv_binary64_16621` `div-exp_binary64_16638` `associate-/r/_binary64_16538` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636`
1×	`unswap-sqr_binary64_16558` `pow-prod-down_binary64_16658` `clear-num_binary64_16589` `frac-2neg_binary64_16601` `distribute-rgt-in_binary64_16542` `associate-/l_binary64_16537` `flip-+_binary64_16564` `distribute-lft-out_binary64_16543` `distribute-lft-in_binary64_16541` `div-inv_binary64_16587` `sum-log_binary64_16678` `-commutative_binary64_16523` `+-commutative_binary64_16522` `flip3-+_binary64_16593`

Counts

3 → 79

Calls

3 calls:

15.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
10.0ms	(*.f64 (-.f64 y x) (-.f64 z t))
9.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))

series963.0ms (10.7%)

Counts

3 → 9

Calls

3 calls:

518.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
375.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
70.0ms	(*.f64 (-.f64 y x) (-.f64 z t))

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	6765	1609

prune101.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	77	11	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	12	89

Merged error: 4.8b

Counts

89 → 12

Compiler

Compiled 1960 to 534 computations (72.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.1b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
2.1b	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite51.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_16611`
73×	`*-un-lft-identity_binary64_16590`
51×	`times-frac_binary64_16596`
31×	`associate-r_binary64_16532`
27×	`add-cube-cbrt_binary64_16622`
23×	`difference-of-squares_binary64_16559` `distribute-lft-out--_binary64_16544`
10×	`add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
5×	`add-log-exp_binary64_16626` `associate-/l_binary64_16537` `pow1_binary64_16648` `flip3--_binary64_16594` `associate-l_binary64_16533` `flip--_binary64_16565` `associate-/r_binary64_16536`
4×	`associate-/r/_binary64_16538`
2×	`unswap-sqr_binary64_16558` `associate-*l/_binary64_16535` `associate-/l/_binary64_16539` `cbrt-undiv_binary64_16621` `div-exp_binary64_16638` `div-inv_binary64_16587` `frac-times_binary64_16600` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636`
1×	`pow-prod-down_binary64_16658` `associate-r/_binary64_16534` `clear-num_binary64_16589` `frac-2neg_binary64_16601` `flip-+_binary64_16564` `div-sub_binary64_16595` `sum-log_binary64_16678` `-commutative_binary64_16523` `+-commutative_binary64_16522` `flip3-+_binary64_16593`

Counts

3 → 119

Calls

3 calls:

21.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
12.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
5.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

series1.0s (11.2%)

Counts

3 → 9

Calls

3 calls:

526.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
389.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
93.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5591	2426

prune123.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	121	7	128
Fresh	4	6	10
Picked	1	0	1
Done	1	0	1
Total	127	13	140

Merged error: 4.7b

Counts

140 → 13

Compiler

Compiled 2903 to 648 computations (77.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 z (-.f64 a t))
0.0b	(/.f64 t (-.f64 a t))
2.1b	(+.f64 x (*.f64 (-.f64 y x) (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))))
2.1b	(*.f64 (-.f64 y x) (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))

rewrite83.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`*-un-lft-identity_binary64_16590`
64×	`add-sqr-sqrt_binary64_16611`
48×	`times-frac_binary64_16596`
28×	`add-cube-cbrt_binary64_16622`
21×	`distribute-lft-out--_binary64_16544`
18×	`associate-r_binary64_16532`
15×	`difference-of-squares_binary64_16559`
12×	`flip3--_binary64_16594` `flip--_binary64_16565`
10×	`add-exp-log_binary64_16625` `associate-/r*_binary64_16536` `add-cbrt-cube_binary64_16623`
8×	`frac-times_binary64_16600` `associate-/r/_binary64_16538`
6×	`add-log-exp_binary64_16626` `associate-/l*_binary64_16537` `pow1_binary64_16648`
5×	`associate-l_binary64_16533`
4×	`associate-*r/_binary64_16534` `sub-neg_binary64_16583` `div-inv_binary64_16587`
3×	`frac-sub_binary64_16599` `distribute-rgt-out--_binary64_16546` `sub-div_binary64_16597`
2×	`clear-num_binary64_16589` `associate-*l/_binary64_16535` `frac-2neg_binary64_16601` `distribute-rgt-in_binary64_16542` `cbrt-undiv_binary64_16621` `div-exp_binary64_16638` `distribute-lft-in_binary64_16541` `associate-+r+_binary64_16524`
1×	`unswap-sqr_binary64_16558` `pow-prod-down_binary64_16658` `flip-+_binary64_16564` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636` `sum-log_binary64_16678` `*-commutative_binary64_16523` `+-commutative_binary64_16522` `flip3-+_binary64_16593`

Counts

4 → 138

Calls

4 calls:

47.0ms	(*.f64 (-.f64 y x) (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))
9.0ms	(+.f64 x (*.f64 (-.f64 y x) (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))))
6.0ms	(/.f64 t (-.f64 a t))
6.0ms	(/.f64 z (-.f64 a t))

series1.0s (11.6%)

Counts

4 → 12

Calls

4 calls:

530.0ms	(+.f64 x (*.f64 (-.f64 y x) (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))))
389.0ms	(*.f64 (-.f64 y x) (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))
69.0ms	(/.f64 z (-.f64 a t))
56.0ms	(/.f64 t (-.f64 a t))

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5086	2951

prune143.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	151	12	163

Merged error: 4.7b

Counts

163 → 12

Compiler

Compiled 3962 to 847 computations (78.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 a t))
0.2b	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
2.1b	(.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))
2.8b	(+.f64 x (.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))

rewrite61.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64_16611`
44×	`*-un-lft-identity_binary64_16590`
32×	`times-frac_binary64_16596` `add-exp-log_binary64_16625`
25×	`add-cube-cbrt_binary64_16622`
22×	`associate-r_binary64_16532`
20×	`frac-times_binary64_16600` `add-cbrt-cube_binary64_16623`
17×	`flip3--_binary64_16594` `flip--_binary64_16565`
13×	`prod-exp_binary64_16636`
12×	`pow1_binary64_16648`
10×	`associate-r/_binary64_16534` `associate-l/_binary64_16535` `associate-l_binary64_16533`
9×	`difference-of-squares_binary64_16559` `distribute-lft-out--_binary64_16544`
7×	`cbrt-unprod_binary64_16620`
6×	`add-log-exp_binary64_16626` `div-exp_binary64_16638`
5×	`associate-/r*_binary64_16536`
4×	`pow-prod-down_binary64_16658` `associate-/r/_binary64_16538` `un-div-inv_binary64_16588`
3×	`unswap-sqr_binary64_16558` `associate-/l*_binary64_16537` `cbrt-undiv_binary64_16621` `1-exp_binary64_16631` `rec-exp_binary64_16637`
2×	`div-inv_binary64_16587` `*-commutative_binary64_16523`
1×	`inv-pow_binary64_16672` `clear-num_binary64_16589` `pow-flip_binary64_16661` `frac-2neg_binary64_16601` `flip-+_binary64_16564` `sum-log_binary64_16678` `+-commutative_binary64_16522` `flip3-+_binary64_16593`

Counts

4 → 146

Calls

4 calls:

18.0ms	(.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))
16.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
7.0ms	(/.f64 1 (-.f64 a t))
5.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))

series1.1s (11.8%)

Counts

4 → 12

Calls

4 calls:

547.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))
374.0ms	(.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))
93.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
45.0ms	(/.f64 1 (-.f64 a t))

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5176	2636

prune128.0ms (1.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	158	12	170

Merged error: 4.7b

Counts

170 → 12

Compiler

Compiled 3207 to 927 computations (71.1% saved)

regimes604.0ms (6.7%)

Compiler: Compiled 5750 to 3826 computations (33.5% saved)

bsearch60.0ms (0.7%)

Steps

Iters	Range		Point
9	1.1863755848689577e-182	1.7727392676308028e-175	5.9148642543831895e-180
8	-1.6651160130961066e-188	-1.2425401423968293e-192	-6.363594727051577e-191

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	100	78
1	100	78

end0.0ms (0%)

sample1.6s (18.2%)

Algorithm

1×

intervals

Results

290.0ms	6746×	body	128	valid
58.0ms	1253×	body	128	invalid
54.0ms	379×	body	1024	valid
54.0ms	470×	body	512	valid
29.0ms	335×	body	256	valid
13.0ms	70×	body	2048	valid

Compiler

Compiled 1055 to 691 computations (34.5% saved)

Details

analyze1.3s (14.4%)

sample29.0ms (0.3%)

simplify245.0ms (2.7%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite42.0ms (0.5%)

series963.0ms (10.7%)

simplify64.0ms (0.7%)

prune101.0ms (1.1%)

localize10.0ms (0.1%)

rewrite51.0ms (0.6%)

series1.0s (11.2%)

simplify66.0ms (0.7%)

prune123.0ms (1.4%)

localize11.0ms (0.1%)

rewrite83.0ms (0.9%)

series1.0s (11.6%)

simplify69.0ms (0.8%)

prune143.0ms (1.6%)

localize11.0ms (0.1%)

rewrite61.0ms (0.7%)

series1.1s (11.8%)

simplify70.0ms (0.8%)

prune128.0ms (1.4%)

regimes604.0ms (6.7%)

bsearch60.0ms (0.7%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.6s (18.2%)

Profiling