Details

analyze1.1s (8.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5212	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%	89.3%	0.2%	12
12.2%	87.5%	0.2%	13
21.9%	77.7%	0.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample34.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	216×	body	128	valid
2.0ms	13×	body	1024	valid
2.0ms	16×	body	512	valid
1.0ms	30×	body	128	invalid
1.0ms	11×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4973	19
1	4973	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

14.0b

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 t x) (-.f64 a z))
3.0b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
4.5b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite167.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

10.0b

Rules

78×	`add-sqr-sqrt_binary64_3169`
73×	`*-un-lft-identity_binary64_3147`
51×	`times-frac_binary64_3153`
31×	`associate-r_binary64_3087`
27×	`add-cube-cbrt_binary64_3182`
23×	`difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099`
10×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
5×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `flip3--_binary64_3151` `flip--_binary64_3122` `associate-l_binary64_3088` `associate-/l_binary64_3092` `associate-/r_binary64_3091`
4×	`associate-/r/_binary64_3093`
2×	`div-exp_binary64_3198` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `cbrt-undiv_binary64_3181` `frac-times_binary64_3157` `unswap-sqr_binary64_3115` `associate-*l/_binary64_3090` `div-inv_binary64_3144` `associate-/l/_binary64_3094`
1×	`pow-prod-down_binary64_3218` `associate-r/_binary64_3089` `-commutative_binary64_3078` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077` `frac-2neg_binary64_3158` `div-sub_binary64_3152` `clear-num_binary64_3146`

Counts

3 → 119

Calls

3 calls:

19.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
8.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

Compiler

Compiled 2779 to 576 computations (79.3% saved)

series1.9s (14.5%)

Error

0.4b

Counts

3 → 120

Calls

3 calls:

887.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
574.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
288.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

Compiler

Compiled 10700 to 5706 computations (46.7% saved)

simplify105.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4985	9123
1	4985	9123

prune230.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	229	10	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	230	10	240

Error

0.4b

Counts

240 → 10

Compiler

Compiled 7570 to 1548 computations (79.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (-.f64 a z))
0.0b	(-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))
0.0b	(/.f64 z (-.f64 a z))
1.1b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))

rewrite457.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

143×	`*-un-lft-identity_binary64_3147`
125×	`add-sqr-sqrt_binary64_3169`
111×	`times-frac_binary64_3153`
63×	`cancel-sign-sub-inv_binary64_3113`
57×	`add-cube-cbrt_binary64_3182`
41×	`distribute-lft-out--_binary64_3099`
29×	`difference-of-squares_binary64_3116`
22×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
18×	`associate-/r/_binary64_3093` `associate-r_binary64_3087`
11×	`flip3--_binary64_3151` `flip--_binary64_3122`
10×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `associate-/r*_binary64_3091`
9×	`div-inv_binary64_3144`
6×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `distribute-rgt-out--_binary64_3101` `associate-/l*_binary64_3092`
4×	`associate-*r/_binary64_3089`
3×	`sub-neg_binary64_3140` `associate-l_binary64_3088`
2×	`frac-sub_binary64_3156` `sub-div_binary64_3154` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146`
1×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `*-commutative_binary64_3078` `diff-log_binary64_3239`

Counts

4 → 204

Calls

4 calls:

37.0ms	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
33.0ms	(-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))
5.0ms	(/.f64 y (-.f64 a z))
5.0ms	(/.f64 z (-.f64 a z))

Compiler

Compiled 4698 to 950 computations (79.8% saved)

series877.0ms (6.6%)

Error

0.4b

Counts

4 → 102

Calls

4 calls:

380.0ms	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
214.0ms	(-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))
130.0ms	(/.f64 y (-.f64 a z))
50.0ms	(/.f64 z (-.f64 a z))

Compiler

Compiled 5213 to 3302 computations (36.7% saved)

simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

306 → 306

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4978	6833
1	4978	6833

prune224.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	306	0	306
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	306	10	316

Error

0.4b

Counts

316 → 10

Compiler

Compiled 6621 to 1287 computations (80.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 t x) y) (-.f64 a z)))
9.2b	(/.f64 (*.f64 (-.f64 t x) y) (-.f64 a z))

rewrite54.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

10×	`*-un-lft-identity_binary64_3147`
8×	`add-sqr-sqrt_binary64_3169`
7×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
5×	`times-frac_binary64_3153` `associate-/r*_binary64_3091`
4×	`add-log-exp_binary64_3186` `add-cube-cbrt_binary64_3182`
2×	`pow1_binary64_3208` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099` `flip3--_binary64_3151` `associate-*l/_binary64_3090` `associate-/l/_binary64_3094` `flip--_binary64_3122` `associate-/r/_binary64_3093`
1×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `associate-/l*_binary64_3092` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `distribute-lft-out_binary64_3098` `+-commutative_binary64_3077`

Counts

2 → 41

Calls

2 calls:

9.0ms	(/.f64 (*.f64 (-.f64 t x) y) (-.f64 a z))
8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 t x) y) (-.f64 a z)))

Compiler

Compiled 819 to 191 computations (76.7% saved)

series870.0ms (6.5%)

Error

0.4b

Counts

2 → 71

Calls

2 calls:

469.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 t x) y) (-.f64 a z)))
338.0ms	(/.f64 (*.f64 (-.f64 t x) y) (-.f64 a z))

Compiler

Compiled 3892 to 2152 computations (44.7% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5247	2584

prune85.0ms (0.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	112	10	122

Error

0.4b

Counts

122 → 10

Compiler

Compiled 2173 to 468 computations (78.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (sqrt.f64 (-.f64 t x)) (-.f64 a z))
0.2b	(*.f64 (sqrt.f64 (-.f64 t x)) (/.f64 (sqrt.f64 (-.f64 t x)) (-.f64 a z)))
2.4b	(.f64 (-.f64 y z) (.f64 (sqrt.f64 (-.f64 t x)) (/.f64 (sqrt.f64 (-.f64 t x)) (-.f64 a z))))
4.4b	(+.f64 x (.f64 (-.f64 y z) (.f64 (sqrt.f64 (-.f64 t x)) (/.f64 (sqrt.f64 (-.f64 t x)) (-.f64 a z)))))

rewrite253.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

123×	`add-sqr-sqrt_binary64_3169`
107×	`*-un-lft-identity_binary64_3147`
84×	`times-frac_binary64_3153`
65×	`sqrt-prod_binary64_3163`
47×	`add-cube-cbrt_binary64_3182` `associate-r_binary64_3087`
30×	`difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099`
20×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
18×	`sqrt-div_binary64_3164` `frac-times_binary64_3157`
17×	`flip3--_binary64_3151` `flip--_binary64_3122`
13×	`associate-l_binary64_3088`
11×	`pow1_binary64_3208`
10×	`associate-*l/_binary64_3090`
9×	`associate-*r/_binary64_3089`
8×	`associate-/l*_binary64_3092`
7×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
6×	`add-log-exp_binary64_3186` `unswap-sqr_binary64_3115`
5×	`associate-/r*_binary64_3091`
4×	`pow-prod-down_binary64_3218` `associate-/r/_binary64_3093`
3×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181`
2×	`*-commutative_binary64_3078` `div-inv_binary64_3144` `associate-/l/_binary64_3094`
1×	`sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077` `frac-2neg_binary64_3158` `clear-num_binary64_3146`

Counts

4 → 197

Calls

4 calls:

27.0ms	(*.f64 (sqrt.f64 (-.f64 t x)) (/.f64 (sqrt.f64 (-.f64 t x)) (-.f64 a z)))
21.0ms	(.f64 (-.f64 y z) (.f64 (sqrt.f64 (-.f64 t x)) (/.f64 (sqrt.f64 (-.f64 t x)) (-.f64 a z))))
9.0ms	(/.f64 (sqrt.f64 (-.f64 t x)) (-.f64 a z))
4.0ms	(+.f64 x (.f64 (-.f64 y z) (.f64 (sqrt.f64 (-.f64 t x)) (/.f64 (sqrt.f64 (-.f64 t x)) (-.f64 a z)))))

Compiler

Compiled 6205 to 1076 computations (82.7% saved)

series2.1s (16%)

Error

0.4b

Counts

4 → 143

Calls

4 calls:

884.0ms	(+.f64 x (.f64 (-.f64 y z) (.f64 (sqrt.f64 (-.f64 t x)) (/.f64 (sqrt.f64 (-.f64 t x)) (-.f64 a z)))))
570.0ms	(.f64 (-.f64 y z) (.f64 (sqrt.f64 (-.f64 t x)) (/.f64 (sqrt.f64 (-.f64 t x)) (-.f64 a z))))
278.0ms	(*.f64 (sqrt.f64 (-.f64 t x)) (/.f64 (sqrt.f64 (-.f64 t x)) (-.f64 a z)))
203.0ms	(/.f64 (sqrt.f64 (-.f64 t x)) (-.f64 a z))

Compiler

Compiled 12569 to 6789 computations (46% saved)

simplify140.0ms (1%)

Algorithm

1×	egg-herbie

Counts

340 → 340

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5076	11803

prune298.0ms (2.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	340	0	340
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	340	10	350

Error

0.4b

Counts

350 → 10

Compiler

Compiled 10726 to 1974 computations (81.6% saved)

regimes1.6s (12.4%)

Accuracy

Total 6.0b remaining (89.2%)

Threshold costs 0b (0%)

Compiler

Compiled 12112 to 8540 computations (29.5% saved)

bsearch6.0ms (0%)

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

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	139	142
1	139	142

end0.0ms (0%)

sample2.4s (17.7%)

Algorithm

1×

intervals

Results

263.0ms	6713×	body	128	valid
57.0ms	392×	body	1024	valid
56.0ms	485×	body	512	valid
47.0ms	1209×	body	128	invalid
23.0ms	339×	body	256	valid
12.0ms	71×	body	2048	valid

Compiler

Compiled 2101 to 1455 computations (30.7% saved)

Details

analyze1.1s (8.5%)

sample34.0ms (0.3%)

simplify75.0ms (0.6%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite167.0ms (1.3%)

series1.9s (14.5%)

simplify105.0ms (0.8%)

prune230.0ms (1.7%)

localize7.0ms (0.1%)

rewrite457.0ms (3.4%)

series877.0ms (6.6%)

simplify122.0ms (0.9%)

prune224.0ms (1.7%)

localize8.0ms (0.1%)

rewrite54.0ms (0.4%)

series870.0ms (6.5%)

simplify77.0ms (0.6%)

prune85.0ms (0.6%)

localize14.0ms (0.1%)

rewrite253.0ms (1.9%)

series2.1s (16%)

simplify140.0ms (1%)

prune298.0ms (2.2%)

regimes1.6s (12.4%)

bsearch6.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.4s (17.7%)

Profiling