Details

analyze1.3s (12.8%)

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%	89.3%	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)

sample35.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	205×	body	128	valid
3.0ms	22×	body	512	valid
2.0ms	11×	body	1024	valid
1.0ms	34×	body	128	invalid
1.0ms	13×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify251.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5088	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: 19.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
4.0b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
7.1b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite51.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_3468`
73×	`*-un-lft-identity_binary64_3447`
51×	`times-frac_binary64_3453`
31×	`associate-r_binary64_3389`
27×	`add-cube-cbrt_binary64_3479`
23×	`distribute-lft-out--_binary64_3401` `difference-of-squares_binary64_3416`
10×	`add-cbrt-cube_binary64_3480` `add-exp-log_binary64_3482`
5×	`flip--_binary64_3422` `add-log-exp_binary64_3483` `associate-/r_binary64_3393` `associate-l_binary64_3390` `flip3--_binary64_3451` `pow1_binary64_3505` `associate-/l_binary64_3394`
4×	`associate-/r/_binary64_3395`
2×	`cbrt-unprod_binary64_3477` `div-exp_binary64_3495` `associate-*l/_binary64_3392` `frac-times_binary64_3457` `cbrt-undiv_binary64_3478` `unswap-sqr_binary64_3415` `div-inv_binary64_3444` `prod-exp_binary64_3493` `associate-/l/_binary64_3396`
1×	`flip-+_binary64_3421` `sum-log_binary64_3535` `frac-2neg_binary64_3458` `associate-r/_binary64_3391` `flip3-+_binary64_3450` `+-commutative_binary64_3379` `div-sub_binary64_3452` `clear-num_binary64_3446` `-commutative_binary64_3380` `pow-prod-down_binary64_3515`

Counts

3 → 119

Calls

3 calls:

25.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
9.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

series980.0ms (10%)

Counts

3 → 9

Calls

3 calls:

488.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
352.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
139.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5636	2420

prune144.0ms (1.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	113	15	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	15	129

Merged error: 5.5b

Counts

129 → 15

Compiler

Compiled 2970 to 680 computations (77.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a z))
0.5b	(cbrt.f64 (-.f64 a z))
1.9b	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
10.6b	(+.f64 x (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))

rewrite75.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_3468`
59×	`*-un-lft-identity_binary64_3447`
52×	`times-frac_binary64_3453`
46×	`associate-r_binary64_3389`
37×	`cbrt-prod_binary64_3475`
27×	`add-cube-cbrt_binary64_3479`
25×	`add-exp-log_binary64_3482`
18×	`cbrt-div_binary64_3476` `add-cbrt-cube_binary64_3480`
17×	`associate-l_binary64_3390`
16×	`distribute-lft-out--_binary64_3401` `difference-of-squares_binary64_3416`
10×	`associate-/r/_binary64_3395`
9×	`flip--_binary64_3422` `flip3--_binary64_3451`
8×	`cbrt-unprod_binary64_3477` `prod-exp_binary64_3493`
7×	`div-exp_binary64_3495` `cbrt-undiv_binary64_3478`
6×	`add-log-exp_binary64_3483` `unswap-sqr_binary64_3415` `pow1_binary64_3505`
5×	`frac-times_binary64_3457`
3×	`associate-l/_binary64_3392` `associate-r/_binary64_3391`
2×	`div-inv_binary64_3444` `pow1/3_binary64_3526`
1×	`flip-+_binary64_3421` `sum-log_binary64_3535` `flip3-+_binary64_3450` `+-commutative_binary64_3379` `*-commutative_binary64_3380` `pow-prod-down_binary64_3515`

Counts

4 → 134

Calls

4 calls:

42.0ms	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
6.0ms	(cbrt.f64 (-.f64 a z))
4.0ms	(+.f64 x (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))
3.0ms	(cbrt.f64 (-.f64 a z))

series1.6s (16.5%)

Counts

4 → 12

Calls

4 calls:

698.0ms	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
504.0ms	(+.f64 x (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))
212.0ms	(cbrt.f64 (-.f64 a z))
206.0ms	(cbrt.f64 (-.f64 a z))

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5309	3930

prune145.0ms (1.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	144	17	161

Merged error: 5.5b

Counts

161 → 17

Compiler

Compiled 4797 to 941 computations (80.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
0.5b	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
5.7b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
7.1b	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))

rewrite127.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64_3453`
338×	`add-sqr-sqrt_binary64_3468`
326×	`*-un-lft-identity_binary64_3447`
158×	`add-cube-cbrt_binary64_3479`
98×	`associate-r_binary64_3389`
83×	`distribute-lft-out--_binary64_3401` `difference-of-squares_binary64_3416`
36×	`associate-/r*_binary64_3393` `add-exp-log_binary64_3482`
20×	`add-cbrt-cube_binary64_3480`
18×	`associate-/r/_binary64_3395`
15×	`div-exp_binary64_3495`
11×	`flip--_binary64_3422` `flip3--_binary64_3451`
10×	`div-inv_binary64_3444`
8×	`associate-/l*_binary64_3394`
7×	`cbrt-undiv_binary64_3478` `pow1_binary64_3505` `prod-exp_binary64_3493`
6×	`add-log-exp_binary64_3483`
5×	`associate-l_binary64_3390` `unswap-sqr_binary64_3415`
4×	`1-exp_binary64_3488` `rec-exp_binary64_3494`
3×	`cbrt-unprod_binary64_3477`
2×	`frac-2neg_binary64_3458` `associate-*l/_binary64_3392` `frac-times_binary64_3457` `clear-num_binary64_3446` `associate-/l/_binary64_3396`
1×	`flip-+_binary64_3421` `sum-log_binary64_3535` `pow-flip_binary64_3518` `associate-r/_binary64_3391` `flip3-+_binary64_3450` `+-commutative_binary64_3379` `div-sub_binary64_3452` `inv-pow_binary64_3529` `un-div-inv_binary64_3445` `-commutative_binary64_3380` `pow-prod-down_binary64_3515`

Counts

4 → 344

Calls

4 calls:

45.0ms	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))
14.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
9.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))

series1.7s (17.3%)

Counts

4 → 12

Calls

4 calls:

681.0ms	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))
480.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
415.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
124.0ms	(/.f64 (-.f64 a z) (-.f64 t x))

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4971	7621
1	4971	7621

prune336.0ms (3.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	352	4	356
Fresh	5	10	15
Picked	1	0	1
Done	1	0	1
Total	359	14	373

Merged error: 5.5b

Counts

373 → 14

Compiler

Compiled 8800 to 2278 computations (74.1% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 a z))
1.8b	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))
3.3b	(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_3468`
73×	`*-un-lft-identity_binary64_3447`
51×	`times-frac_binary64_3453`
31×	`associate-l_binary64_3390`
27×	`add-cube-cbrt_binary64_3479`
23×	`distribute-lft-out--_binary64_3401` `difference-of-squares_binary64_3416`
10×	`add-cbrt-cube_binary64_3480` `add-exp-log_binary64_3482`
5×	`flip--_binary64_3422` `add-log-exp_binary64_3483` `associate-/r_binary64_3393` `flip3--_binary64_3451` `associate-r_binary64_3389` `pow1_binary64_3505` `associate-/l_binary64_3394`
4×	`associate-/r/_binary64_3395` `sub-neg_binary64_3440`
2×	`cbrt-unprod_binary64_3477` `associate-+r+_binary64_3381` `distribute-lft-in_binary64_3398` `div-exp_binary64_3495` `associate-*r/_binary64_3391` `frac-times_binary64_3457` `cbrt-undiv_binary64_3478` `unswap-sqr_binary64_3415` `distribute-rgt-in_binary64_3399` `div-inv_binary64_3444` `prod-exp_binary64_3493` `associate-/l/_binary64_3396`
1×	`flip-+_binary64_3421` `sum-log_binary64_3535` `frac-2neg_binary64_3458` `associate-l/_binary64_3392` `flip3-+_binary64_3450` `+-commutative_binary64_3379` `div-sub_binary64_3452` `clear-num_binary64_3446` `-commutative_binary64_3380` `pow-prod-down_binary64_3515`

Counts

3 → 123

Calls

3 calls:

19.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))
9.0ms	(/.f64 (-.f64 y z) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))

series1.3s (12.9%)

Counts

3 → 9

Calls

3 calls:

695.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))
482.0ms	(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))
92.0ms	(/.f64 (-.f64 y z) (-.f64 a z))

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4984	2527
1	4984	2527

prune98.0ms (1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	131	15	146

Merged error: 5.5b

Counts

146 → 15

Compiler

Compiled 2747 to 542 computations (80.3% saved)

regimes225.0ms (2.3%)

Compiler: Compiled 1878 to 1302 computations (30.7% saved)

bsearch2.0ms (0%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	85
1	70	85

end0.0ms (0%)

sample1.1s (11.1%)

Algorithm

1×

intervals

Results

299.0ms	6743×	body	128	valid
60.0ms	505×	body	512	valid
58.0ms	366×	body	1024	valid
54.0ms	1224×	body	128	invalid
25.0ms	319×	body	256	valid
13.0ms	67×	body	2048	valid

Compiler

Compiled 378 to 248 computations (34.4% saved)

Details

analyze1.3s (12.8%)

sample35.0ms (0.4%)

simplify251.0ms (2.6%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite51.0ms (0.5%)

series980.0ms (10%)

simplify66.0ms (0.7%)

prune144.0ms (1.5%)

localize14.0ms (0.1%)

rewrite75.0ms (0.8%)

series1.6s (16.5%)

simplify64.0ms (0.7%)

prune145.0ms (1.5%)

localize12.0ms (0.1%)

rewrite127.0ms (1.3%)

series1.7s (17.3%)

simplify129.0ms (1.3%)

prune336.0ms (3.4%)

localize13.0ms (0.1%)

rewrite45.0ms (0.5%)

series1.3s (12.9%)

simplify50.0ms (0.5%)

prune98.0ms (1%)

regimes225.0ms (2.3%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (11.1%)

Profiling