Details

analyze298.0ms (14.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

8.0ms	254×	body	128	valid
1.0ms	16×	body	128	invalid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify176.0ms (8.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	135	10
1	135	10

prune5.0ms (0.2%)

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: 0.0b

Counts

2 → 2

Compiler

Compiled 47 to 43 computations (8.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_4551`
5×	`add-sqr-sqrt_binary64_4573` `associate-r_binary64_4491`
3×	`pow1_binary64_4612` `distribute-lft-out_binary64_4502` `add-exp-log_binary64_4589` `add-cbrt-cube_binary64_4587` `associate-l_binary64_4492` `add-cube-cbrt_binary64_4586`
2×	`associate-*r/_binary64_4493`
1×	`distribute-rgt-in_binary64_4501` `*-commutative_binary64_4482` `prod-exp_binary64_4600` `unswap-sqr_binary64_4519` `add-log-exp_binary64_4590` `cbrt-unprod_binary64_4584` `pow-prod-down_binary64_4622` `flip3-+_binary64_4554` `flip-+_binary64_4525` `distribute-lft-in_binary64_4500`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series59.0ms (2.8%)

Counts

1 → 3

Calls

1 calls:

59.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

simplify78.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4919	321
1	4919	321

prune35.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

Compiler

Compiled 503 to 356 computations (29.2% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))
0.0b	(*.f64 d1 (+.f64 d3 37))

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_4551` `add-sqr-sqrt_binary64_4573`
4×	`pow1_binary64_4612` `add-log-exp_binary64_4590` `associate-r_binary64_4491` `add-exp-log_binary64_4589` `add-cbrt-cube_binary64_4587` `add-cube-cbrt_binary64_4586`
3×	`associate-l_binary64_4492`
2×	`distribute-rgt-in_binary64_4501` `distribute-lft-out_binary64_4502` `flip3-+_binary64_4554` `flip-+_binary64_4525` `distribute-lft-in_binary64_4500` `associate-+r+_binary64_4483` `associate-*r/_binary64_4493`
1×	`sum-log_binary64_4642` `*-commutative_binary64_4482` `prod-exp_binary64_4600` `unswap-sqr_binary64_4519` `cbrt-unprod_binary64_4584` `pow-prod-down_binary64_4622` `+-commutative_binary64_4481`

Counts

2 → 37

Calls

2 calls:

7.0ms	(*.f64 d1 (+.f64 d3 37))
4.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))

series107.0ms (5.1%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))
47.0ms	(*.f64 d1 (+.f64 d3 37))

simplify68.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5021	474

prune33.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	43	3	46

Merged error: 0b

Counts

46 → 3

Compiler

Compiled 615 to 363 computations (41% saved)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (/.f64 (.f64 d1 (-.f64 (*.f64 d3 d3) 1369)) (-.f64 d3 37)))
4.5b	(.f64 d1 (-.f64 (.f64 d3 d3) 1369))
8.5b	(/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) 1369)) (-.f64 d3 37))

rewrite37.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_4573`
13×	`*-un-lft-identity_binary64_4551`
10×	`add-exp-log_binary64_4589` `add-cbrt-cube_binary64_4587`
9×	`add-cube-cbrt_binary64_4586`
6×	`cancel-sign-sub-inv_binary64_4517`
5×	`pow1_binary64_4612` `add-log-exp_binary64_4590` `associate-/r*_binary64_4495` `times-frac_binary64_4557`
4×	`distribute-rgt-in_binary64_4501` `associate-r_binary64_4491` `distribute-lft-in_binary64_4500` `associate-*r/_binary64_4493`
3×	`flip--_binary64_4526` `difference-of-squares_binary64_4520` `flip3--_binary64_4555` `associate-l_binary64_4492`
2×	`cbrt-undiv_binary64_4585` `associate-/l/_binary64_4498` `div-exp_binary64_4602` `prod-exp_binary64_4600` `cbrt-unprod_binary64_4584` `sub-neg_binary64_4544` `distribute-lft-out--_binary64_4503` `associate-/r/_binary64_4497`
1×	`sum-log_binary64_4642` `-commutative_binary64_4482` `unswap-sqr_binary64_4519` `frac-2neg_binary64_4562` `div-inv_binary64_4548` `associate-/l_binary64_4496` `pow-prod-down_binary64_4622` `flip3-+_binary64_4554` `flip-+_binary64_4525` `+-commutative_binary64_4481` `clear-num_binary64_4550`

Counts

3 → 69

Calls

3 calls:

14.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) 1369)) (-.f64 d3 37))
8.0ms	(+.f64 (.f64 d1 d2) (/.f64 (.f64 d1 (-.f64 (*.f64 d3 d3) 1369)) (-.f64 d3 37)))
8.0ms	(.f64 d1 (-.f64 (.f64 d3 d3) 1369))

series389.0ms (18.7%)

Counts

3 → 9

Calls

3 calls:

179.0ms	(+.f64 (.f64 d1 d2) (/.f64 (.f64 d1 (-.f64 (*.f64 d3 d3) 1369)) (-.f64 d3 37)))
125.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) 1369)) (-.f64 d3 37))
85.0ms	(.f64 d1 (-.f64 (.f64 d3 d3) 1369))

simplify54.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5318	1311

prune71.0ms (3.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	78	3	81

Merged error: 0b

Counts

81 → 3

Compiler

Compiled 1594 to 844 computations (47.1% saved)

regimes29.0ms (1.4%)

Compiler: Compiled 99 to 99 computations (0% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample579.0ms (27.8%)

Algorithm

1×

intervals

Results

277.0ms	7951×	body	128	valid
26.0ms	682×	body	128	invalid
2.0ms	22×	body	512	valid
2.0ms	16×	body	1024	valid
1.0ms	11×	body	256	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

Details

analyze298.0ms (14.3%)

sample17.0ms (0.8%)

simplify176.0ms (8.4%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

rewrite11.0ms (0.5%)

series59.0ms (2.8%)

simplify78.0ms (3.8%)

prune35.0ms (1.7%)

localize6.0ms (0.3%)

rewrite14.0ms (0.7%)

series107.0ms (5.1%)

simplify68.0ms (3.3%)

prune33.0ms (1.6%)

localize10.0ms (0.5%)

rewrite37.0ms (1.8%)

series389.0ms (18.7%)

simplify54.0ms (2.6%)

prune71.0ms (3.4%)

regimes29.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample579.0ms (27.8%)

Profiling