Details

analyze302.0ms (11.2%)

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)

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	255×	body	128	valid
0.0ms	14×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify171.0ms (6.3%)

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)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_3863`
5×	`associate-r_binary64_3803` `add-sqr-sqrt_binary64_3885`
3×	`distribute-lft-out_binary64_3814` `add-cube-cbrt_binary64_3898` `pow1_binary64_3924` `add-cbrt-cube_binary64_3899` `associate-l_binary64_3804` `add-exp-log_binary64_3901`
2×	`associate-*r/_binary64_3805`
1×	`prod-exp_binary64_3912` `add-log-exp_binary64_3902` `cbrt-unprod_binary64_3896` `unswap-sqr_binary64_3831` `distribute-rgt-in_binary64_3813` `flip3-+_binary64_3866` `*-commutative_binary64_3794` `distribute-lft-in_binary64_3812` `pow-prod-down_binary64_3934` `flip-+_binary64_3837`

Counts

1 → 24

Calls

1 calls:

9.0ms

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

series61.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify78.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4919	321
1	4919	321

prune32.0ms (1.2%)

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 493 to 347 computations (29.6% saved)

localize6.0ms (0.2%)

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 (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_3885` `*-un-lft-identity_binary64_3863`
4×	`add-log-exp_binary64_3902` `associate-r_binary64_3803` `add-cube-cbrt_binary64_3898` `pow1_binary64_3924` `add-cbrt-cube_binary64_3899` `add-exp-log_binary64_3901`
3×	`associate-l_binary64_3804`
2×	`associate-+r+_binary64_3795` `distribute-lft-out_binary64_3814` `distribute-rgt-in_binary64_3813` `flip3-+_binary64_3866` `distribute-lft-in_binary64_3812` `associate-*r/_binary64_3805` `flip-+_binary64_3837`
1×	`prod-exp_binary64_3912` `cbrt-unprod_binary64_3896` `unswap-sqr_binary64_3831` `*-commutative_binary64_3794` `sum-log_binary64_3954` `+-commutative_binary64_3793` `pow-prod-down_binary64_3934`

Counts

2 → 37

Calls

2 calls:

7.0ms	(*.f64 d1 (+.f64 d3 37))
5.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))

series102.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))
48.0ms	(*.f64 d1 (+.f64 d3 37))

simplify67.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5021	474

prune31.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

46 → 3

Compiler

Compiled 581 to 333 computations (42.7% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.6b	(+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (*.f64 d2 (+.f64 d3 37))))
2.3b	(-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))
5.6b	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3)))
26.1b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))

rewrite91.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`associate-r/_binary64_3805` `-un-lft-identity_binary64_3863`
28×	`flip3-+_binary64_3866` `flip-+_binary64_3837`
16×	`frac-sub_binary64_3872`
13×	`associate-r_binary64_3803` `distribute-lft-out_binary64_3814`
11×	`add-log-exp_binary64_3902` `add-cbrt-cube_binary64_3899` `add-exp-log_binary64_3901`
10×	`add-sqr-sqrt_binary64_3885`
8×	`frac-times_binary64_3873` `add-cube-cbrt_binary64_3898` `unpow-prod-down_binary64_3942` `cube-prod_binary64_3891`
6×	`associate-*l/_binary64_3806` `pow1_binary64_3924`
4×	`associate-+r+_binary64_3795` `distribute-rgt-in_binary64_3813` `distribute-lft-in_binary64_3812` `sub-div_binary64_3870` `associate--l+_binary64_3800`
3×	`associate-/r_binary64_3807` `times-frac_binary64_3869` `associate-l*_binary64_3804`
2×	`prod-exp_binary64_3912` `cancel-sign-sub-inv_binary64_3829` `cbrt-unprod_binary64_3896` `div-exp_binary64_3914` `associate-/l/_binary64_3810` `cbrt-undiv_binary64_3897` `sum-log_binary64_3954` `associate--r+_binary64_3799` `associate-/r/_binary64_3809` `sub-neg_binary64_3856` `diff-log_binary64_3955`
1×	`div-inv_binary64_3860` `frac-2neg_binary64_3874` `flip--_binary64_3838` `associate-+r-_binary64_3797` `distribute-rgt-out--_binary64_3817` `associate-/l_binary64_3808` `flip3--_binary64_3867` `unswap-sqr_binary64_3831` `-commutative_binary64_3794` `sum-cubes_binary64_3864` `+-commutative_binary64_3793` `pow-prod-down_binary64_3934` `clear-num_binary64_3862`

Counts

4 → 111

Calls

4 calls:

31.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))
20.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3)))
12.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (*.f64 d2 (+.f64 d3 37))))
12.0ms	(-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))

series780.0ms (28.8%)

Counts

4 → 12

Calls

4 calls:

441.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))
243.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3)))
52.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (*.f64 d2 (+.f64 d3 37))))
43.0ms	(-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))

simplify64.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5106	3510

prune220.0ms (8.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	123	3	126

Merged error: 0b

Counts

126 → 3

Compiler

Compiled 4601 to 3025 computations (34.3% saved)

regimes29.0ms (1.1%)

Compiler: Compiled 141 to 132 computations (6.4% 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%)

sample598.0ms (22.1%)

Algorithm

1×

intervals

Results

283.0ms	7961×	body	128	valid
26.0ms	677×	body	128	invalid
2.0ms	15×	body	1024	valid
1.0ms	12×	body	512	valid
1.0ms	12×	body	256	valid

Compiler

Compiled 73 to 67 computations (8.2% saved)

Details

analyze302.0ms (11.2%)

sample19.0ms (0.7%)

simplify171.0ms (6.3%)

prune5.0ms (0.2%)

localize8.0ms (0.3%)

rewrite10.0ms (0.4%)

series61.0ms (2.2%)

simplify78.0ms (2.9%)

prune32.0ms (1.2%)

localize6.0ms (0.2%)

rewrite14.0ms (0.5%)

series102.0ms (3.8%)

simplify67.0ms (2.5%)

prune31.0ms (1.2%)

localize17.0ms (0.6%)

rewrite91.0ms (3.4%)

series780.0ms (28.8%)

simplify64.0ms (2.4%)

prune220.0ms (8.1%)

regimes29.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample598.0ms (22.1%)

Profiling