Details

analyze321.0ms (34.9%)

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)

sample18.0ms (2%)

Algorithm

1×

intervals

Results

9.0ms	254×	body	80	valid
1.0ms	20×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify15.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	135	10
1	135	10

prune9.0ms (1%)

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 27 to 25 computations (7.4% saved)

localize6.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

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

series7.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify95.0ms (10.3%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4955	321
1	4955	321

prune27.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0b

Counts

29 → 5

Compiler

Compiled 370 to 245 computations (33.8% saved)

localize6.0ms (0.7%)

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))

rewrite12.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

6.0ms	(*.f64 d1 (+.f64 d3 37))
5.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))

series16.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))
6.0ms	(*.f64 d1 (+.f64 d3 37))

simplify70.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5189	471

prune31.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	43	5	48

Merged error: 0b

Counts

48 → 5

Compiler

Compiled 589 to 342 computations (41.9% saved)

localize11.0ms (1.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

rewrite20.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-l_binary64` `sum-log_binary64`
3×	`flip3-+_binary64` `associate-r_binary64` `flip-+_binary64`
2×	`+-commutative_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 45

Calls

3 calls:

8.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
6.0ms	(*.f64 (+.f64 d3 5) d1)
5.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

series21.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
8.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
5.0ms	(*.f64 (+.f64 d3 5) d1)

simplify62.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5386	688

prune40.0ms (4.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	54	5	59

Merged error: 0b

Counts

59 → 5

Compiler

Compiled 907 to 563 computations (37.9% saved)

localize8.0ms (0.8%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))

rewrite30.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
16×	`associate-r_binary64`
14×	`sqrt-div_binary64`
11×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
10×	`associate-*r/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `add-cube-cbrt_binary64` `flip-+_binary64`
6×	`distribute-lft-out_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`add-log-exp_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 57

Calls

2 calls:

16.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
9.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))

series23.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
8.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))

simplify59.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5116	1152

Details

analyze321.0ms (34.9%)

sample18.0ms (2%)

simplify15.0ms (1.7%)

prune9.0ms (1%)

localize6.0ms (0.6%)

rewrite9.0ms (1%)

series7.0ms (0.8%)

simplify95.0ms (10.3%)

prune27.0ms (2.9%)

localize6.0ms (0.7%)

rewrite12.0ms (1.3%)

series16.0ms (1.7%)

simplify70.0ms (7.6%)

prune31.0ms (3.4%)

localize11.0ms (1.2%)

rewrite20.0ms (2.2%)

series21.0ms (2.3%)

simplify62.0ms (6.7%)

prune40.0ms (4.3%)

localize8.0ms (0.8%)

rewrite30.0ms (3.2%)

series23.0ms (2.5%)

simplify59.0ms (6.4%)

prune4.0ms (0.5%)

Profiling