Details

analyze387.0ms (16.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	52
1	107	52
0	3	3
1	3	3

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
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample20.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	14×	body	128	invalid

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	41	13
1	41	13

prune4.0ms (0.1%)

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 33 to 24 computations (27.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.2b	(.f64 z (.f64 z 3))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_9346` `add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
4×	`add-log-exp_binary64_9324`
3×	`cbrt-unprod_binary64_9318` `add-sqr-sqrt_binary64_9307` `prod-exp_binary64_9334` `-un-lft-identity_binary64_9285` `pow-prod-down_binary64_9356` `associate-l*_binary64_9226` `add-cube-cbrt_binary64_9320`
1×	`associate-r_binary64_9225` `flip-+_binary64_9259` `*-commutative_binary64_9216` `sum-log_binary64_9376` `flip3-+_binary64_9288` `+-commutative_binary64_9215`

Counts

2 → 29

Calls

2 calls:

5.0ms	(.f64 z (.f64 z 3))
4.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))

series62.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

42.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
20.0ms	(.f64 z (.f64 z 3))

simplify95.0ms (4%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4926	419
1	4926	419

prune32.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

Compiler

Compiled 495 to 278 computations (43.8% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
0.2b	(.f64 (.f64 z z) 3)

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_9346` `add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
4×	`add-sqr-sqrt_binary64_9307` `add-log-exp_binary64_9324`
3×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `-un-lft-identity_binary64_9285` `pow-prod-down_binary64_9356` `associate-r*_binary64_9225` `add-cube-cbrt_binary64_9320`
1×	`unswap-sqr_binary64_9253` `associate-l_binary64_9226` `flip-+_binary64_9259` `*-commutative_binary64_9216` `sum-log_binary64_9376` `flip3-+_binary64_9288` `+-commutative_binary64_9215`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 (.f64 z z) 3)
4.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))

series62.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

42.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
19.0ms	(.f64 (.f64 z z) 3)

simplify58.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4914	435
1	4914	435

prune27.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

Compiler

Compiled 498 to 250 computations (49.8% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

0.2b

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

0.3b

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite39.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`pow1_binary64_9346`
33×	`add-exp-log_binary64_9323`
27×	`pow-prod-down_binary64_9356`
21×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334`
20×	`add-cbrt-cube_binary64_9321`
7×	`associate-r_binary64_9225`
5×	`add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285` `add-log-exp_binary64_9324` `add-cube-cbrt_binary64_9320`
4×	`pow-plus_binary64_9348` `pow-prod-up_binary64_9355`
3×	`cbrt-prod_binary64_9316`
2×	`associate-l_binary64_9226` `*-commutative_binary64_9216` `pow2_binary64_9366` `pow-sqr_binary64_9258`
1×	`unswap-sqr_binary64_9253` `flip-+_binary64_9259` `sum-log_binary64_9376` `flip3-+_binary64_9288` `+-commutative_binary64_9215`

Counts

3 → 70

Calls

3 calls:

16.0ms

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

13.0ms

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

4.0ms

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

series186.0ms (7.8%)

Counts

3 → 9

Calls

3 calls:

92.0ms

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

53.0ms

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

41.0ms

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

simplify87.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4960	884
1	4960	884

prune67.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	79	4	83

Merged error: 0.0b

Counts

83 → 4

Compiler

Compiled 1195 to 724 computations (39.4% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 z (.f64 z 3))
0.3b	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
19.0b	(sqrt.f64 (.f64 z (.f64 z 3)))
19.0b	(sqrt.f64 (.f64 z (.f64 z 3)))

rewrite34.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`pow1_binary64_9346`
80×	`pow-prod-down_binary64_9356`
66×	`sqrt-pow1_binary64_9303`
17×	`pow-prod-up_binary64_9355`
14×	`pow1/2_binary64_9365`
11×	`add-sqr-sqrt_binary64_9307` `add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323` `pow-sqr_binary64_9258`
9×	`*-un-lft-identity_binary64_9285` `add-cube-cbrt_binary64_9320`
7×	`associate-l_binary64_9226`
6×	`sqrt-prod_binary64_9301`
5×	`associate-r_binary64_9225`
4×	`swap-sqr_binary64_9252` `cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `add-log-exp_binary64_9324`
2×	`*-commutative_binary64_9216`
1×	`unswap-sqr_binary64_9253` `pow-plus_binary64_9348` `sqrt-unprod_binary64_9305` `pow2_binary64_9366` `rem-square-sqrt_binary64_9297`

Counts

4 → 108

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
5.0ms	(.f64 z (.f64 z 3))
4.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
4.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))

series102.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
24.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
21.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
18.0ms	(.f64 z (.f64 z 3))

simplify56.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4926	737
1	4926	737

prune98.0ms (4.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	120	4	124

Merged error: 0.0b

Counts

124 → 4

Compiler

Compiled 1837 to 1139 computations (38% saved)

regimes158.0ms (6.6%)

Compiler: Compiled 1243 to 1075 computations (13.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample745.0ms (31.3%)

Algorithm

1×

intervals

Results

251.0ms	8000×	body	128	valid
13.0ms	454×	body	128	invalid

Compiler

Compiled 223 to 190 computations (14.8% saved)

Details

analyze387.0ms (16.2%)

sample20.0ms (0.9%)

simplify8.0ms (0.3%)

prune4.0ms (0.1%)

localize6.0ms (0.3%)

rewrite11.0ms (0.5%)

series62.0ms (2.6%)

simplify95.0ms (4%)

prune32.0ms (1.4%)

localize6.0ms (0.3%)

rewrite12.0ms (0.5%)

series62.0ms (2.6%)

simplify58.0ms (2.5%)

prune27.0ms (1.1%)

localize9.0ms (0.4%)

rewrite39.0ms (1.6%)

series186.0ms (7.8%)

simplify87.0ms (3.7%)

prune67.0ms (2.8%)

localize9.0ms (0.4%)

rewrite34.0ms (1.4%)

series102.0ms (4.3%)

simplify56.0ms (2.3%)

prune98.0ms (4.1%)

regimes158.0ms (6.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample745.0ms (31.3%)

Profiling