Details

analyze423.0ms (15.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4975	9
1	4975	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify118.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4975	9
1	4975	9

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

33.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

31.8b

(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64`
3×	`pow-prod-down_binary64` `sqrt-pow1_binary64`
1×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1/2_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`

Counts

1 → 12

Calls

1 calls:

6.0ms

(sqrt.f64 (*.f64 2 (*.f64 x x)))

series33.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

33.0ms

(sqrt.f64 (*.f64 2 (*.f64 x x)))

simplify164.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	4798	120
1	4798	120

prune17.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Error

0.2b

Counts

16 → 4

Compiler

Compiled 162 to 110 computations (32.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.5b	(*.f64 (sqrt.f64 2) (fabs.f64 x))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`associate-l_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 (sqrt.f64 2) (fabs.f64 x))

series27.0ms (1%)

Counts

1 → 3

Calls

1 calls:

27.0ms

(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify71.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4863	270
1	4863	270

prune29.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	21	8	29

Error

0.0b

Counts

29 → 8

Compiler

Compiled 314 to 231 computations (26.4% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.2b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`associate-r_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
8×	`cbrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`associate-l_binary64` `sqrt-prod_binary64`
3×	`unswap-sqr_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

2 → 48

Calls

2 calls:

11.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
6.0ms	(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))

series130.0ms (4.8%)

Counts

2 → 6

Calls

2 calls:

105.0ms	(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
25.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify71.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5097	624

prune57.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	3	2	5
Picked	0	1	1
Done	1	1	2
Total	56	6	62

Error

0.0b

Counts

62 → 6

Compiler

Compiled 830 to 689 computations (17% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.2b

(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

0.3b

(*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))

0.3b

(*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

rewrite59.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`pow1_binary64` `add-exp-log_binary64`
33×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
24×	`add-cbrt-cube_binary64`
15×	`cbrt-prod_binary64`
14×	`associate-r_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`associate-l_binary64`
3×	`add-log-exp_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

3 → 83

Calls

3 calls:

25.0ms

(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

15.0ms

(*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))

10.0ms

(*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

series257.0ms (9.5%)

Counts

3 → 9

Calls

3 calls:

120.0ms

(*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

105.0ms

(*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))

31.0ms

(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

simplify87.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4895	1187
1	4895	1187

prune104.0ms (3.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	3	3
Picked	0	1	1
Done	1	1	2
Total	92	6	98

Error

Counts

98 → 6

Compiler

Compiled 1609 to 1396 computations (13.2% saved)

regimes131.0ms (4.8%)

Accuracy

Total 0.3b remaining (99.8%)

Threshold costs 0.3b (99.8%)

Compiler

Compiled 1066 to 942 computations (11.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	24
1	13	24

end0.0ms (0%)

sample846.0ms (31.2%)

Algorithm

1×

intervals

Results

350.0ms

8000×

body

128

valid

Compiler

Compiled 280 to 250 computations (10.7% saved)

Details

analyze423.0ms (15.6%)

sample19.0ms (0.7%)

simplify118.0ms (4.3%)

prune6.0ms (0.2%)

localize5.0ms (0.2%)

rewrite7.0ms (0.3%)

series33.0ms (1.2%)

simplify164.0ms (6.1%)

prune17.0ms (0.6%)

localize4.0ms (0.1%)

rewrite6.0ms (0.2%)

series27.0ms (1%)

simplify71.0ms (2.6%)

prune29.0ms (1.1%)

localize7.0ms (0.3%)

rewrite21.0ms (0.8%)

series130.0ms (4.8%)

simplify71.0ms (2.6%)

prune57.0ms (2.1%)

localize10.0ms (0.4%)

rewrite59.0ms (2.2%)

series257.0ms (9.5%)

simplify87.0ms (3.2%)

prune104.0ms (3.8%)

regimes131.0ms (4.8%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample846.0ms (31.2%)

Profiling