Details

analyze551.0ms (22.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	28
1	28	28
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
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
46.8%	44.5%	8.7%	10
51.5%	39%	9.5%	11
57.3%	32.6%	10.1%	12
63.8%	21.6%	14.7%	13
66.2%	18.7%	15.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample18.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	18×	body	128	invalid

Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

prune4.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

8.0ms

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

series36.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify66.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5403	223

prune19.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Error

0.0b

Counts

25 → 4

Compiler

Compiled 253 to 86 computations (66% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
0.3b	(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
2.5b	(sqrt.f64 (*.f64 (+.f64 x y) z))
2.5b	(sqrt.f64 (*.f64 (+.f64 x y) z))

rewrite37.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*l/_binary64`
16×	`sqrt-div_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-cube-cbrt_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate-r_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `frac-times_binary64`
2×	`cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 104

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
6.0ms	(*.f64 (+.f64 x y) z)
5.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))
4.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))

series237.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

94.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))
92.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))
26.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
24.0ms	(*.f64 (+.f64 x y) z)

simplify61.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4967	1283
1	4967	1283

prune72.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	116	4	120

Error

0.0b

Counts

120 → 4

Compiler

Compiled 1750 to 403 computations (77% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
2.5b	(sqrt.f64 (*.f64 (+.f64 x y) z))
2.5b	(sqrt.f64 (.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64`
7×	`pow-prod-down_binary64`
6×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-pow1_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64` `associate-l/_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
2×	`flip3-+_binary64` `pow1/2_binary64` `pow1/3_binary64` `sqrt-prod_binary64` `flip-+_binary64`

Counts

4 → 50

Calls

4 calls:

12.0ms	(sqrt.f64 (.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
4.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series395.0ms (15.8%)

Counts

4 → 12

Calls

4 calls:

151.0ms	(sqrt.f64 (.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
92.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))
78.0ms	(cbrt.f64 z)
73.0ms	(cbrt.f64 z)

simplify65.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4980	632
1	4980	632

prune47.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	62	4	66

Error

0.0b

Counts

66 → 4

Compiler

Compiled 1452 to 307 computations (78.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
0.1b	(*.f64 (+.f64 x y) (sqrt.f64 z))

rewrite24.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

13.0ms	(.f64 (.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
8.0ms	(*.f64 (+.f64 x y) (sqrt.f64 z))

series79.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

43.0ms	(*.f64 (+.f64 x y) (sqrt.f64 z))
36.0ms	(.f64 (.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))

simplify53.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5046	625

prune33.0ms (1.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	54	4	58

Error

0.0b

Counts

58 → 4

Compiler

Compiled 666 to 160 computations (76% saved)

regimes86.0ms (3.5%)

Accuracy

Total 0.0b remaining (43.6%)

Threshold costs 0.0b (43.6%)

Compiler

Compiled 452 to 366 computations (19% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

Compiler

Compiled 10 to 10 computations (0% saved)

end0.0ms (0%)

sample537.0ms (21.6%)

Algorithm

1×

intervals

Results

176.0ms	8000×	body	128	valid
12.0ms	590×	body	128	invalid

Compiler

Compiled 97 to 80 computations (17.5% saved)

Details

analyze551.0ms (22.1%)

sample18.0ms (0.7%)

simplify7.0ms (0.3%)

prune4.0ms (0.2%)

localize6.0ms (0.2%)

rewrite10.0ms (0.4%)

series36.0ms (1.4%)

simplify66.0ms (2.6%)

prune19.0ms (0.7%)

localize6.0ms (0.3%)

rewrite37.0ms (1.5%)

series237.0ms (9.5%)

simplify61.0ms (2.4%)

prune72.0ms (2.9%)

localize12.0ms (0.5%)

rewrite22.0ms (0.9%)

series395.0ms (15.8%)

simplify65.0ms (2.6%)

prune47.0ms (1.9%)

localize6.0ms (0.2%)

rewrite24.0ms (0.9%)

series79.0ms (3.2%)

simplify53.0ms (2.1%)

prune33.0ms (1.3%)

regimes86.0ms (3.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample537.0ms (21.6%)

Profiling