Details

analyze65.0ms (2.8%)

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
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample11.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify96.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	10
1	45	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_4209`
4×	`*-un-lft-identity_binary64_4170` `sum-log_binary64_4261`
2×	`pow1_binary64_4231` `add-sqr-sqrt_binary64_4192` `add-exp-log_binary64_4208` `flip-+_binary64_4144` `add-cbrt-cube_binary64_4206` `+-commutative_binary64_4100` `flip3-+_binary64_4173` `add-cube-cbrt_binary64_4205`
1×	`associate-+l+_binary64_4103` `distribute-lft-out_binary64_4121`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
4.0ms	(+.f64 (*.f64 x y) x)

series119.0ms (5.2%)

Counts

2 → 21

Calls

2 calls:

68.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
52.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 203 to 161 computations (20.7% saved)

simplify45.0ms (2%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4983	484
1	4983	484

prune27.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Error

Counts

47 → 3

Compiler

Compiled 464 to 108 computations (76.7% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite39.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_4192`
24×	`sqrt-prod_binary64_4186`
21×	`pow1_binary64_4231`
16×	`sqrt-div_binary64_4187`
14×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
10×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188`
9×	`flip-+_binary64_4144` `flip3-+_binary64_4173`
8×	`swap-sqr_binary64_4137`
6×	`associate-l_binary64_4111` `add-exp-log_binary64_4208` `associate-r_binary64_4110` `add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209`
5×	`pow-prod-up_binary64_4240`
4×	`frac-times_binary64_4180` `rem-sqrt-square_binary64_4183` `unswap-sqr_binary64_4138`
3×	`pow-prod-down_binary64_4241` `pow-sqr_binary64_4143`
2×	`associate-r/_binary64_4112` `associate-l/_binary64_4113`
1×	`sqr-abs_binary64_4185` `pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `pow2_binary64_4251` `sqrt-unprod_binary64_4190` `rem-square-sqrt_binary64_4182` `+-commutative_binary64_4100` `*-commutative_binary64_4101` `sum-log_binary64_4261`

Counts

4 → 99

Calls

4 calls:

13.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y)))) y)
11.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))

series242.0ms (10.5%)

Counts

4 → 36

Calls

4 calls:

75.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y)))) y)
60.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))
54.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
53.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))

Compiler

Compiled 1020 to 745 computations (27% saved)

simplify61.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4987	1686
1	4987	1686

prune79.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	135	3	138

Error

Counts

138 → 3

Compiler

Compiled 2133 to 439 computations (79.4% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1))) y)
1.1b	(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1)))
1.3b	(pow.f64 (exp.f64 x) (+.f64 y 1))

rewrite21.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`log-prod_binary64_4256`
14×	`*-un-lft-identity_binary64_4170`
10×	`add-sqr-sqrt_binary64_4192` `add-cube-cbrt_binary64_4205`
9×	`unpow-prod-down_binary64_4249`
8×	`associate-+l+_binary64_4103`
4×	`pow-unpow_binary64_4247` `pow1_binary64_4231` `add-exp-log_binary64_4208` `pow-pow_binary64_4242` `add-log-exp_binary64_4209`
3×	`exp-prod_binary64_4222` `rem-log-exp_binary64_4211` `sqr-pow_binary64_4142` `add-cbrt-cube_binary64_4206` `unpow-prod-up_binary64_4248`
2×	`pow-to-exp_binary64_4239` `pow-exp_binary64_4238` `distribute-lft-out_binary64_4121`
1×	`flip-+_binary64_4144` `log-pow_binary64_4259` `+-commutative_binary64_4100` `flip3-+_binary64_4173` `sum-log_binary64_4261`

Counts

3 → 61

Calls

3 calls:

8.0ms	(pow.f64 (exp.f64 x) (+.f64 y 1))
6.0ms	(+.f64 (log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1))) y)
3.0ms	(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1)))

series841.0ms (36.4%)

Counts

3 → 27

Calls

3 calls:

373.0ms	(+.f64 (log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1))) y)
362.0ms	(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1)))
106.0ms	(pow.f64 (exp.f64 x) (+.f64 y 1))

Compiler

Compiled 535 to 423 computations (20.9% saved)

simplify72.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5093	996

prune63.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	3	91

Error

Counts

91 → 3

Compiler

Compiled 1050 to 635 computations (39.5% saved)

regimes54.0ms (2.4%)

Accuracy

Total 0.0b remaining (60.1%)

Threshold costs 0.0b (60.1%)

Compiler

Compiled 258 to 186 computations (27.9% 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%)

sample435.0ms (18.9%)

Algorithm

1×

intervals

Results

169.0ms	7999×	body	128	valid
2.0ms	87×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 95 to 70 computations (26.3% saved)

Details

analyze65.0ms (2.8%)

sample11.0ms (0.5%)

simplify96.0ms (4.2%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

rewrite12.0ms (0.5%)

series119.0ms (5.2%)

simplify45.0ms (2%)

prune27.0ms (1.2%)

localize7.0ms (0.3%)

rewrite39.0ms (1.7%)

series242.0ms (10.5%)

simplify61.0ms (2.7%)

prune79.0ms (3.4%)

localize7.0ms (0.3%)

rewrite21.0ms (0.9%)

series841.0ms (36.4%)

simplify72.0ms (3.1%)

prune63.0ms (2.7%)

regimes54.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample435.0ms (18.9%)

Profiling