Details

analyze151.0ms (8.8%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4
0	1	1
1	1	1

Search

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

Compiler

Compiled 12 to 12 computations (0% saved)

sample63.0ms (3.7%)

Algorithm

2×

intervals

Results

12.0ms

512×

body

128

valid

Compiler

Compiled 1553 to 1811 computations (-16.6% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

prune3.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x 1/3)

rewrite14.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_7960` `*-un-lft-identity_binary64_7921`
1×	`sum-log_binary64_8012` `pow1_binary64_7982` `add-exp-log_binary64_7959` `add-cbrt-cube_binary64_7957` `add-cube-cbrt_binary64_7956` `add-sqr-sqrt_binary64_7943` `flip3-+_binary64_7924` `flip-+_binary64_7895` `distribute-lft-out_binary64_7872` `+-commutative_binary64_7851`

Counts

1 → 12

Calls

1 calls:

3.0ms

(+.f64 x 1/3)

Compiler

Compiled 99 to 77 computations (22.2% saved)

series29.0ms (1.7%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

25.0ms

(+.f64 x 1/3)

Compiler

Compiled 33 to 30 computations (9.1% saved)

simplify86.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4778	104
1	4778	104

prune16.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Error

Counts

19 → 3

Compiler

Compiled 110 to 86 computations (21.8% saved)

localize4.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/3 x)
0.0b	(sqrt.f64 (+.f64 1/3 x))
0.0b	(sqrt.f64 (+.f64 1/3 x))
0.1b	(*.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (+.f64 1/3 x)))

rewrite141.0ms (8.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`*-un-lft-identity_binary64_7921` `sqrt-prod_binary64_7937`
30×	`add-sqr-sqrt_binary64_7943`
21×	`pow1_binary64_7982`
16×	`sqrt-div_binary64_7938`
14×	`add-cube-cbrt_binary64_7956`
11×	`swap-sqr_binary64_7888`
10×	`pow1/2_binary64_8001` `sqrt-pow1_binary64_7939`
9×	`flip3-+_binary64_7924` `flip-+_binary64_7895` `distribute-lft-out_binary64_7872`
7×	`associate-l_binary64_7862` `associate-r_binary64_7861`
6×	`add-exp-log_binary64_7959` `add-log-exp_binary64_7960` `add-cbrt-cube_binary64_7957`
5×	`pow-prod-up_binary64_7991`
4×	`rem-sqrt-square_binary64_7934` `frac-times_binary64_7931` `unswap-sqr_binary64_7889`
3×	`pow-prod-down_binary64_7992` `pow-sqr_binary64_7894`
2×	`associate-l/_binary64_7864` `associate-r/_binary64_7863`
1×	`pow2_binary64_8002` `pow-plus_binary64_7984` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `sqrt-unprod_binary64_7941` `sqr-abs_binary64_7936` `rem-square-sqrt_binary64_7933` `*-commutative_binary64_7852` `sum-log_binary64_8012` `+-commutative_binary64_7851`

Counts

4 → 107

Calls

4 calls:

12.0ms	(*.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (+.f64 1/3 x)))
3.0ms	(sqrt.f64 (+.f64 1/3 x))
3.0ms	(sqrt.f64 (+.f64 1/3 x))
3.0ms	(+.f64 1/3 x)

Compiler

Compiled 1733 to 1398 computations (19.3% saved)

series139.0ms (8.1%)

Error

Counts

4 → 24

Calls

4 calls:

35.0ms	(sqrt.f64 (+.f64 1/3 x))
34.0ms	(sqrt.f64 (+.f64 1/3 x))
27.0ms	(+.f64 1/3 x)
26.0ms	(*.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (+.f64 1/3 x)))

Compiler

Compiled 604 to 526 computations (12.9% saved)

simplify92.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4902	1108
1	4902	1108

prune106.0ms (6.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	131	3	134

Error

Counts

134 → 3

Compiler

Compiled 1410 to 1126 computations (20.1% saved)

localize4.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1/3 x)
0.0b	(exp.f64 (+.f64 1/3 x))
1.2b	(log.f64 (exp.f64 (+.f64 1/3 x)))

rewrite48.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`*-un-lft-identity_binary64_7921`
8×	`exp-prod_binary64_7973` `add-log-exp_binary64_7960`
6×	`add-cube-cbrt_binary64_7956` `add-sqr-sqrt_binary64_7943`
5×	`log-pow_binary64_8010`
4×	`pow1_binary64_7982` `log-prod_binary64_8007`
3×	`distribute-lft-out_binary64_7872` `add-exp-log_binary64_7959` `add-cbrt-cube_binary64_7957`
2×	`exp-sum_binary64_7967` `sum-log_binary64_8012` `rem-exp-log_binary64_7961`
1×	`rem-log-exp_binary64_7962` `flip3-+_binary64_7924` `flip-+_binary64_7895` `+-commutative_binary64_7851`

Counts

3 → 43

Calls

3 calls:

4.0ms	(log.f64 (exp.f64 (+.f64 1/3 x)))
4.0ms	(exp.f64 (+.f64 1/3 x))
3.0ms	(+.f64 1/3 x)

Compiler

Compiled 432 to 357 computations (17.4% saved)

series173.0ms (10.1%)

Error

Counts

3 → 16

Calls

3 calls:

122.0ms	(log.f64 (exp.f64 (+.f64 1/3 x)))
22.0ms	(+.f64 1/3 x)
19.0ms	(exp.f64 (+.f64 1/3 x))

Compiler

Compiled 252 to 235 computations (6.7% saved)

simplify88.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4852	403
1	4852	403

prune38.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	59	3	62

Error

Counts

62 → 3

Compiler

Compiled 441 to 354 computations (19.7% saved)

regimes46.0ms (2.7%)

Accuracy

Total 0.0b remaining (50.7%)

Threshold costs 0.0b (50.7%)

Compiler

Compiled 184 to 175 computations (4.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

end0.0ms (0%)

sample457.0ms (26.7%)

Algorithm

1×

intervals

Results

138.0ms

8000×

body

128

valid

Compiler

Compiled 87 to 83 computations (4.6% saved)

Details

analyze151.0ms (8.8%)

sample63.0ms (3.7%)

simplify7.0ms (0.4%)

prune3.0ms (0.2%)

localize2.0ms (0.1%)

rewrite14.0ms (0.8%)

series29.0ms (1.7%)

simplify86.0ms (5.1%)

prune16.0ms (1%)

localize4.0ms (0.2%)

rewrite141.0ms (8.3%)

series139.0ms (8.1%)

simplify92.0ms (5.4%)

prune106.0ms (6.2%)

localize4.0ms (0.3%)

rewrite48.0ms (2.8%)

series173.0ms (10.1%)

simplify88.0ms (5.2%)

prune38.0ms (2.2%)

regimes46.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample457.0ms (26.7%)

Profiling