Details

analyze93.0ms (5.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4
0	1	1
1	1	1

Search

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

Compiler

Compiled 6 to 6 computations (0% saved)

sample17.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	4
1	10	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)

rewrite15.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

4×	`add-sqr-sqrt_binary64_7261` `*-un-lft-identity_binary64_7239`
3×	`add-log-exp_binary64_7278` `cancel-sign-sub-inv_binary64_7205`
2×	`add-cube-cbrt_binary64_7274`
1×	`diff-log_binary64_7331` `pow1_binary64_7300` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `flip3--_binary64_7243` `sub-neg_binary64_7232` `flip--_binary64_7214` `difference-of-squares_binary64_7208` `distribute-lft-out--_binary64_7191`

Counts

1 → 16

Calls

1 calls:

4.0ms

(-.f64 x 1/3)

Compiler

Compiled 136 to 108 computations (20.6% saved)

series22.0ms (1.3%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

18.0ms

(-.f64 x 1/3)

Compiler

Compiled 33 to 30 computations (9.1% saved)

simplify101.0ms (6%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4802	124
1	4802	124

prune17.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Error

Counts

23 → 3

Compiler

Compiled 134 to 103 computations (23.1% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (pow.f64 x 3) 1/27)
0.0b	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))
0.2b	(*.f64 x (+.f64 x 1/3))
20.3b	(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))

rewrite182.0ms (10.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

57×	`add-sqr-sqrt_binary64_7261`
32×	`*-un-lft-identity_binary64_7239`
24×	`times-frac_binary64_7245`
20×	`add-cube-cbrt_binary64_7274` `difference-of-squares_binary64_7208`
8×	`add-exp-log_binary64_7277` `add-log-exp_binary64_7278` `add-cbrt-cube_binary64_7275` `associate-/l*_binary64_7184`
6×	`pow1_binary64_7300`
5×	`unpow-prod-down_binary64_7318` `cube-prod_binary64_7267` `sqr-pow_binary64_7211` `distribute-lft-out--_binary64_7191`
4×	`associate-r_binary64_7179`
3×	`flip3-+_binary64_7242` `flip-+_binary64_7213` `associate-/r_binary64_7183` `associate-l*_binary64_7180` `cancel-sign-sub-inv_binary64_7205`
2×	`flip3--_binary64_7243` `associate-/l/_binary64_7186` `flip--_binary64_7214` `associate-/r/_binary64_7185` `distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188` `associate-*r/_binary64_7181` `associate-+r+_binary64_7171`
1×	`div-exp_binary64_7290` `cbrt-undiv_binary64_7273` `frac-2neg_binary64_7250` `div-sub_binary64_7244` `clear-num_binary64_7238` `div-inv_binary64_7236` `pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `unswap-sqr_binary64_7207` `distribute-lft-out_binary64_7190` `*-commutative_binary64_7170` `sum-log_binary64_7330` `+-commutative_binary64_7169` `diff-log_binary64_7331` `sub-neg_binary64_7232`

Counts

4 → 107

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
7.0ms	(-.f64 (pow.f64 x 3) 1/27)
6.0ms	(*.f64 x (+.f64 x 1/3))
3.0ms	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))

Compiler

Compiled 2535 to 1999 computations (21.1% saved)

series234.0ms (14%)

Error

Counts

4 → 27

Calls

4 calls:

77.0ms	(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
57.0ms	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))
48.0ms	(-.f64 (pow.f64 x 3) 1/27)
35.0ms	(*.f64 x (+.f64 x 1/3))

Compiler

Compiled 672 to 564 computations (16.1% saved)

simplify71.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5482	2441

prune152.0ms (9.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	134	3	137

Error

Counts

137 → 3

Compiler

Compiled 2574 to 2021 computations (21.5% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 -1/3 x)
0.0b	(exp.f64 (+.f64 -1/3 x))
0.5b	(log.f64 (exp.f64 (+.f64 -1/3 x)))

rewrite47.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`*-un-lft-identity_binary64_7239`
8×	`exp-prod_binary64_7291` `add-log-exp_binary64_7278`
6×	`add-cube-cbrt_binary64_7274` `add-sqr-sqrt_binary64_7261`
5×	`log-pow_binary64_7328`
4×	`pow1_binary64_7300` `log-prod_binary64_7325`
3×	`distribute-lft-out_binary64_7190` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
2×	`exp-sum_binary64_7285` `sum-log_binary64_7330` `rem-exp-log_binary64_7279`
1×	`rem-log-exp_binary64_7280` `flip3-+_binary64_7242` `flip-+_binary64_7213` `+-commutative_binary64_7169`

Counts

3 → 43

Calls

3 calls:

5.0ms	(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)

series130.0ms (7.8%)

Error

Counts

3 → 16

Calls

3 calls:

86.0ms	(log.f64 (exp.f64 (+.f64 -1/3 x)))
21.0ms	(+.f64 -1/3 x)
15.0ms	(exp.f64 (+.f64 -1/3 x))

Compiler

Compiled 252 to 235 computations (6.7% saved)

simplify94.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4850	403
1	4850	403

prune34.0ms (2.1%)

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 353 computations (20% saved)

regimes33.0ms (1.9%)

Accuracy

Total 0.0b remaining (69.5%)

Threshold costs 0.0b (69.5%)

Compiler

Compiled 94 to 93 computations (1.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	14	4

end0.0ms (0%)

sample406.0ms (24.2%)

Algorithm

1×

intervals

Results

141.0ms

8000×

body

128

valid

Compiler

Compiled 42 to 42 computations (0% saved)

Details

analyze93.0ms (5.6%)

sample17.0ms (1%)

simplify7.0ms (0.4%)

prune3.0ms (0.2%)

localize2.0ms (0.1%)

rewrite15.0ms (0.9%)

series22.0ms (1.3%)

simplify101.0ms (6%)

prune17.0ms (1%)

localize9.0ms (0.5%)

rewrite182.0ms (10.9%)

series234.0ms (14%)

simplify71.0ms (4.2%)

prune152.0ms (9.1%)

localize5.0ms (0.3%)

rewrite47.0ms (2.8%)

series130.0ms (7.8%)

simplify94.0ms (5.6%)

prune34.0ms (2.1%)

regimes33.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample406.0ms (24.2%)

Profiling