Details

analyze92.0ms (7.7%)

Algorithm

1×	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%	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)

sample9.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify7.0ms (0.6%)

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 (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x 1/3)

rewrite4.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_7619` `*-un-lft-identity_binary64_7580`
1×	`add-cbrt-cube_binary64_7616` `add-sqr-sqrt_binary64_7602` `pow1_binary64_7641` `+-commutative_binary64_7510` `flip-+_binary64_7554` `distribute-lft-out_binary64_7531` `add-cube-cbrt_binary64_7615` `sum-log_binary64_7671` `add-exp-log_binary64_7618` `flip3-+_binary64_7583`

Counts

1 → 12

Calls

1 calls:

4.0ms

(+.f64 x 1/3)

series11.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

11.0ms

(+.f64 x 1/3)

simplify91.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4778	101
1	4778	101

prune10.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Error

Counts

16 → 3

Compiler

Compiled 111 to 88 computations (20.7% saved)

localize8.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x 1/3)
0.0b	(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
0.2b	(*.f64 x (-.f64 x 1/3))
21.0b	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

rewrite33.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64_7580`
26×	`add-sqr-sqrt_binary64_7602`
20×	`add-cube-cbrt_binary64_7615`
15×	`cancel-sign-sub-inv_binary64_7546`
12×	`times-frac_binary64_7586`
8×	`associate-+r+_binary64_7512` `add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `distribute-lft-in_binary64_7529` `distribute-rgt-in_binary64_7530` `add-exp-log_binary64_7618`
6×	`pow1_binary64_7641`
5×	`associate-r_binary64_7520` `sub-neg_binary64_7573`
4×	`associate-/l*_binary64_7525` `distribute-lft-out_binary64_7531`
3×	`associate-/r_binary64_7524` `flip-+_binary64_7554` `associate-l*_binary64_7521` `flip3-+_binary64_7583`
2×	`distribute-lft-out--_binary64_7532` `associate-/l/_binary64_7527` `associate-/r/_binary64_7526` `flip--_binary64_7555` `associate-*r/_binary64_7522` `flip3--_binary64_7584` `difference-of-squares_binary64_7549`
1×	`pow-prod-down_binary64_7651` `unswap-sqr_binary64_7548` `frac-2neg_binary64_7591` `div-inv_binary64_7577` `clear-num_binary64_7579` `diff-log_binary64_7672` `+-commutative_binary64_7510` `cbrt-unprod_binary64_7613` `prod-exp_binary64_7629` `cbrt-undiv_binary64_7614` `div-exp_binary64_7631` `sum-log_binary64_7671` `*-commutative_binary64_7511`

Counts

4 → 100

Calls

4 calls:

10.0ms	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
7.0ms	(*.f64 x (-.f64 x 1/3))
5.0ms	(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
4.0ms	(-.f64 x 1/3)

series122.0ms (10.2%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
24.0ms	(*.f64 x (-.f64 x 1/3))
12.0ms	(-.f64 x 1/3)
10.0ms	(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))

simplify69.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5087	1706

prune117.0ms (9.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Error

Counts

115 → 3

Compiler

Compiled 2124 to 1645 computations (22.6% saved)

localize4.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite14.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_7580`
8×	`add-log-exp_binary64_7619` `exp-prod_binary64_7632`
6×	`add-sqr-sqrt_binary64_7602` `add-cube-cbrt_binary64_7615`
5×	`log-pow_binary64_7669`
4×	`log-prod_binary64_7666` `pow1_binary64_7641`
3×	`add-cbrt-cube_binary64_7616` `distribute-lft-out_binary64_7531` `add-exp-log_binary64_7618`
2×	`rem-exp-log_binary64_7620` `exp-sum_binary64_7626` `sum-log_binary64_7671`
1×	`+-commutative_binary64_7510` `flip-+_binary64_7554` `rem-log-exp_binary64_7621` `flip3-+_binary64_7583`

Counts

3 → 43

Calls

3 calls:

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

series108.0ms (9.1%)

Counts

3 → 9

Calls

3 calls:

90.0ms	(log.f64 (exp.f64 (+.f64 x 1/3)))
12.0ms	(+.f64 x 1/3)
6.0ms	(exp.f64 (+.f64 x 1/3))

simplify117.0ms (9.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4853	363
1	4853	363

prune30.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	52	3	55

Error

Counts

55 → 3

Compiler

Compiled 404 to 327 computations (19.1% saved)

regimes21.0ms (1.7%)

Accuracy

Total 0.0b remaining (74.9%)

Threshold costs 0.0b (74.9%)

Compiler

Compiled 64 to 60 computations (6.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

end0.0ms (0%)

sample321.0ms (26.9%)

Algorithm

1×

intervals

Results

141.0ms

8000×

body

128

valid

Compiler

Compiled 35 to 34 computations (2.9% saved)

Details

analyze92.0ms (7.7%)

sample9.0ms (0.7%)

simplify7.0ms (0.6%)

prune3.0ms (0.2%)

localize2.0ms (0.2%)

rewrite4.0ms (0.3%)

series11.0ms (0.9%)

simplify91.0ms (7.6%)

prune10.0ms (0.9%)

localize8.0ms (0.7%)

rewrite33.0ms (2.8%)

series122.0ms (10.2%)

simplify69.0ms (5.8%)

prune117.0ms (9.8%)

localize4.0ms (0.4%)

rewrite14.0ms (1.2%)

series108.0ms (9.1%)

simplify117.0ms (9.8%)

prune30.0ms (2.5%)

regimes21.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample321.0ms (26.9%)

Profiling