Details

analyze24.0ms (0.4%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample13.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify168.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

prune2.0ms (0%)

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

Merged error: 16.4b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

16.1b

(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64_3178`
3×	`times-frac_binary64_3153` `*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
1×	`cbrt-div_binary64_3179` `pow1/3_binary64_3229` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `add-log-exp_binary64_3186` `div-inv_binary64_3144`

Counts

1 → 16

Calls

1 calls:

4.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

series139.0ms (2.4%)

Counts

1 → 3

Calls

1 calls:

139.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5015	244

prune30.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	11	8	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	9	20

Merged error: 0.2b

Counts

20 → 9

Compiler

Compiled 293 to 222 computations (24.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.4b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.5b	(cbrt.f64 g)
0.6b	(cbrt.f64 (*.f64 2 a))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64_3178`
24×	`times-frac_binary64_3153`
21×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
6×	`associate-/l*_binary64_3092`
5×	`add-exp-log_binary64_3185`
4×	`associate-/r*_binary64_3091`
3×	`add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `add-log-exp_binary64_3186`
2×	`pow1/3_binary64_3229`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `div-inv_binary64_3144`

Counts

3 → 66

Calls

3 calls:

5.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
3.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)

series517.0ms (8.8%)

Counts

3 → 9

Calls

3 calls:

190.0ms	(cbrt.f64 (*.f64 2 a))
177.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
150.0ms	(cbrt.f64 g)

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4896	1128
1	4896	1128

prune86.0ms (1.5%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	61	14	75
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	64	20	84

Merged error: 0.0b

Counts

84 → 20

Compiler

Compiled 1196 to 784 computations (34.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
0.3b	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
0.5b	(cbrt.f64 g)
0.6b	(cbrt.f64 (*.f64 2 a))

rewrite45.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`times-frac_binary64_3153`
111×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
98×	`cbrt-prod_binary64_3178`
34×	`associate-/r*_binary64_3091`
17×	`add-exp-log_binary64_3185`
8×	`div-exp_binary64_3198`
7×	`add-cbrt-cube_binary64_3183` `associate-/l*_binary64_3092`
6×	`div-inv_binary64_3144`
5×	`pow1_binary64_3208`
4×	`cbrt-undiv_binary64_3181` `add-log-exp_binary64_3186`
2×	`clear-num_binary64_3146` `pow1/3_binary64_3229` `frac-2neg_binary64_3158` `1-exp_binary64_3191` `rec-exp_binary64_3197`
1×	`inv-pow_binary64_3232` `pow-flip_binary64_3221` `associate-/r/_binary64_3093`

Counts

4 → 202

Calls

4 calls:

10.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
5.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)

series630.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt.f64 (*.f64 2 a))
159.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
156.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
137.0ms	(cbrt.f64 g)

simplify99.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4895	4401
1	4895	4401

prune228.0ms (3.9%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	209	5	214
Fresh	4	13	17
Picked	1	0	1
Done	0	2	2
Total	214	20	234

Merged error: 0.0b

Counts

234 → 20

Compiler

Compiled 3772 to 2511 computations (33.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (cbrt.f64 g))
0.4b	(/.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (/.f64 1 (cbrt.f64 g)))
0.5b	(cbrt.f64 g)
0.6b	(cbrt.f64 (*.f64 2 a))

rewrite116.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

952×	`times-frac_binary64_3153`
425×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
238×	`cbrt-prod_binary64_3178`
48×	`add-exp-log_binary64_3185`
42×	`div-inv_binary64_3144`
34×	`div-exp_binary64_3198`
28×	`associate-/r*_binary64_3091`
19×	`associate-/l*_binary64_3092`
13×	`add-cbrt-cube_binary64_3183`
9×	`cbrt-undiv_binary64_3181` `1-exp_binary64_3191` `rec-exp_binary64_3197`
5×	`pow1_binary64_3208`
4×	`add-log-exp_binary64_3186`
3×	`pow1/3_binary64_3229`
2×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `pow-flip_binary64_3221`
1×	`inv-pow_binary64_3232` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093`

Counts

4 → 486

Calls

4 calls:

20.0ms	(/.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (/.f64 1 (cbrt.f64 g)))
4.0ms	(/.f64 1 (cbrt.f64 g))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)

series663.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt.f64 (*.f64 2 a))
161.0ms	(cbrt.f64 g)
160.0ms	(/.f64 1 (cbrt.f64 g))
155.0ms	(/.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (/.f64 1 (cbrt.f64 g)))

simplify203.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

498 → 498

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4927	13002
1	4927	13002

prune724.0ms (12.3%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	495	3	498
Fresh	3	14	17
Picked	0	1	1
Done	0	2	2
Total	498	20	518

Merged error: 0.0b

Counts

518 → 20

Compiler

Compiled 9358 to 6404 computations (31.6% saved)

regimes569.0ms (9.6%)

Compiler: Compiled 4964 to 4317 computations (13% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample1.5s (24.9%)

Algorithm

1×

intervals

Results

222.0ms

8000×

body

128

valid

Compiler

Compiled 970 to 845 computations (12.9% saved)

Details

analyze24.0ms (0.4%)

sample13.0ms (0.2%)

simplify168.0ms (2.9%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series139.0ms (2.4%)

simplify66.0ms (1.1%)

prune30.0ms (0.5%)

localize6.0ms (0.1%)

rewrite14.0ms (0.2%)

series517.0ms (8.8%)

simplify58.0ms (1%)

prune86.0ms (1.5%)

localize8.0ms (0.1%)

rewrite45.0ms (0.8%)

series630.0ms (10.7%)

simplify99.0ms (1.7%)

prune228.0ms (3.9%)

localize9.0ms (0.2%)

rewrite116.0ms (2%)

series663.0ms (11.2%)

simplify203.0ms (3.4%)

prune724.0ms (12.3%)

regimes569.0ms (9.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (24.9%)

Profiling