Details

analyze47.0ms (1.8%)

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
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 9 to 7 computations (22.2% saved)

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	12	9
3	12	9

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.7b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	14.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

14.4b

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

rewrite32.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

7×	`add-cube-cbrt_binary64`
5×	`cbrt-div_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`pow1/3_binary64`
3×	`log1p-expm1-u_binary64`

Counts

1 → 35

Calls

1 calls:

12.0ms

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

Compiler

Compiled 281 to 208 computations (26% saved)

series39.0ms (1.5%)

Error

6.2b

Counts

1 → 6

Calls

1 calls:

35.0ms

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

Compiler

Compiled 253 to 217 computations (14.2% saved)

simplify76.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

819×	`div-sub_binary64`
705×	`fma-def_binary64`
701×	`fma-neg_binary64`
333×	`times-frac_binary64`
213×	`sub-neg_binary64`

Counts

41 → 26

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	67	419
1	119	419
2	197	413
3	484	379
4	1150	369
5	2720	369
6	4112	369
7	4948	369

prune21.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	20	6	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	7	27

Error

0.3b

Counts

27 → 7

Alt Table

Status	Error	Program
	14.8b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	14.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 a 2))))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 g)))
	36.9b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	15.1b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 a 2))) (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))

Compiler

Compiled 391 to 293 computations (25.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite81.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

28×	`add-cube-cbrt_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`
10×	`pow1/3_binary64`
9×	`log1p-expm1-u_binary64`

Counts

3 → 107

Calls

3 calls:

13.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
10.0ms	(cbrt.f64 g)
10.0ms	(cbrt.f64 (*.f64 a 2))

Compiler

Compiled 980 to 626 computations (36.1% saved)

series89.0ms (3.4%)

Error

0.3b

Counts

3 → 12

Calls

3 calls:

60.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
14.0ms	(cbrt.f64 (*.f64 a 2))
12.0ms	(cbrt.f64 g)

Compiler

Compiled 443 to 374 computations (15.6% saved)

simplify90.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

705×	`times-frac_binary64`
396×	`fma-def_binary64`
337×	`associate-/l*_binary64`
310×	`associate-l_binary64`
273×	`associate-r_binary64`

Counts

119 → 37

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1023
1	222	956
2	643	915
3	3884	902
4	4992	902
5	4940	902

prune27.0ms (1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	31	6	37
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	31	13	44

Error

0.1b

Counts

44 → 13

Alt Table

Status	Error	Program
✓	14.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	1.5b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (.f64 a 2)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 a 2))) (cbrt.f64 (cbrt.f64 (.f64 a 2)))))
	29.3b	(.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 a 2)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))))
	15.0b	(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2))) 3))
	14.8b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 -1 a))) (cbrt.f64 -2))
	15.2b	(.f64 (cbrt.f64 (.f64 (pow.f64 a -1) (pow.f64 (/.f64 -1 g) -1))) (/.f64 (cbrt.f64 -1) (cbrt.f64 2)))
▶	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 a 2))))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 g)))
	36.9b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	15.1b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 a 2))) (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))

Compiler

Compiled 620 to 475 computations (23.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite127.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`add-cube-cbrt_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64`
14×	`pow1/3_binary64`
12×	`log1p-expm1-u_binary64`

Counts

4 → 156

Calls

4 calls:

14.0ms	(/.f64 1 (cbrt.f64 (*.f64 a 2)))
13.0ms	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 a 2))))
12.0ms	(cbrt.f64 (*.f64 a 2))
9.0ms	(cbrt.f64 g)

Compiler

Compiled 1673 to 1220 computations (27.1% saved)

series96.0ms (3.6%)

Error

0.1b

Counts

4 → 15

Calls

4 calls:

45.0ms	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 a 2))))
20.0ms	(/.f64 1 (cbrt.f64 (*.f64 a 2)))
13.0ms	(cbrt.f64 (*.f64 a 2))
12.0ms	(cbrt.f64 g)

Compiler

Compiled 591 to 504 computations (14.7% saved)

simplify102.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-def_binary64`
484×	`fma-neg_binary64`
376×	`associate-/l*_binary64`
340×	`associate-/r*_binary64`
245×	`unswap-sqr_binary64`

Counts

171 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	1547
1	308	1379
2	956	1294
3	3426	1216
4	4962	1216
5	5268	1216

prune44.0ms (1.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	2	8	10
Picked	0	1	1
Done	1	1	2
Total	88	15	103

Error

0.1b

Counts

103 → 15

Alt Table

Status	Error	Program
	36.1b	(.f64 (cbrt.f64 g) (.f64 (pow.f64 (cbrt.f64 (.f64 a 2)) -1/2) (pow.f64 (cbrt.f64 (.f64 a 2)) -1/2)))
	15.0b	(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2))) 3))
✓	14.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
✓	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 a 2))))
	1.2b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -2)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 g)))
	1.1b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2))))
	29.3b	(.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 a 2)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))))
	14.8b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 -1 a))) (cbrt.f64 -2))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	36.9b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	1.5b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (.f64 a 2)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 a 2))) (cbrt.f64 (cbrt.f64 (.f64 a 2)))))

Compiler

Compiled 1127 to 843 computations (25.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite83.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`pow1/3_binary64`
19×	`add-cube-cbrt_binary64`
16×	`add-sqr-sqrt_binary64`
10×	`cbrt-div_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 107

Calls

3 calls:

13.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
11.0ms	(cbrt.f64 (/.f64 1/2 a))
10.0ms	(cbrt.f64 g)

Compiler

Compiled 924 to 594 computations (35.7% saved)

series68.0ms (2.6%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

39.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
14.0ms	(cbrt.f64 (/.f64 1/2 a))
11.0ms	(cbrt.f64 g)

Compiler

Compiled 453 to 384 computations (15.2% saved)

simplify84.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

928×	`log-prod_binary64`
610×	`associate-l_binary64`
410×	`fma-def_binary64`
399×	`associate-r_binary64`
335×	`unswap-sqr_binary64`

Counts

119 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	921
1	222	873
2	602	834
3	2172	784
4	4468	784
5	5134	784

prune28.0ms (1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	3	9	12
Picked	0	1	1
Done	1	1	2
Total	50	15	65

Error

0.0b

Counts

65 → 15

Alt Table

Status	Error	Program
	14.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 g)))
	1.1b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2))))
	36.9b	(.f64 (sqrt.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a)))) (sqrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))
	36.1b	(.f64 (cbrt.f64 g) (.f64 (pow.f64 (cbrt.f64 (.f64 a 2)) -1/2) (pow.f64 (cbrt.f64 (.f64 a 2)) -1/2)))
	14.8b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 -1 a))) (cbrt.f64 -2))
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (cbrt.f64 g))))
	1.2b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -2)))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 1/2) (cbrt.f64 g))))
	1.5b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (.f64 a 2)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 a 2))) (cbrt.f64 (cbrt.f64 (.f64 a 2)))))

Compiler

Compiled 559 to 409 computations (26.8% saved)

regimes774.0ms (29.2%)

Accuracy

Total 0.8b remaining (91.6%)

Threshold costs 0.8b (91.6%)

Compiler

Compiled 10795 to 8544 computations (20.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	19	15
2	25	15
3	29	15
4	30	15
5	30	15

end1.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

sample682.0ms (25.8%)

Algorithm

1×

intervals

Results

301.0ms

8000×

body

128

valid

Compiler

Compiled 224 to 173 computations (22.8% saved)

Details

analyze47.0ms (1.8%)

sample17.0ms (0.7%)

simplify9.0ms (0.3%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

rewrite32.0ms (1.2%)

series39.0ms (1.5%)

simplify76.0ms (2.9%)

prune21.0ms (0.8%)

localize6.0ms (0.2%)

rewrite81.0ms (3.1%)

series89.0ms (3.4%)

simplify90.0ms (3.4%)

prune27.0ms (1%)

localize7.0ms (0.3%)

rewrite127.0ms (4.8%)

series96.0ms (3.6%)

simplify102.0ms (3.9%)

prune44.0ms (1.7%)

localize6.0ms (0.2%)

rewrite83.0ms (3.1%)

series68.0ms (2.6%)

simplify84.0ms (3.2%)

prune28.0ms (1%)

regimes774.0ms (29.2%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample682.0ms (25.8%)

Profiling