Details

analyze449.0ms (9.6%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
37.4%	49.9%	12.6%	10
43.7%	43.7%	12.6%	11
49.1%	38.2%	12.6%	12
54.6%	26.5%	18.9%	13
58.5%	22.6%	18.9%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample868.0ms (18.5%)

Results

764.0ms	8256×	body	128	valid
62.0ms	703×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`associate-r_binary64`
1×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	8
2	16	8
3	17	8
4	17	8

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.1b	(fma.f64 z (*.f64 y z) x)
▶	0.1b	(+.f64 x (.f64 (.f64 y z) z))

Compiler

Compiled 54 to 29 computations (46.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 y z) z))
✓	0.2b	(.f64 (.f64 y z) z)

series22.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

11.0ms	(.f64 (.f64 y z) z)
11.0ms	(+.f64 x (.f64 (.f64 y z) z))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`

Counts

2 → 36

Calls

2 calls:

4.0ms	(+.f64 x (.f64 (.f64 y z) z))
4.0ms	(.f64 (.f64 y z) z)

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

781×	`fma-def_binary64`
602×	`fma-neg_binary64`
542×	`distribute-rgt-in_binary64`
454×	`distribute-lft-in_binary64`
284×	`unswap-sqr_binary64`

Counts

96 → 57

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	798
1	172	780
2	567	775
3	1235	773
4	2737	773
5	4684	773
6	4942	773

prune38.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	52	7	59

Error

0.0b

Counts

59 → 7

Alt Table

Status	Error	Program
	0.5b	(+.f64 x (.f64 (.f64 (.f64 y z) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
	5.5b	(fma.f64 y (*.f64 z z) x)
	30.1b	(+.f64 x (.f64 (.f64 y (pow.f64 z 3/2)) (sqrt.f64 z)))
	21.9b	(+.f64 x (.f64 (sqrt.f64 (.f64 (.f64 y z) z)) (sqrt.f64 (.f64 (*.f64 y z) z))))
▶	0.4b	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 (.f64 y z) z)) (cbrt.f64 (.f64 (.f64 y z) z))) (cbrt.f64 (.f64 (.f64 y z) z))))
	16.8b	(+.f64 x (cbrt.f64 (pow.f64 (.f64 y (.f64 z z)) 3)))

Compiler

Compiled 905 to 296 computations (67.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 y z) z)
✓	0.2b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 y z) z)) (cbrt.f64 (.f64 (.f64 y z) z))) (cbrt.f64 (.f64 (.f64 y z) z)))
✓	0.4b	(.f64 (cbrt.f64 (.f64 (.f64 y z) z)) (cbrt.f64 (.f64 (*.f64 y z) z)))
✓	19.8b	(cbrt.f64 (.f64 (.f64 y z) z))

series1.3s (26.8%)

Counts

3 → 72

Calls

3 calls:

787.0ms

(*.f64 (cbrt.f64 (*.f64 (*.f64 y z) z)) (cbrt.f64 (*.f64 (*.f64 y z) z)))

447.0ms

(cbrt.f64 (*.f64 (*.f64 y z) z))

22.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 y z) z)) (cbrt.f64 (*.f64 (*.f64 y z) z))) (cbrt.f64 (*.f64 (*.f64 y z) z)))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
16×	`pow1/3_binary64`
11×	`pow-prod-up_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 79

Calls

3 calls:

7.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 y z) z)) (cbrt.f64 (*.f64 (*.f64 y z) z))) (cbrt.f64 (*.f64 (*.f64 y z) z)))

4.0ms

(*.f64 (cbrt.f64 (*.f64 (*.f64 y z) z)) (cbrt.f64 (*.f64 (*.f64 y z) z)))

2.0ms

(cbrt.f64 (*.f64 (*.f64 y z) z))

simplify119.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

651×	`unswap-sqr_binary64`
407×	`fma-neg_binary64`
356×	`fma-def_binary64`
202×	`exp-prod_binary64`
202×	`log-prod_binary64`

Counts

151 → 130

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	2220
1	278	1992
2	681	1634
3	1466	1454
4	4527	1450
5	4958	1450
6	4975	1450

prune255.0ms (5.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	270	3	273
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	273	7	280

Error

Counts

280 → 7

Alt Table

Status	Error	Program
	0.4b	(+.f64 x (pow.f64 (cbrt.f64 (.f64 (.f64 y z) z)) 3))
▶	0.3b	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 y z)) (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 (.f64 y z) z)))) (cbrt.f64 (.f64 (.f64 y z) z))))
	30.1b	(+.f64 x (.f64 (.f64 y (pow.f64 z 3/2)) (sqrt.f64 z)))
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
	21.9b	(+.f64 x (.f64 (sqrt.f64 (.f64 (.f64 y z) z)) (sqrt.f64 (.f64 (*.f64 y z) z))))
	16.8b	(+.f64 x (cbrt.f64 (pow.f64 (.f64 y (.f64 z z)) 3)))
	0.4b	(+.f64 x (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 y z) z)) (cbrt.f64 (.f64 (.f64 y z) z))) (cbrt.f64 (.f64 y z))) (cbrt.f64 z)))

Compiler

Compiled 7174 to 1648 computations (77% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 z) (cbrt.f64 (.f64 (*.f64 y z) z)))
✓	0.6b	(cbrt.f64 z)
✓	11.3b	(cbrt.f64 (*.f64 y z))
	19.8b	(cbrt.f64 (.f64 (.f64 y z) z))

series911.0ms (19.4%)

Counts

3 → 60

Calls

3 calls:

514.0ms	(.f64 (cbrt.f64 z) (cbrt.f64 (.f64 (*.f64 y z) z)))
363.0ms	(cbrt.f64 (*.f64 y z))
33.0ms	(cbrt.f64 z)

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`

Counts

3 → 50

Calls

3 calls:

4.0ms	(.f64 (cbrt.f64 z) (cbrt.f64 (.f64 (*.f64 y z) z)))
4.0ms	(cbrt.f64 (*.f64 y z))
1.0ms	(cbrt.f64 z)

simplify81.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
564×	`associate-l_binary64`
526×	`associate-r_binary64`
406×	`fma-neg_binary64`
379×	`unswap-sqr_binary64`

Counts

110 → 93

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1230
1	197	1226
2	533	1133
3	2080	1042
4	4433	1042
5	5207	1042

prune123.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	149	7	156

Error

Counts

156 → 7

Alt Table

Status	Error	Program
	0.4b	(+.f64 x (pow.f64 (cbrt.f64 (.f64 (.f64 y z) z)) 3))
✓	0.3b	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 y z)) (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 (.f64 y z) z)))) (cbrt.f64 (.f64 (.f64 y z) z))))
	30.1b	(+.f64 x (.f64 (.f64 y (pow.f64 z 3/2)) (sqrt.f64 z)))
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
	21.9b	(+.f64 x (.f64 (sqrt.f64 (.f64 (.f64 y z) z)) (sqrt.f64 (.f64 (*.f64 y z) z))))
	16.8b	(+.f64 x (cbrt.f64 (pow.f64 (.f64 y (.f64 z z)) 3)))
▶	0.4b	(+.f64 x (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 y z) z)) (cbrt.f64 (.f64 (.f64 y z) z))) (cbrt.f64 (.f64 y z))) (cbrt.f64 z)))

Compiler

Compiled 4353 to 1119 computations (74.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f64 (cbrt.f64 (.f64 (.f64 y z) z)) (cbrt.f64 (.f64 (*.f64 y z) z)))
	0.6b	(cbrt.f64 z)
	11.3b	(cbrt.f64 (*.f64 y z))
	19.8b	(cbrt.f64 (.f64 (.f64 y z) z))

prune140.0ms (3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	156	7	163

Error

Counts

163 → 7

Alt Table

Status	Error	Program
	0.4b	(+.f64 x (pow.f64 (cbrt.f64 (.f64 (.f64 y z) z)) 3))
✓	0.3b	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 y z)) (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 (.f64 y z) z)))) (cbrt.f64 (.f64 (.f64 y z) z))))
	30.1b	(+.f64 x (.f64 (.f64 y (pow.f64 z 3/2)) (sqrt.f64 z)))
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
	21.9b	(+.f64 x (.f64 (sqrt.f64 (.f64 (.f64 y z) z)) (sqrt.f64 (.f64 (*.f64 y z) z))))
	16.8b	(+.f64 x (cbrt.f64 (pow.f64 (.f64 y (.f64 z z)) 3)))
✓	0.4b	(+.f64 x (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 y z) z)) (cbrt.f64 (.f64 (.f64 y z) z))) (cbrt.f64 (.f64 y z))) (cbrt.f64 z)))

Compiler

Compiled 4346 to 1241 computations (71.4% saved)

regimes183.0ms (3.9%)

Accuracy

Total 0.1b remaining (61.4%)

Threshold costs 0.1b (61.4%)

Counts

30 → 1

Compiler

Compiled 3259 to 1670 computations (48.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end81.0ms (1.7%)

Compiler: Compiled 137 to 75 computations (45.3% saved)

Details

analyze449.0ms (9.6%)

sample868.0ms (18.5%)

simplify6.0ms (0.1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series22.0ms (0.5%)

rewrite9.0ms (0.2%)

simplify74.0ms (1.6%)

prune38.0ms (0.8%)

localize8.0ms (0.2%)

series1.3s (26.8%)

rewrite22.0ms (0.5%)

simplify119.0ms (2.5%)

prune255.0ms (5.4%)

localize11.0ms (0.2%)

series911.0ms (19.4%)

rewrite10.0ms (0.2%)

simplify81.0ms (1.7%)

prune123.0ms (2.6%)

localize13.0ms (0.3%)

prune140.0ms (3%)

regimes183.0ms (3.9%)

simplify2.0ms (0%)

end81.0ms (1.7%)

Profiling