Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	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 37 to 29 computations (21.6% saved)

sample1.4s (27.5%)

Results

1.3s

8256×

body

128

valid

Compiler

Compiled 110 to 86 computations (21.8% saved)

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1189×	`distribute-rgt-in_binary64`
1108×	`fma-def_binary64`
1005×	`distribute-lft-in_binary64`
549×	`times-frac_binary64`
430×	`distribute-rgt-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	23	48
2	48	46
3	118	42
4	280	42
5	394	42
6	660	42
7	1286	38
8	1638	36
9	2219	36
10	2481	36
11	2637	36
12	2677	36
13	2497	36
14	5129	36

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))

Compiler

Compiled 133 to 103 computations (22.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
✓	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
✓	0.0b	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
✓	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

series18.0ms (0.4%)

Counts

4 → 48

Calls

4 calls:

10.0ms	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
3.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
3.0ms	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
2.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-cbrt-cube_binary64`
45×	`add-exp-log_binary64`
34×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
18×	`add-sqr-sqrt_binary64`

Counts

4 → 128

Calls

4 calls:

12.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
5.0ms	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
5.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
3.0ms	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))

simplify131.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-def_binary64`
599×	`fma-neg_binary64`
446×	`cancel-sign-sub-inv_binary64`
185×	`distribute-rgt-in_binary64`
175×	`associate-r_binary64`

Counts

176 → 246

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	3331
1	679	2888
2	2248	2681
3	4424	2666
4	4978	2666
5	4938	2666

prune617.0ms (12.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	529	1	530
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	529	2	531

Error

Counts

531 → 2

Alt Table

Status	Error	Program
▶	0.5b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (/.f64 4 (*.f64 (cbrt.f64 (+.f64 t 1)) (cbrt.f64 (+.f64 t 1)))) (/.f64 (+.f64 t 1) t)) (/.f64 t (cbrt.f64 (+.f64 1 t))))))
✓	0.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))

Status

Error

Program

▶

0.5b

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (/.f64 4 (*.f64 (cbrt.f64 (+.f64 t 1)) (cbrt.f64 (+.f64 t 1)))) (/.f64 (+.f64 t 1) t)) (/.f64 t (cbrt.f64 (+.f64 1 t))))))

✓

0.0b

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

Compiler

Compiled 21976 to 17043 computations (22.4% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (/.f64 4 (.f64 (cbrt.f64 (+.f64 t 1)) (cbrt.f64 (+.f64 t 1)))) (/.f64 (+.f64 t 1) t)) (/.f64 t (cbrt.f64 (+.f64 1 t))))
✓	0.3b	(cbrt.f64 (+.f64 1 t))
✓	0.3b	(cbrt.f64 (+.f64 t 1))
✓	0.3b	(*.f64 (cbrt.f64 (+.f64 t 1)) (cbrt.f64 (+.f64 t 1)))

series19.0ms (0.4%)

Counts

4 → 48

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (+.f64 t 1)) (cbrt.f64 (+.f64 t 1)))
4.0ms	(cbrt.f64 (+.f64 t 1))
4.0ms	(cbrt.f64 (+.f64 1 t))
3.0ms	(.f64 (/.f64 (/.f64 4 (.f64 (cbrt.f64 (+.f64 t 1)) (cbrt.f64 (+.f64 t 1)))) (/.f64 (+.f64 t 1) t)) (/.f64 t (cbrt.f64 (+.f64 1 t))))

rewrite289.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Rules

523×	`times-frac_binary64`
295×	`*-un-lft-identity_binary64`
252×	`associate-l_binary64`
247×	`add-sqr-sqrt_binary64`
210×	`cbrt-div_binary64`

Counts

4 → 416

Calls

4 calls:

94.0ms	(.f64 (/.f64 (/.f64 4 (.f64 (cbrt.f64 (+.f64 t 1)) (cbrt.f64 (+.f64 t 1)))) (/.f64 (+.f64 t 1) t)) (/.f64 t (cbrt.f64 (+.f64 1 t))))
10.0ms	(*.f64 (cbrt.f64 (+.f64 t 1)) (cbrt.f64 (+.f64 t 1)))
2.0ms	(cbrt.f64 (+.f64 1 t))
2.0ms	(cbrt.f64 (+.f64 t 1))

simplify289.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

682×	`associate-/r*_binary64`
587×	`times-frac_binary64`
542×	`associate-/l*_binary64`
390×	`associate-/r/_binary64`
242×	`*-commutative_binary64`

Counts

464 → 688

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	669	15819
1	2084	13902
2	5539	13902

prune1.2s (24.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	736	0	736
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	736	2	738

Error

Counts

738 → 2

Alt Table

Status	Error	Program
✓	0.5b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (/.f64 4 (*.f64 (cbrt.f64 (+.f64 t 1)) (cbrt.f64 (+.f64 t 1)))) (/.f64 (+.f64 t 1) t)) (/.f64 t (cbrt.f64 (+.f64 1 t))))))
✓	0.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))

Status

Error

Program

✓

0.5b

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (/.f64 4 (*.f64 (cbrt.f64 (+.f64 t 1)) (cbrt.f64 (+.f64 t 1)))) (/.f64 (+.f64 t 1) t)) (/.f64 t (cbrt.f64 (+.f64 1 t))))))

✓

0.0b

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

Compiler

Compiled 44907 to 34284 computations (23.7% saved)

regimes753.0ms (15.3%)

Accuracy

Total 0.0b remaining (0.8%)

Threshold costs 0.0b (0.8%)

Counts

102 → 1

Compiler

Compiled 13430 to 10640 computations (20.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	18	43
2	17	43

end80.0ms (1.6%)

Compiler: Compiled 141 to 111 computations (21.3% saved)

Details

analyze6.0ms (0.1%)

sample1.4s (27.5%)

simplify78.0ms (1.6%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

series18.0ms (0.4%)

rewrite33.0ms (0.7%)

simplify131.0ms (2.7%)

prune617.0ms (12.5%)

localize17.0ms (0.4%)

series19.0ms (0.4%)

rewrite289.0ms (5.9%)

simplify289.0ms (5.9%)

prune1.2s (24.9%)

regimes753.0ms (15.3%)

simplify2.0ms (0%)

end80.0ms (1.6%)

Profiling