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)

sample1.6s (23.7%)

Results

1.5s

8256×

body

128

valid

Compiler

Compiled 110 to 86 computations (21.8% saved)

simplify76.0ms (1.2%)

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 (0.1%)

Local error

Found 4 expressions with local error:

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

series14.0ms (0.2%)

Counts

4 → 48

Calls

4 calls:

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

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-cbrt-cube_binary64`
47×	`add-exp-log_binary64`
41×	`*-un-lft-identity_binary64`
33×	`times-frac_binary64`
25×	`add-sqr-sqrt_binary64`

Counts

4 → 145

Calls

4 calls:

14.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
8.0ms	(/.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)))))
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))))

simplify121.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

497×	`associate-/l/_binary64`
426×	`cancel-sign-sub-inv_binary64`
285×	`fma-neg_binary64`
243×	`distribute-rgt-in_binary64`
199×	`distribute-lft-in_binary64`

Counts

193 → 281

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	5119
1	778	4531
2	2514	4069
3	5045	4069

prune837.0ms (12.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	565	3	568
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	566	3	569

Error

Counts

569 → 3

Alt Table

Status	Error	Program
	0.0b	(/.f64 (+.f64 1 (/.f64 (.f64 (.f64 2 t) (/.f64 (.f64 2 t) (+.f64 1 t))) (+.f64 1 t))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
	36.2b	(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (-.f64 t 2)))
▶	0.0b	(/.f64 (+.f64 1 (log.f64 (exp.f64 (.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 24128 to 18796 computations (22.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
✓	0.0b	(exp.f64 (.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)))
✓	1.2b	(log.f64 (exp.f64 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

series6.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(exp.f64 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
3.0ms	(log.f64 (exp.f64 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`log-prod_binary64`
3×	`add-cube-cbrt_binary64`

Counts

2 → 28

Calls

2 calls:

1.0ms	(log.f64 (exp.f64 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
1.0ms	(exp.f64 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-neg_binary64`
389×	`cancel-sign-sub-inv_binary64`
344×	`associate-/l*_binary64`
279×	`associate-/r*_binary64`
217×	`associate-/l/_binary64`

Counts

52 → 74

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	1203
1	199	1052
2	531	941
3	1687	914
4	4814	907
5	5074	907

prune718.0ms (10.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	530	0	530
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	530	3	533

Error

Counts

533 → 3

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 1 (/.f64 (.f64 (.f64 2 t) (/.f64 (.f64 2 t) (+.f64 1 t))) (+.f64 1 t))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
	36.2b	(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (-.f64 t 2)))
✓	0.0b	(/.f64 (+.f64 1 (log.f64 (exp.f64 (.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 22923 to 17971 computations (21.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

4.0ms	(/.f64 (.f64 (.f64 2 t) (/.f64 (*.f64 2 t) (+.f64 1 t))) (+.f64 1 t))
3.0ms	(+.f64 1 (/.f64 (.f64 (.f64 2 t) (/.f64 (*.f64 2 t) (+.f64 1 t))) (+.f64 1 t)))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-cbrt-cube_binary64`
31×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64`
11×	`cbrt-unprod_binary64`
11×	`cbrt-undiv_binary64`

Counts

2 → 55

Calls

2 calls:

11.0ms	(/.f64 (.f64 (.f64 2 t) (/.f64 (*.f64 2 t) (+.f64 1 t))) (+.f64 1 t))
8.0ms	(+.f64 1 (/.f64 (.f64 (.f64 2 t) (/.f64 (*.f64 2 t) (+.f64 1 t))) (+.f64 1 t)))

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

749×	`associate-/r*_binary64`
636×	`associate-/r/_binary64`
390×	`fma-def_binary64`
320×	`fma-neg_binary64`
255×	`cancel-sign-sub-inv_binary64`

Counts

79 → 111

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1602
1	451	1480
2	1688	1310
3	4635	1309
4	5024	1309

prune731.0ms (11%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	398	0	398
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	398	3	401

Error

Counts

401 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (/.f64 (.f64 (.f64 2 t) (/.f64 (.f64 2 t) (+.f64 1 t))) (+.f64 1 t))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
▶	36.2b	(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (-.f64 t 2)))
✓	0.0b	(/.f64 (+.f64 1 (log.f64 (exp.f64 (.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 16470 to 12723 computations (22.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (-.f64 t 2)))
✓	0.1b	(*.f64 (pow.f64 t 3) (-.f64 t 2))

series6.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(*.f64 (pow.f64 t 3) (-.f64 t 2))
3.0ms	(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (-.f64 t 2)))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
36×	`prod-diff_binary64`
35×	`add-cube-cbrt_binary64`
26×	`associate-+r+_binary64`

Counts

2 → 106

Calls

2 calls:

8.0ms	(*.f64 (pow.f64 t 3) (-.f64 t 2))
7.0ms	(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (-.f64 t 2)))

simplify107.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-def_binary64`
448×	`distribute-rgt-in_binary64`
432×	`distribute-lft-in_binary64`
380×	`exp-prod_binary64`
166×	`associate-l_binary64`

Counts

130 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	2038
1	331	1664
2	1166	1657
3	4625	1633
4	4898	1633
5	5028	1633

prune143.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	161	3	164

Error

Counts

164 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (/.f64 (.f64 (.f64 2 t) (/.f64 (.f64 2 t) (+.f64 1 t))) (+.f64 1 t))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
✓	36.2b	(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (-.f64 t 2)))
✓	0.0b	(/.f64 (+.f64 1 (log.f64 (exp.f64 (.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 3801 to 2828 computations (25.6% saved)

regimes1.9s (28.3%)

Accuracy

Total 0.0b remaining (14.5%)

Threshold costs 0.0b (14.5%)

Counts

252 → 1

Compiler

Compiled 32299 to 25681 computations (20.5% 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	14	47
1	20	47
2	19	47

end130.0ms (2%)

Compiler: Compiled 151 to 119 computations (21.2% saved)

Details

analyze6.0ms (0.1%)

sample1.6s (23.7%)

simplify76.0ms (1.2%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

series14.0ms (0.2%)

rewrite45.0ms (0.7%)

simplify121.0ms (1.8%)

prune837.0ms (12.6%)

localize12.0ms (0.2%)

series6.0ms (0.1%)

rewrite4.0ms (0.1%)

simplify69.0ms (1%)

prune718.0ms (10.8%)

localize10.0ms (0.2%)

series7.0ms (0.1%)

rewrite24.0ms (0.4%)

simplify75.0ms (1.1%)

prune731.0ms (11%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite24.0ms (0.4%)

simplify107.0ms (1.6%)

prune143.0ms (2.1%)

regimes1.9s (28.3%)

simplify2.0ms (0%)

end130.0ms (2%)

Profiling