Details

analyze27.0ms (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 44 to 32 computations (27.3% saved)

sample47.0ms (1.2%)

Algorithm

1×

intervals

Results

12.0ms	256×	pre	128	true
9.0ms	256×	body	128	valid

Compiler

Compiled 61 to 45 computations (26.2% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

114×	`fma-def_binary64`
49×	`distribute-rgt-in_binary64`
46×	`distribute-lft-in_binary64`
40×	`associate-+l+_binary64`
32×	`associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	52	13
3	124	13
4	193	13
5	245	13
6	247	13
7	236	13

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

Error

3.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	3.8b	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)

Compiler

Compiled 39 to 27 computations (30.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 b (+.f64 c d))
✓	2.8b	(+.f64 a (+.f64 b (+.f64 c d)))

series11.0ms (0.3%)

Counts

2 → 84

Calls

2 calls:

6.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
4.0ms	(+.f64 b (+.f64 c d))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
16×	`add-log-exp_binary64`
9×	`distribute-lft-out_binary64`
9×	`sum-log_binary64`
6×	`fma-def_binary64`

Counts

2 → 42

Calls

2 calls:

8.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
4.0ms	(+.f64 b (+.f64 c d))

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

791×	`associate--l+_binary64`
721×	`distribute-rgt-in_binary64`
666×	`distribute-lft-in_binary64`
390×	`associate-l_binary64`
261×	`fma-def_binary64`

Counts

126 → 74

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	1070
1	198	1049
2	692	1049
3	3441	1049
4	5208	1049

prune50.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	64	10	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	10	75

Error

0.8b

Counts

75 → 10

Alt Table

Status	Error	Program
	3.8b	(.f64 (log.f64 (.f64 (exp.f64 a) (*.f64 (exp.f64 b) (exp.f64 (+.f64 c d))))) 2)
	5.9b	(.f64 (fma.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (cbrt.f64 a) (+.f64 b (+.f64 c d))) 2)
▶	1.6b	(.f64 (log.f64 (.f64 (exp.f64 a) (.f64 (exp.f64 b) (.f64 (exp.f64 c) (exp.f64 d))))) 2)
	3.6b	(.f64 (/.f64 (-.f64 (.f64 a a) (*.f64 (+.f64 c (+.f64 d b)) (+.f64 c (+.f64 d b)))) (-.f64 a (+.f64 c (+.f64 d b)))) 2)
	4.0b	(.f64 (/.f64 (-.f64 (.f64 a a) (*.f64 (+.f64 b (+.f64 c d)) (+.f64 b (+.f64 c d)))) (-.f64 a (+.f64 b (+.f64 c d)))) 2)
	3.7b	(.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c (+.f64 d b)) 3)) (fma.f64 (+.f64 c (+.f64 d b)) (-.f64 (+.f64 c (+.f64 d b)) a) (.f64 a a))) 2)
	4.0b	(.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 b (+.f64 c d)) 3)) (+.f64 (.f64 a a) (-.f64 (.f64 (+.f64 b (+.f64 c d)) (+.f64 b (+.f64 c d))) (.f64 a (+.f64 b (+.f64 c d)))))) 2)
	3.0b	(*.f64 (log1p.f64 (expm1.f64 (+.f64 c (+.f64 (+.f64 d b) a)))) 2)
	3.2b	(*.f64 (expm1.f64 (log1p.f64 (+.f64 c (+.f64 (+.f64 d b) a)))) 2)
	2.8b	(*.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 2)

Compiler

Compiled 1441 to 623 computations (56.8% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (exp.f64 c) (exp.f64 d))
✓	0.4b	(.f64 (exp.f64 a) (.f64 (exp.f64 b) (*.f64 (exp.f64 c) (exp.f64 d))))
✓	0.4b	(.f64 (exp.f64 b) (.f64 (exp.f64 c) (exp.f64 d)))
✓	0.9b	(log.f64 (.f64 (exp.f64 a) (.f64 (exp.f64 b) (*.f64 (exp.f64 c) (exp.f64 d)))))

series1.7s (44.6%)

Counts

4 → 136

Calls

4 calls:

1.6s	(log.f64 (.f64 (exp.f64 a) (.f64 (exp.f64 b) (*.f64 (exp.f64 c) (exp.f64 d)))))
33.0ms	(.f64 (exp.f64 a) (.f64 (exp.f64 b) (*.f64 (exp.f64 c) (exp.f64 d))))
18.0ms	(.f64 (exp.f64 b) (.f64 (exp.f64 c) (exp.f64 d)))
8.0ms	(*.f64 (exp.f64 c) (exp.f64 d))

rewrite42.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`pow1_binary64`
21×	`*-un-lft-identity_binary64`
20×	`add-cbrt-cube_binary64`
16×	`prod-exp_binary64`
16×	`pow-prod-down_binary64`

Counts

4 → 85

Calls

4 calls:

11.0ms	(.f64 (exp.f64 a) (.f64 (exp.f64 b) (*.f64 (exp.f64 c) (exp.f64 d))))
10.0ms	(log.f64 (.f64 (exp.f64 a) (.f64 (exp.f64 b) (*.f64 (exp.f64 c) (exp.f64 d)))))
8.0ms	(.f64 (exp.f64 b) (.f64 (exp.f64 c) (exp.f64 d)))
7.0ms	(*.f64 (exp.f64 c) (exp.f64 d))

simplify118.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

678×	`prod-exp_binary64`
481×	`associate-r_binary64`
386×	`distribute-rgt-out_binary64`
366×	`associate-l_binary64`
267×	`associate-+l+_binary64`

Counts

221 → 201

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	245	3683
1	693	2727
2	2359	2617
3	4148	2617
4	5037	2617

prune85.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	198	3	201
Fresh	8	1	9
Picked	1	0	1
Done	0	0	0
Total	207	4	211

Error

0.0b

Counts

211 → 4

Alt Table

Status	Error	Program
	3.2b	(*.f64 (expm1.f64 (log1p.f64 (+.f64 c (+.f64 (+.f64 d b) a)))) 2)
	0.2b	(.f64 (+.f64 (log.f64 (.f64 (exp.f64 c) (*.f64 (exp.f64 d) (exp.f64 a)))) b) 2)
	1.5b	(.f64 (log.f64 (.f64 (exp.f64 a) (*.f64 (exp.f64 (+.f64 b c)) (exp.f64 d)))) 2)
▶	0.1b	(.f64 (+.f64 c (log.f64 (.f64 (exp.f64 b) (*.f64 (exp.f64 d) (exp.f64 a))))) 2)

Compiler

Compiled 4111 to 1507 computations (63.3% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (exp.f64 d) (exp.f64 a))
✓	0.4b	(.f64 (exp.f64 b) (.f64 (exp.f64 d) (exp.f64 a)))

series25.0ms (0.6%)

Counts

2 → 20

Calls

2 calls:

18.0ms	(.f64 (exp.f64 b) (.f64 (exp.f64 d) (exp.f64 a)))
6.0ms	(*.f64 (exp.f64 d) (exp.f64 a))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`associate-l_binary64`

Counts

2 → 42

Calls

2 calls:

8.0ms	(.f64 (exp.f64 b) (.f64 (exp.f64 d) (exp.f64 a)))
6.0ms	(*.f64 (exp.f64 d) (exp.f64 a))

simplify92.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

790×	`fma-def_binary64`
664×	`prod-exp_binary64`
402×	`associate-+l+_binary64`
369×	`*-commutative_binary64`
331×	`unswap-sqr_binary64`

Counts

62 → 95

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	971
1	366	807
2	1133	736
3	2585	724
4	3509	724
5	4923	724
6	4919	724

prune47.0ms (1.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	98	1	99

Error

Counts

99 → 1

Alt Table

Status	Error	Program
▶	0b	(*.f64 (+.f64 c (log.f64 (exp.f64 (+.f64 b (+.f64 d a))))) 2)

Compiler

Compiled 1853 to 802 computations (56.7% saved)

localize10.0ms (0.3%)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(*.f64 (+.f64 c (log.f64 (exp.f64 (+.f64 b (+.f64 d a))))) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes424.0ms (11.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

47 → 1

Compiler

Compiled 7574 to 5114 computations (32.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	16	17
2	16	17

end14.0ms (0.4%)

Remove: (sort a b c d)
Compiler: Compiled 45 to 33 computations (26.7% saved)

sample975.0ms (25.6%)

Algorithm

1×

intervals

Results

350.0ms	8000×	pre	128	true
273.0ms	8000×	body	128	valid

Compiler

Compiled 78 to 58 computations (25.6% saved)

Details

analyze27.0ms (0.7%)

sample47.0ms (1.2%)

simplify10.0ms (0.3%)

prune2.0ms (0%)

localize8.0ms (0.2%)

series11.0ms (0.3%)

rewrite15.0ms (0.4%)

simplify59.0ms (1.6%)

prune50.0ms (1.3%)

localize15.0ms (0.4%)

series1.7s (44.6%)

rewrite42.0ms (1.1%)

simplify118.0ms (3.1%)

prune85.0ms (2.2%)

localize12.0ms (0.3%)

series25.0ms (0.6%)

rewrite16.0ms (0.4%)

simplify92.0ms (2.4%)

prune47.0ms (1.2%)

localize10.0ms (0.3%)

prune1.0ms (0%)

regimes424.0ms (11.2%)

simplify3.0ms (0.1%)

end14.0ms (0.4%)

sample975.0ms (25.6%)

Profiling