Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 53 to 38 computations (28.3% saved)

sample66.0ms (1.1%)

Algorithm

1×

intervals

Symmetry

(sort a b c d e)

Results

14.0ms	256×	pre	128	true
9.0ms	256×	body	128	valid

Compiler

Compiled 72 to 52 computations (27.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

128×	`associate-+l+_binary64`
99×	`associate-+r+_binary64`
56×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	13
2	56	13
3	143	13
4	188	13
5	186	13
6	186	13

prune1.0ms (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

0.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.4b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

Compiler

Compiled 42 to 27 computations (35.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (+.f64 e d) c)
✓	0.2b	(+.f64 (+.f64 (+.f64 e d) c) b)
✓	0.3b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

series21.0ms (0.4%)

Counts

3 → 144

Calls

3 calls:

8.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
7.0ms	(+.f64 (+.f64 e d) c)
6.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64`
31×	`add-log-exp_binary64`
29×	`distribute-lft-out_binary64`
19×	`sum-log_binary64`
15×	`fma-def_binary64`

Counts

3 → 72

Calls

3 calls:

9.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
7.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
4.0ms	(+.f64 (+.f64 e d) c)

simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

599×	`associate-+l+_binary64`
542×	`fma-neg_binary64`
494×	`associate--l+_binary64`
363×	`associate-+r+_binary64`
350×	`fma-def_binary64`

Counts

216 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	2097
1	284	2070
2	933	2052
3	2956	2052
4	4610	2052
5	4829	2052

prune74.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	3	108

Error

Counts

108 → 3

Alt Table

Status	Error	Program
	0.3b	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)
	0.4b	(+.f64 (+.f64 (+.f64 e (+.f64 d c)) b) a)
▶	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))

Compiler

Compiled 1656 to 442 computations (73.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series112.0ms (1.9%)

Counts

4 → 168

Calls

4 calls:

58.0ms	(.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a))
30.0ms	(.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))
17.0ms	(.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c))
6.0ms	(*.f64 (exp.f64 e) (exp.f64 d))

rewrite42.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-cbrt-cube_binary64`
34×	`pow1_binary64`
23×	`*-un-lft-identity_binary64`
20×	`cbrt-unprod_binary64`
20×	`prod-exp_binary64`

Counts

4 → 93

Calls

4 calls:

13.0ms	(.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a))
10.0ms	(.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))
7.0ms	(.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c))
5.0ms	(*.f64 (exp.f64 e) (exp.f64 d))

simplify158.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

968×	`prod-exp_binary64`
493×	`*-commutative_binary64`
466×	`fma-def_binary64`
440×	`associate-+l+_binary64`
291×	`associate-+r+_binary64`

Counts

261 → 244

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	347	5120
1	1082	4130
2	2280	3920
3	3203	3914
4	4314	3914
5	5695	3914

prune133.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	243	1	244
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	244	3	247

Error

Counts

247 → 3

Alt Table

Status	Error	Program
	0.3b	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)
▶	0.1b	(log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 (+.f64 c d))) (exp.f64 b)) (exp.f64 a)))
✓	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))

Compiler

Compiled 5758 to 1671 computations (71% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (exp.f64 e) (exp.f64 (+.f64 c d)))
✓	0.3b	(.f64 (.f64 (exp.f64 e) (exp.f64 (+.f64 c d))) (exp.f64 b))
✓	0.4b	(.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 (+.f64 c d))) (exp.f64 b)) (exp.f64 a))
✓	2.0b	(exp.f64 (+.f64 c d))

series434.0ms (7.3%)

Counts

4 → 128

Calls

4 calls:

247.0ms	(.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 (+.f64 c d))) (exp.f64 b)) (exp.f64 a))
172.0ms	(.f64 (.f64 (exp.f64 e) (exp.f64 (+.f64 c d))) (exp.f64 b))
11.0ms	(*.f64 (exp.f64 e) (exp.f64 (+.f64 c d)))
4.0ms	(exp.f64 (+.f64 c d))

rewrite75.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64`
22×	`exp-prod_binary64`
20×	`add-cbrt-cube_binary64`
20×	`pow1_binary64`
12×	`pow-prod-up_binary64`

Counts

4 → 86

Calls

4 calls:

48.0ms	(.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 (+.f64 c d))) (exp.f64 b)) (exp.f64 a))
10.0ms	(.f64 (.f64 (exp.f64 e) (exp.f64 (+.f64 c d))) (exp.f64 b))
8.0ms	(*.f64 (exp.f64 e) (exp.f64 (+.f64 c d)))
3.0ms	(exp.f64 (+.f64 c d))

simplify152.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

705×	`distribute-rgt-out_binary64`
696×	`associate-r_binary64`
557×	`associate-l_binary64`
400×	`fma-def_binary64`
319×	`prod-exp_binary64`

Counts

214 → 232

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	4323
1	922	3498
2	3498	3342
3	5223	3342

prune128.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	232	3	235

Error

Counts

235 → 3

Alt Table

Status	Error	Program
▶	0.3b	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)
✓	0.1b	(log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 (+.f64 c d))) (exp.f64 b)) (exp.f64 a)))
✓	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))

Compiler

Compiled 5242 to 1546 computations (70.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series1.7s (28.6%)

Counts

1 → 60

Calls

1 calls:

1.7s	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`pow1_binary64`
12×	`*-un-lft-identity_binary64`
12×	`pow-prod-down_binary64`
9×	`log-pow_binary64`
8×	`fma-def_binary64`

Counts

1 → 27

Calls

1 calls:

11.0ms

(+.f64 (log.f64 (*.f64 (*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

901×	`fma-def_binary64`
541×	`sub-neg_binary64`
479×	`fma-neg_binary64`
447×	`cancel-sign-sub-inv_binary64`
360×	`associate--r+_binary64`

Counts

87 → 47

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	1479
1	168	1076
2	440	1067
3	1922	1067
4	3726	1067
5	5086	1067

prune135.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	213	3	216

Error

Counts

216 → 3

Alt Table

Status	Error	Program
✓	0.3b	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)
✓	0.1b	(log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 (+.f64 c d))) (exp.f64 b)) (exp.f64 a)))
✓	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))

Compiler

Compiled 4405 to 1291 computations (70.7% saved)

regimes1.3s (21.3%)

Accuracy

Total 0.0b remaining (71.5%)

Threshold costs 0.0b (71.5%)

Counts

120 → 1

Compiler

Compiled 20588 to 14294 computations (30.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	20	25
2	20	25

end16.0ms (0.3%)

Remove: (sort a b c d e)
Compiler: Compiled 60 to 45 computations (25% saved)

sample1.2s (19.7%)

Algorithm

1×

intervals

Results

475.0ms	8000×	pre	128	true
298.0ms	8000×	body	128	valid

Compiler

Compiled 136 to 101 computations (25.7% saved)

Details

analyze3.0ms (0.1%)

sample66.0ms (1.1%)

simplify8.0ms (0.1%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series21.0ms (0.4%)

rewrite24.0ms (0.4%)

simplify96.0ms (1.6%)

prune74.0ms (1.2%)

localize14.0ms (0.2%)

series112.0ms (1.9%)

rewrite42.0ms (0.7%)

simplify158.0ms (2.7%)

prune133.0ms (2.2%)

localize13.0ms (0.2%)

series434.0ms (7.3%)

rewrite75.0ms (1.3%)

simplify152.0ms (2.5%)

prune128.0ms (2.1%)

localize14.0ms (0.2%)

series1.7s (28.6%)

rewrite13.0ms (0.2%)

simplify69.0ms (1.2%)

prune135.0ms (2.3%)

regimes1.3s (21.3%)

simplify3.0ms (0%)

end16.0ms (0.3%)

sample1.2s (19.7%)

Profiling