Details

analyze75.0ms (2.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample61.0ms (1.9%)

Algorithm

1×

intervals

Results

37.0ms	141×	body	1024	valid
10.0ms	58×	body	512	valid
3.0ms	9×	body	2048	valid
3.0ms	28×	body	256	valid
1.0ms	20×	body	128	valid

Compiler

Compiled 20 to 16 computations (20% saved)

simplify62.0ms (2%)

Algorithm

1×	egg-herbie

Rules

725×	`div-sub_binary64`
524×	`cancel-sign-sub-inv_binary64`
510×	`associate-/l*_binary64`
425×	`times-frac_binary64`
418×	`associate-/r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	33	13
3	56	13
4	105	13
5	206	13
6	467	13
7	1187	13
8	2763	13
9	4552	13
10	5268	13

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

58.6b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	58.6b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.1b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`cancel-sign-sub-inv_binary64`
3×	`add-log-exp_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 17

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 252 to 93 computations (63.1% saved)

series13.0ms (0.4%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

8.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 172 to 139 computations (19.2% saved)

simplify71.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

576×	`associate-/l*_binary64`
514×	`div-sub_binary64`
335×	`unsub-neg_binary64`
234×	`times-frac_binary64`
233×	`distribute-rgt-in_binary64`

Counts

23 → 14

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	360
1	145	323
2	323	321
3	914	321
4	2171	319
5	4273	319
6	4891	319

prune11.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Error

0.0b

Counts

15 → 4

Alt Table

Status	Error	Program
▶	0.2b	(/.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (*.f64 1/2520 (pow.f64 x 7)))) 2)
	0.3b	(/.f64 (+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (.f64 1/60 (pow.f64 x 5))) 2)
	0.5b	(/.f64 (+.f64 (+.f64 x x) (*.f64 1/3 (pow.f64 x 3))) 2)
✓	58.6b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 272 to 185 computations (32% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (*.f64 1/2520 (pow.f64 x 7))))
0.0b	(*.f64 1/60 (pow.f64 x 5))
0.1b	(*.f64 1/2520 (pow.f64 x 7))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite126.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64`
26×	`associate-r_binary64`
19×	`add-exp-log_binary64`
18×	`add-log-exp_binary64`
14×	`*-un-lft-identity_binary64`

Counts

4 → 96

Calls

4 calls:

12.0ms	(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (*.f64 1/2520 (pow.f64 x 7))))
5.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 1/60 (pow.f64 x 5))
5.0ms	(*.f64 1/2520 (pow.f64 x 7))

Compiler

Compiled 2695 to 2041 computations (24.3% saved)

series35.0ms (1.1%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

9.0ms	(*.f64 1/2520 (pow.f64 x 7))
8.0ms	(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (*.f64 1/2520 (pow.f64 x 7))))
8.0ms	(*.f64 1/60 (pow.f64 x 5))
7.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 623 to 501 computations (19.6% saved)

simplify89.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

860×	`distribute-rgt-in_binary64`
830×	`distribute-lft-in_binary64`
139×	`associate-l_binary64`
133×	`associate-r_binary64`
116×	`cancel-sign-sub-inv_binary64`

Counts

111 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	1692
1	390	1577
2	1244	1540
3	4856	1540
4	4991	1540

prune47.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	64	5	69

Error

0.0b

Counts

69 → 5

Alt Table

Status	Error	Program
	38.5b	(/.f64 (exp.f64 (log.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))))) 2)
	0.5b	(/.f64 (+.f64 (+.f64 x x) (*.f64 1/3 (pow.f64 x 3))) 2)
✓	0.2b	(/.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (*.f64 1/2520 (pow.f64 x 7)))) 2)
▶	0.3b	(/.f64 (+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (.f64 1/60 (pow.f64 x 5))) 2)
✓	58.6b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 1332 to 999 computations (25% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x x) (*.f64 1/3 (pow.f64 x 3)))
0.0b	(+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (.f64 1/60 (pow.f64 x 5)))
0.0b	(*.f64 1/60 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite96.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
18×	`add-log-exp_binary64`
14×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64`

Counts

4 → 83

Calls

4 calls:

8.0ms	(+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (.f64 1/60 (pow.f64 x 5)))
6.0ms	(+.f64 (+.f64 x x) (*.f64 1/3 (pow.f64 x 3)))
5.0ms	(*.f64 1/60 (pow.f64 x 5))
5.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 1899 to 1379 computations (27.4% saved)

series54.0ms (1.7%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

22.0ms	(+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (.f64 1/60 (pow.f64 x 5)))
12.0ms	(+.f64 (+.f64 x x) (*.f64 1/3 (pow.f64 x 3)))
8.0ms	(*.f64 1/60 (pow.f64 x 5))
7.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 663 to 541 computations (18.4% saved)

simplify152.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

539×	`distribute-rgt-in_binary64`
532×	`unswap-sqr_binary64`
508×	`distribute-lft-in_binary64`
376×	`*-commutative_binary64`
246×	`exp-prod_binary64`

Counts

104 → 68

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	1539
1	347	1457
2	1124	1423
3	3564	1423
4	4564	1391
5	4637	1391
6	4868	1391
7	4856	1391

prune39.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	68	5	73

Error

0.0b

Counts

73 → 5

Alt Table

Status	Error	Program
	38.5b	(/.f64 (exp.f64 (log.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))))) 2)
▶	0.5b	(/.f64 (+.f64 (+.f64 x x) (*.f64 1/3 (pow.f64 x 3))) 2)
✓	0.2b	(/.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (*.f64 1/2520 (pow.f64 x 7)))) 2)
✓	0.3b	(/.f64 (+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (.f64 1/60 (pow.f64 x 5))) 2)
✓	58.6b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 1119 to 812 computations (27.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 x x) (*.f64 1/3 (pow.f64 x 3)))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite44.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-log-exp_binary64`
7×	`add-exp-log_binary64`
6×	`*-un-lft-identity_binary64`

Counts

2 → 44

Calls

2 calls:

7.0ms	(+.f64 (+.f64 x x) (*.f64 1/3 (pow.f64 x 3)))
5.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 700 to 482 computations (31.1% saved)

series20.0ms (0.6%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

11.0ms	(+.f64 (+.f64 x x) (*.f64 1/3 (pow.f64 x 3)))
6.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 212 to 170 computations (19.8% saved)

simplify104.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

666×	`distribute-rgt-in_binary64`
609×	`distribute-lft-in_binary64`
452×	`unswap-sqr_binary64`
283×	`cancel-sign-sub-inv_binary64`
225×	`*-commutative_binary64`

Counts

53 → 36

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	677
1	190	613
2	616	594
3	1653	594
4	4802	588
5	4953	588
6	4994	588
7	4914	588

prune20.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	36	5	41

Error

0.0b

Counts

41 → 5

Alt Table

Status	Error	Program
	38.5b	(/.f64 (exp.f64 (log.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))))) 2)
	0.5b	(/.f64 (+.f64 (+.f64 x x) (*.f64 1/3 (pow.f64 x 3))) 2)
	0.2b	(/.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (*.f64 1/2520 (pow.f64 x 7)))) 2)
	0.3b	(/.f64 (+.f64 (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))) (.f64 1/60 (pow.f64 x 5))) 2)
	58.6b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 477 to 327 computations (31.4% saved)

regimes36.0ms (1.1%)

Accuracy

Total 0.0b remaining (16%)

Threshold costs 0.0b (16%)

Compiler

Compiled 600 to 479 computations (20.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
2	7	9

end0.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample1.9s (61.7%)

Algorithm

1×

intervals

Results

1.1s	4038×	body	1024	valid
279.0ms	1938×	body	512	valid
110.0ms	383×	body	2048	valid
89.0ms	987×	body	256	valid
30.0ms	654×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 107 to 85 computations (20.6% saved)

Details

analyze75.0ms (2.4%)

sample61.0ms (1.9%)

simplify62.0ms (2%)

prune1.0ms (0%)

localize6.0ms (0.2%)

rewrite12.0ms (0.4%)

series13.0ms (0.4%)

simplify71.0ms (2.2%)

prune11.0ms (0.4%)

localize15.0ms (0.5%)

rewrite126.0ms (4%)

series35.0ms (1.1%)

simplify89.0ms (2.8%)

prune47.0ms (1.5%)

localize10.0ms (0.3%)

rewrite96.0ms (3.1%)

series54.0ms (1.7%)

simplify152.0ms (4.8%)

prune39.0ms (1.3%)

localize6.0ms (0.2%)

rewrite44.0ms (1.4%)

series20.0ms (0.6%)

simplify104.0ms (3.3%)

prune20.0ms (0.6%)

regimes36.0ms (1.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.9s (61.7%)

Profiling