Details

analyze116.0ms (2.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
50%	50%	0.1%	5
50%	37.5%	12.6%	6
50%	25%	25.1%	7
50%	18.7%	31.3%	8
50%	12.5%	37.6%	9
50%	9.4%	40.7%	10
50%	6.2%	43.8%	11
50%	4.7%	45.4%	12
50%	3.1%	46.9%	13
50%	2.3%	47.7%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample66.0ms (1.4%)

Algorithm

1×

intervals

Results

30.0ms	66×	body	1024	valid
6.0ms	142×	body	128	valid
5.0ms	23×	body	512	valid
3.0ms	22×	body	256	valid
2.0ms	3×	body	2048	valid
0.0ms	7×	body	128	overflowed

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10
2	8	10

prune4.0ms (0.1%)

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

30.3b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	30.3b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
5.3b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite49.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64`
4×	`log-prod_binary64`
3×	`add-exp-log_binary64`
3×	`add-sqr-sqrt_binary64`

Counts

2 → 27

Calls

2 calls:

6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 332 to 84 computations (74.7% saved)

series84.0ms (1.8%)

Error

1.2b

Counts

2 → 23

Calls

2 calls:

44.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
18.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 765 to 563 computations (26.4% saved)

simplify104.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

633×	`cancel-sign-sub-inv_binary64`
292×	`associate-+l+_binary64`
284×	`associate-/r/_binary64`
266×	`associate-/l/_binary64`
215×	`sub-neg_binary64`

Counts

50 → 34

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	916
1	277	869
2	761	833
3	2534	822
4	4525	822
5	4997	822
6	4974	822

prune46.0ms (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	30	4	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	4	35

Error

1.2b

Counts

35 → 4

Alt Table

Status	Error	Program
	30.3b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
	30.3b	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
	30.3b	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
▶	1.9b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))

Compiler

Compiled 636 to 323 computations (49.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 a))
0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
0.0b	(+.f64 1 (exp.f64 a))
0.0b	(log.f64 (+.f64 1 (exp.f64 a)))

rewrite104.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

28×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
8×	`add-log-exp_binary64`

Counts

4 → 72

Calls

4 calls:

5.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
3.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
3.0ms	(+.f64 1 (exp.f64 a))
3.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 1226 to 755 computations (38.4% saved)

series57.0ms (1.2%)

Error

1.2b

Counts

4 → 21

Calls

4 calls:

18.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
15.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
7.0ms	(+.f64 1 (exp.f64 a))
5.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 663 to 488 computations (26.4% saved)

simplify189.0ms (4%)

Algorithm

1×	egg-herbie

Rules

417×	`cancel-sign-sub-inv_binary64`
338×	`times-frac_binary64`
304×	`distribute-rgt-in_binary64`
249×	`associate-l_binary64`
216×	`sub-neg_binary64`

Counts

93 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1213
1	229	1123
2	452	1114
3	882	1114
4	2050	1114
5	4102	1114
6	4993	1114
7	4999	1114
8	4899	1114

prune87.0ms (1.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	64	7	71

Error

1.2b

Counts

71 → 7

Alt Table

Status	Error	Program
	30.3b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
	30.3b	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
▶	2.7b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 (cbrt.f64 b) (cbrt.f64 b)) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))
	30.8b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a))))
	30.3b	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
	20.4b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))
	28.4b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (log.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))

Compiler

Compiled 1353 to 865 computations (36.1% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)

rewrite99.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

Compiler

Compiled 1625 to 697 computations (57.1% saved)

series73.0ms (1.6%)

Error

1.2b

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
16.0ms	(cbrt.f64 b)
14.0ms	(cbrt.f64 b)
14.0ms	(cbrt.f64 b)

Compiler

Compiled 742 to 519 computations (30.1% saved)

simplify92.0ms (2%)

Algorithm

1×	egg-herbie

Rules

735×	`log-prod_binary64`
577×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
525×	`unswap-sqr_binary64`
287×	`associate-l_binary64`

Counts

85 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	624
1	94	576
2	292	556
3	763	542
4	1759	418
5	4280	418
6	4543	418
7	4810	418

prune47.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	64	7	71

Error

1.2b

Counts

71 → 7

Alt Table

Status	Error	Program
	30.3b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
	30.3b	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
	30.8b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a))))
▶	3.2b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 5) (cbrt.f64 (cbrt.f64 b))) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))
	30.3b	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
	20.4b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))
	28.4b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (log.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))

Compiler

Compiled 937 to 552 computations (41.1% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 b)
0.7b	(cbrt.f64 (cbrt.f64 b))
0.7b	(cbrt.f64 (cbrt.f64 b))
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 b)) 5)

rewrite106.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

30×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
9×	`unpow-prod-down_binary64`

Counts

4 → 63

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 b)) 5)
1.0ms	(cbrt.f64 (cbrt.f64 b))
1.0ms	(cbrt.f64 (cbrt.f64 b))
1.0ms	(cbrt.f64 b)

Compiler

Compiled 1710 to 829 computations (51.5% saved)

series96.0ms (2%)

Error

1.2b

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 b)) 5)
19.0ms	(cbrt.f64 (cbrt.f64 b))
19.0ms	(cbrt.f64 (cbrt.f64 b))
17.0ms	(cbrt.f64 b)

Compiler

Compiled 878 to 633 computations (27.9% saved)

simplify88.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

584×	`log-prod_binary64`
578×	`distribute-rgt-in_binary64`
505×	`unswap-sqr_binary64`
401×	`*-commutative_binary64`
381×	`distribute-rgt-neg-in_binary64`

Counts

75 → 45

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	75	764
1	147	725
2	349	725
3	1141	709
4	2261	669
5	4594	666
6	4947	666

prune41.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	43	9	52

Error

1.2b

Counts

52 → 9

Alt Table

Status	Error	Program
	30.3b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
	30.3b	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
	28.4b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 b) 5/3) (cbrt.f64 (cbrt.f64 b))) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))
	30.8b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a))))
	30.3b	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
	28.4b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 b 1/6)) (cbrt.f64 (pow.f64 b 1/6))) 5) (cbrt.f64 (cbrt.f64 b))) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))
	28.3b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 b 2/3))) (cbrt.f64 (cbrt.f64 (cbrt.f64 b)))) 5) (cbrt.f64 (cbrt.f64 b))) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))
	20.4b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))
	28.4b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 (.f64 (exp.f64 (.f64 5 (log.f64 (cbrt.f64 (cbrt.f64 b))))) (cbrt.f64 (cbrt.f64 b))) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))

Compiler

Compiled 759 to 459 computations (39.5% saved)

regimes883.0ms (18.8%)

Accuracy

Total 0.4b remaining (44.1%)

Threshold costs 0.4b (44.1%)

Compiler

Compiled 16231 to 10642 computations (34.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	24	47
2	23	47

end8.0ms (0.2%)

Compiler: Compiled 96 to 66 computations (31.3% saved)

sample2.2s (46.8%)

Algorithm

1×

intervals

Results

880.0ms	1968×	body	1024	valid
214.0ms	951×	body	512	valid
182.0ms	4400×	body	128	valid
142.0ms	225×	body	2048	valid
53.0ms	456×	body	256	valid
5.0ms	136×	body	128	overflowed

Compiler

Compiled 259 to 180 computations (30.5% saved)

Details

analyze116.0ms (2.5%)

sample66.0ms (1.4%)

simplify9.0ms (0.2%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite49.0ms (1%)

series84.0ms (1.8%)

simplify104.0ms (2.2%)

prune46.0ms (1%)

localize7.0ms (0.2%)

rewrite104.0ms (2.2%)

series57.0ms (1.2%)

simplify189.0ms (4%)

prune87.0ms (1.8%)

localize15.0ms (0.3%)

rewrite99.0ms (2.1%)

series73.0ms (1.6%)

simplify92.0ms (2%)

prune47.0ms (1%)

localize18.0ms (0.4%)

rewrite106.0ms (2.2%)

series96.0ms (2%)

simplify88.0ms (1.9%)

prune41.0ms (0.9%)

regimes883.0ms (18.8%)

simplify3.0ms (0.1%)

end8.0ms (0.2%)

sample2.2s (46.8%)

Profiling