Details

sample328.0ms

Algorithm

intervals

Results

247.0ms	245×	body	5120	exit
33.0ms	71×	body	1280	valid
13.0ms	54×	body	640	valid
5.0ms	160×	body	80	nan
4.0ms	87×	body	80	valid
4.0ms	26×	body	320	valid
2.0ms	2×	body	2560	valid
2.0ms	16×	body	160	valid

simplify222.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	18	3
4	19	3
5	24	3
6	44	3
7	69	3
8	169	3
9	1127	3
10	5002	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

Merged error: 34.7b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
39.1b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`cosh-def`

Counts

2 → 19

Calls

2 calls:

1.0ms	(cosh c)
1.0ms	(fmod (cosh c) (log1p a))

series48.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify141.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	82	99
1	173	89
2	590	81
3	3626	79
4	5001	79

prune78.0ms

Filtered

25 candidates to 20 candidates (80.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	17	8	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	8	26

Merged error: 34.6b

Counts

26 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.0b	(cosh c)
0.0b	(* (sqrt (cosh c)) (sqrt (cosh c)))
39.1b	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`add-exp-log` `cosh-def` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 83

Calls

4 calls:

1.0ms	(cosh c)
1.0ms	(cosh c)
7.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
1.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

series145.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(cosh c)
48.0ms	(cosh c)
45.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
2.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

simplify36.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	168	387
1	673	339
2	5002	301

prune179.0ms

Filtered

95 candidates to 54 candidates (56.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	96	7	103

Merged error: 34.6b

Counts

103 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (sqrt (cosh c)))
0.0b	(cbrt (sqrt (cosh c)))
0.0b	(pow (cbrt (sqrt (cosh c))) 4)
39.1b	(fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down` `sqrt-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`cbrt-div` `cosh-def` `pow-pow` `sqrt-div`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt (sqrt (cosh c)))
2.0ms	(cbrt (sqrt (cosh c)))
4.0ms	(pow (cbrt (sqrt (cosh c))) 4)
1.0ms	(fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a))

series563.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (sqrt (cosh c)))
150.0ms	(cbrt (sqrt (cosh c)))
256.0ms	(pow (cbrt (sqrt (cosh c))) 4)
3.0ms	(fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a))

simplify86.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	226	622
1	629	562
2	2248	536
3	5001	534

prune268.0ms

Filtered

81 candidates to 59 candidates (72.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	76	5	81
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	78	10	88

Merged error: 34.5b

Counts

88 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a)))
39.1b	(fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a))
39.1b	(fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a))
39.1b	(fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
1×	`pow1/3`

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt (fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a)))
1.0ms	(fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a))
1.0ms	(fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a))
1.0ms	(fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a))

series55.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt (fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a)))
3.0ms	(fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a))
3.0ms	(fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a))
3.0ms	(fmod (* (pow (cbrt (sqrt (cosh c))) 4) (* (cbrt (sqrt (cosh c))) (cbrt (sqrt (cosh c))))) (log1p a))

simplify223.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 5 (215.0ms)

Iter	Nodes	Cost
0	55	867
1	98	749
2	241	747
3	769	747
4	4050	691
5	5001	680

prune214.0ms

Filtered

52 candidates to 43 candidates (82.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	43	9	52
Fresh	2	6	8
Picked	1	0	1
Done	1	0	1
Total	47	15	62

Merged error: 34.5b

Counts

62 → 15

regimes428.0ms

Accuracy

0% (0.1b remaining)

Error of 34.3b against oracle of 34.1b and baseline of 34.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	64
1	20	64

end0.0ms

sample10.8s

Algorithm

intervals

Results

8.2s	7911×	body	5120	exit
1.1s	2373×	body	1280	valid
380.0ms	1541×	body	640	valid
170.0ms	150×	body	2560	valid
165.0ms	5165×	body	80	nan
139.0ms	2761×	body	80	valid
111.0ms	760×	body	320	valid
45.0ms	408×	body	160	valid
11.0ms	7×	body	5120	valid