Details

sample549.0ms

Algorithm

intervals

Results

402.0ms	224×	body	10240	exit
56.0ms	74×	body	1280	valid
22.0ms	56×	body	640	valid
10.0ms	171×	body	80	nan
8.0ms	83×	body	80	valid
5.0ms	23×	body	320	valid
4.0ms	2×	body	2560	valid
3.0ms	18×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
done	16	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.4b

localize48.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
40.1b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 15

Calls

2 calls:

2.0ms	(cosh c)
1.0ms	(fmod (cosh c) (log1p a))

series104.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(cosh c)
12.0ms	(fmod (cosh c) (log1p a))

simplify3.7s

Counts

21 → 21

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	40	141
1	71	140
2	121	126
3	223	126
4	434	126
5	1001	126
6	3580	126
done	5000	126

prune112.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 35.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cosh c))
0.3b	(cbrt (cosh c))
0.3b	(cbrt (cosh c))
40.1b	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `cosh-def` `pow1/3`

Counts

4 → 43

Calls

4 calls:

2.0ms	(cbrt (cosh c))
2.0ms	(cbrt (cosh c))
2.0ms	(cbrt (cosh c))
1.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))

series607.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (cosh c))
188.0ms	(cbrt (cosh c))
228.0ms	(cbrt (cosh c))
7.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))

simplify4.9s

Counts

55 → 55

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	52	489
1	91	477
2	142	383
3	234	350
4	416	350
5	698	350
6	1508	350
7	4589	350
done	5001	350

prune229.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 35.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.0b	(cbrt (pow (cosh c) 3))
0.0b	(pow (cosh c) 3)
40.1b	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `cosh-def`
2×	`cube-div` `cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cosh c)
2.0ms	(cbrt (pow (cosh c) 3))
3.0ms	(pow (cosh c) 3)
0.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

series246.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(cosh c)
74.0ms	(cbrt (pow (cosh c) 3))
95.0ms	(pow (cosh c) 3)
6.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

simplify3.1s

Counts

73 → 73

Iterations

Useful iterations: 3 (928.0ms)

Iter	Nodes	Cost
0	93	626
1	186	450
2	445	425
3	2645	417
done	5000	417

prune248.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 35.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (cosh c) 3)
0.3b	(cbrt (sqrt (pow (cosh c) 3)))
0.3b	(cbrt (sqrt (pow (cosh c) 3)))
40.1b	(fmod (* (cbrt (sqrt (pow (cosh c) 3))) (cbrt (sqrt (pow (cosh c) 3)))) (log1p a))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
24×	`sqrt-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cube-div` `cube-mult` `pow-unpow` `cosh-def` `unpow3` `sqr-pow`
2×	`cbrt-div` `pow1/3` `sqrt-div`
1×	`pow-to-exp` `pow-pow` `pow-exp` `rem-cube-cbrt`

Counts

4 → 79

Calls

4 calls:

6.0ms	(pow (cosh c) 3)
8.0ms	(cbrt (sqrt (pow (cosh c) 3)))
7.0ms	(cbrt (sqrt (pow (cosh c) 3)))
1.0ms	(fmod (* (cbrt (sqrt (pow (cosh c) 3))) (cbrt (sqrt (pow (cosh c) 3)))) (log1p a))

series338.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(pow (cosh c) 3)
91.0ms	(cbrt (sqrt (pow (cosh c) 3)))
121.0ms	(cbrt (sqrt (pow (cosh c) 3)))
7.0ms	(fmod (* (cbrt (sqrt (pow (cosh c) 3))) (cbrt (sqrt (pow (cosh c) 3)))) (log1p a))

simplify3.4s

Counts

91 → 91

Iterations

Useful iterations: 3 (683.0ms)

Iter	Nodes	Cost
0	113	1052
1	202	897
2	463	833
3	2652	815
done	5000	815

prune387.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 34.6b

regimes490.0ms

Accuracy

0% (0.8b remaining)

Error of 34.3b against oracle of 33.6b and baseline of 34.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	20
1	21	20
done	21	20

end0.0ms

sample18.8s

Algorithm

intervals

Results

13.8s	7695×	body	10240	exit
1.7s	2311×	body	1280	valid
713.0ms	2734×	body	80	valid
671.0ms	1592×	body	640	valid
423.0ms	5190×	body	80	nan
276.0ms	150×	body	2560	valid
177.0ms	777×	body	320	valid
73.0ms	425×	body	160	valid
31.0ms	11×	body	5120	valid