Details

sample564.0ms

Algorithm

intervals

Results

395.0ms	251×	body	10240	exit
52.0ms	74×	body	1280	valid
46.0ms	200×	body	80	nan
18.0ms	48×	body	640	valid
7.0ms	91×	body	80	valid
6.0ms	26×	body	320	valid
6.0ms	5×	body	2560	valid
2.0ms	11×	body	160	valid
1.0ms	1×	body	5120	valid

simplify68.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
38.0b	(fmod (cosh c) (log1p a))

rewrite8.0ms

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:

4.0ms	(cosh c)
1.0ms	(fmod (cosh c) (log1p a))

series101.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(cosh c)
17.0ms	(fmod (cosh c) (log1p a))

simplify3.6s

Counts

21 → 21

Iterations

Useful iterations: 2 (40.0ms)

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

prune134.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 33.4b

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)
38.0b	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

rewrite10.0ms

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:

1.0ms	(cosh c)
3.0ms	(cbrt (pow (cosh c) 3))
3.0ms	(pow (cosh c) 3)
0.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

series242.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(cosh c)
73.0ms	(cbrt (pow (cosh c) 3))
115.0ms	(pow (cosh c) 3)
3.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

simplify3.2s

Counts

73 → 73

Iterations

Useful iterations: 3 (870.0ms)

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

prune306.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 33.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (/ (+ (exp (- c)) (exp c)) 2) 3))
0.0b	(+ (exp (- c)) (exp c))
0.0b	(pow (/ (+ (exp (- c)) (exp c)) 2) 3)
38.0b	(fmod (cbrt (pow (/ (+ (exp (- c)) (exp c)) 2) 3)) (log1p a))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
48×	`times-frac`
38×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
32×	`unpow-prod-down` `cube-prod`
13×	`distribute-lft-out`
7×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1`
4×	`div-inv`
3×	`pow-unpow`
2×	`cube-div` `cube-mult` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `cbrt-div` `pow-pow` `flip3-+` `pow1/3` `div-exp` `sum-log` `rem-cbrt-cube` `flip-+`

Counts

4 → 119

Calls

4 calls:

38.0ms	(cbrt (pow (/ (+ (exp (- c)) (exp c)) 2) 3))
47.0ms	(+ (exp (- c)) (exp c))
50.0ms	(pow (/ (+ (exp (- c)) (exp c)) 2) 3)
0.0ms	(fmod (cbrt (pow (/ (+ (exp (- c)) (exp c)) 2) 3)) (log1p a))

series210.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(cbrt (pow (/ (+ (exp (- c)) (exp c)) 2) 3))
27.0ms	(+ (exp (- c)) (exp c))
119.0ms	(pow (/ (+ (exp (- c)) (exp c)) 2) 3)
5.0ms	(fmod (cbrt (pow (/ (+ (exp (- c)) (exp c)) 2) 3)) (log1p a))

simplify1.2s

Counts

131 → 131

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	176	2422
1	440	2004
2	1198	1739
done	5001	1703

prune563.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 31.8b

localize35.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (sqrt (+ (exp c) (exp (- c)))) 3)
1.0b	(cbrt 2)
1.2b	(cbrt (/ (pow (sqrt (+ (exp c) (exp (- c)))) 3) 4))
38.0b	(fmod (* (cbrt (/ (pow (sqrt (+ (exp c) (exp (- c)))) 3) 4)) (/ (sqrt (+ (exp (- c)) (exp c))) (cbrt 2))) (log1p a))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

67×	`cbrt-prod`
62×	`*-un-lft-identity`
60×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`sqrt-prod`
28×	`unpow-prod-down` `cube-prod`
8×	`distribute-lft-out`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`cube-mult` `unpow3` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-pow`
2×	`cube-div` `pow1/3` `sqrt-div`
1×	`pow-to-exp` `cbrt-div` `sqrt-pow1` `flip3-+` `pow1/2` `pow-exp` `sqrt-pow2` `flip-+` `div-inv` `rem-cube-cbrt`

Counts

4 → 127

Calls

4 calls:

42.0ms	(pow (sqrt (+ (exp c) (exp (- c)))) 3)
1.0ms	(cbrt 2)
27.0ms	(cbrt (/ (pow (sqrt (+ (exp c) (exp (- c)))) 3) 4))
0.0ms	(fmod (* (cbrt (/ (pow (sqrt (+ (exp c) (exp (- c)))) 3) 4)) (/ (sqrt (+ (exp (- c)) (exp c))) (cbrt 2))) (log1p a))

series328.0ms

Counts

4 → 10

Calls

4 calls:

155.0ms	(pow (sqrt (+ (exp c) (exp (- c)))) 3)
0.0ms	(cbrt 2)
146.0ms	(cbrt (/ (pow (sqrt (+ (exp c) (exp (- c)))) 3) 4))
26.0ms	(fmod (* (cbrt (/ (pow (sqrt (+ (exp c) (exp (- c)))) 3) 4)) (/ (sqrt (+ (exp (- c)) (exp c))) (cbrt 2))) (log1p a))

simplify1.2s

Counts

137 → 137

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	265	2980
1	476	2421
2	1354	2307
done	5001	2288

prune651.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 31.4b

regimes895.0ms

Accuracy

0% (1.7b remaining)

Error of 33.8b against oracle of 32.1b and baseline of 33.8b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	83
1	25	83
done	25	83

end0.0ms

sample19.6s

Algorithm

intervals

Results

13.6s	7817×	body	10240	exit
2.5s	2253×	body	1280	valid
1.6s	1636×	body	640	valid
301.0ms	5268×	body	80	nan
285.0ms	2764×	body	80	valid
269.0ms	160×	body	2560	valid
265.0ms	787×	body	320	valid
66.0ms	390×	body	160	valid
21.0ms	10×	body	5120	valid