Details

sample711.0ms

Algorithm

intervals

Results

525.0ms	251×	body	10240	exit
58.0ms	74×	body	1280	valid
19.0ms	48×	body	640	valid
12.0ms	200×	body	80	nan
7.0ms	91×	body	80	valid
7.0ms	5×	body	2560	valid
6.0ms	26×	body	320	valid
2.0ms	11×	body	160	valid
1.0ms	1×	body	5120	valid

simplify69.0ms

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

prune6.0ms

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` `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:

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

series110.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(cosh c)
17.0ms	(fmod (cosh c) (log1p a))

simplify4.6s

Counts

25 → 25

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	44	159
1	77	156
2	134	142
3	255	142
4	501	142
5	1117	142
6	3821	142
done	5002	142

prune166.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 33.4b

localize23.0ms

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))

rewrite18.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 69

Calls

4 calls:

3.0ms	(cosh c)
6.0ms	(cbrt (pow (cosh c) 3))
7.0ms	(pow (cosh c) 3)
1.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

series235.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cosh c)
71.0ms	(cbrt (pow (cosh c) 3))
96.0ms	(pow (cosh c) 3)
4.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

simplify3.3s

Counts

81 → 81

Iterations

Useful iterations: 3 (921.0ms)

Iter	Nodes	Cost
0	101	672
1	199	478
2	470	453
3	2695	445
done	5001	445

prune304.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 33.4b

localize32.0ms

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))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
48×	`times-frac`
39×	`add-sqr-sqrt` `add-cube-cbrt`
38×	`cbrt-prod`
32×	`unpow-prod-down` `cube-prod`
13×	`distribute-lft-out`
7×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`pow-unpow` `fma-def`
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 → 130

Calls

4 calls:

43.0ms	(cbrt (pow (/ (+ (exp (- c)) (exp c)) 2) 3))
43.0ms	(+ (exp (- c)) (exp c))
73.0ms	(pow (/ (+ (exp (- c)) (exp c)) 2) 3)
0.0ms	(fmod (cbrt (pow (/ (+ (exp (- c)) (exp c)) 2) 3)) (log1p a))

series211.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(cbrt (pow (/ (+ (exp (- c)) (exp c)) 2) 3))
46.0ms	(+ (exp (- c)) (exp c))
100.0ms	(pow (/ (+ (exp (- c)) (exp c)) 2) 3)
10.0ms	(fmod (cbrt (pow (/ (+ (exp (- c)) (exp c)) 2) 3)) (log1p a))

simplify1.4s

Counts

142 → 142

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	184	2512
1	457	2077
2	1245	1811
done	5001	1773

prune717.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 31.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (+ (exp (- c)) (exp c))))
0.0b	(pow (/ (expm1 (log1p (+ (exp (- c)) (exp c)))) 2) 3)
1.7b	(log1p (+ (exp (- c)) (exp c)))
38.0b	(fmod (cbrt (pow (/ (expm1 (log1p (+ (exp (- c)) (exp c)))) 2) 3)) (log1p a))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`unpow-prod-down` `cube-prod`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `expm1-log1p-u`
4×	`log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-exp` `div-inv` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-div` `cube-mult` `pow-to-exp` `log1p-udef` `expm1-log1p` `pow-pow` `unpow3` `log1p-expm1` `div-exp` `expm1-udef` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

0.0ms	(expm1 (log1p (+ (exp (- c)) (exp c))))
13.0ms	(pow (/ (expm1 (log1p (+ (exp (- c)) (exp c)))) 2) 3)
1.0ms	(log1p (+ (exp (- c)) (exp c)))
1.0ms	(fmod (cbrt (pow (/ (expm1 (log1p (+ (exp (- c)) (exp c)))) 2) 3)) (log1p a))

series700.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(expm1 (log1p (+ (exp (- c)) (exp c))))
304.0ms	(pow (/ (expm1 (log1p (+ (exp (- c)) (exp c)))) 2) 3)
167.0ms	(log1p (+ (exp (- c)) (exp c)))
6.0ms	(fmod (cbrt (pow (/ (expm1 (log1p (+ (exp (- c)) (exp c)))) 2) 3)) (log1p a))

simplify1.3s

Counts

91 → 91

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	156	1582
1	381	1248
2	1070	1080
done	5000	1063

prune453.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 31.5b

regimes620.0ms

Accuracy

0% (1.9b remaining)

Error of 34.1b against oracle of 32.2b and baseline of 34.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	19
1	18	19
done	18	19

end0.0ms

sample20.1s

Algorithm

intervals

Results

15.2s	7817×	body	10240	exit
1.8s	2253×	body	1280	valid
753.0ms	1636×	body	640	valid
390.0ms	5268×	body	80	nan
327.0ms	2764×	body	80	valid
277.0ms	160×	body	2560	valid
234.0ms	787×	body	320	valid
73.0ms	390×	body	160	valid
26.0ms	10×	body	5120	valid