Details

sample583.0ms

Algorithm

intervals

Results

393.0ms	251×	body	10240	exit
56.0ms	200×	body	80	nan
53.0ms	74×	body	1280	valid
17.0ms	48×	body	640	valid
7.0ms	91×	body	80	valid
7.0ms	5×	body	2560	valid
5.0ms	26×	body	320	valid
2.0ms	11×	body	160	valid
1.0ms	1×	body	5120	valid

simplify54.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.7b

localize16.0ms

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))

series94.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(cosh c)
17.0ms	(fmod (cosh c) (log1p a))

simplify4.0s

Counts

21 → 21

Iterations

Useful iterations: 2 (41.0ms)

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

prune138.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 33.4b

localize20.0ms

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))

rewrite9.0ms

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))
4.0ms	(pow (cosh c) 3)
0.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

series260.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(cosh c)
57.0ms	(cbrt (pow (cosh c) 3))
113.0ms	(pow (cosh c) 3)
3.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

simplify3.0s

Counts

73 → 73

Iterations

Useful iterations: 3 (835.0ms)

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

prune281.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 33.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* 1/8 (pow (+ (exp c) (exp (- c))) 3)))
0.0b	(+ (exp c) (exp (- c)))
0.0b	(pow (+ (exp c) (exp (- c))) 3)
38.0b	(fmod (cbrt (* 1/8 (pow (+ (exp c) (exp (- c))) 3))) (log1p a))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

42.0ms	(cbrt (* 1/8 (pow (+ (exp c) (exp (- c))) 3)))
24.0ms	(+ (exp c) (exp (- c)))
30.0ms	(pow (+ (exp c) (exp (- c))) 3)
0.0ms	(fmod (cbrt (* 1/8 (pow (+ (exp c) (exp (- c))) 3))) (log1p a))

series175.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(cbrt (* 1/8 (pow (+ (exp c) (exp (- c))) 3)))
37.0ms	(+ (exp c) (exp (- c)))
79.0ms	(pow (+ (exp c) (exp (- c))) 3)
5.0ms	(fmod (cbrt (* 1/8 (pow (+ (exp c) (exp (- c))) 3))) (log1p a))

simplify1.2s

Counts

69 → 69

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	111	972
1	264	877
2	842	777
done	5001	774

prune434.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 32.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (- c)) (exp c))
1.0b	(cbrt 1/8)
38.0b	(fmod (* (cbrt 1/8) (+ (exp (- c)) (exp c))) (log1p a))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
1×	`+-commutative` `flip3-+` `pow1/3` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 30

Calls

3 calls:

37.0ms	(+ (exp (- c)) (exp c))
1.0ms	(cbrt 1/8)
0.0ms	(fmod (* (cbrt 1/8) (+ (exp (- c)) (exp c))) (log1p a))

series53.0ms

Counts

3 → 7

Calls

3 calls:

44.0ms	(+ (exp (- c)) (exp c))
0.0ms	(cbrt 1/8)
9.0ms	(fmod (* (cbrt 1/8) (+ (exp (- c)) (exp c))) (log1p a))

simplify2.3s

Counts

37 → 37

Iterations

Useful iterations: 3 (192.0ms)

Iter	Nodes	Cost
0	69	382
1	149	372
2	307	325
3	592	321
4	2392	321
done	5001	321

prune238.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 31.9b

regimes700.0ms

Accuracy

0% (1.2b remaining)

Error of 33.8b against oracle of 32.6b and baseline of 33.8b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	41
1	17	41
done	17	41

end0.0ms

sample19.1s

Algorithm

intervals

Results

13.7s	7817×	body	10240	exit
1.8s	2253×	body	1280	valid
1.2s	1636×	body	640	valid
442.0ms	5268×	body	80	nan
303.0ms	2764×	body	80	valid
253.0ms	160×	body	2560	valid
217.0ms	787×	body	320	valid
149.0ms	390×	body	160	valid
23.0ms	10×	body	5120	valid