Details

sample803.0ms

Algorithm

intervals

Results

586.0ms	235×	body	10240	exit
82.0ms	72×	body	1280	valid
44.0ms	180×	body	80	nan
26.0ms	38×	body	640	valid
15.0ms	109×	body	80	valid
9.0ms	22×	body	320	valid
5.0ms	2×	body	2560	valid
4.0ms	13×	body	160	valid

simplify17.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

17.0ms

(fmod (cosh c) (log1p a))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize13.0ms

Local error

Found 2 expressions with local error:

34.1b	(fmod (cosh c) (log1p a))
0.0b	(log1p a)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`expm1-log1p-u`
2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `log1p-expm1`

Counts

2 → 22

Calls

2 calls:

Slowest

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

series79.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

43.0ms	(log1p a)
36.0ms	(fmod (cosh c) (log1p a))

simplify1.3s

Counts

6 → 28

Calls

6 calls:

Slowest

694.0ms	(- (+ a (* 1/3 (pow a 3))) (* 1/2 (pow a 2)))
357.0ms	(- (+ (/ 1 a) (log -1)) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ -1 a))))
207.0ms	(- (/ 1 a) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ 1 a))))
11.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))

prune370.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 29.2b

localize21.0ms

Local error

Found 4 expressions with local error:

34.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 52

Calls

4 calls:

Slowest

4.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(cbrt (log1p a))
67.0ms	(cbrt (log1p a))
66.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify2.8s

Counts

21 → 64

Calls

21 calls:

Slowest

406.0ms	(- (+ (* 1/3 (* (/ 1 a) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 2)) 1/3))) (pow (- (log -1) (log (/ -1 a))) 1/3)) (+ (* 1/6 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 2)) 1/3))) (* 1/9 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 5)) 1/3)))))
364.0ms	(- (+ (* 1/3 (* (/ 1 a) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 2)) 1/3))) (pow (- (log -1) (log (/ -1 a))) 1/3)) (+ (* 1/6 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 2)) 1/3))) (* 1/9 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 5)) 1/3)))))
354.0ms	(- (+ (pow (- (log (/ 1 a))) 1/3) (* 1/6 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 2)) 1/3)))) (+ (* 1/9 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 5)) 1/3))) (* 1/3 (* (/ 1 a) (pow (/ -1 (pow (log (/ 1 a)) 2)) 1/3)))))
326.0ms	(- (+ (pow (- (log (/ 1 a))) 1/3) (* 1/6 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 2)) 1/3)))) (+ (* 1/9 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 5)) 1/3))) (* 1/3 (* (/ 1 a) (pow (/ -1 (pow (log (/ 1 a)) 2)) 1/3)))))
326.0ms	(- (+ (* 1/3 (* (/ 1 a) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 2)) 1/3))) (pow (- (log -1) (log (/ -1 a))) 1/3)) (+ (* 1/6 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 2)) 1/3))) (* 1/9 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 5)) 1/3)))))

prune958.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 28.6b

localize25.0ms

Local error

Found 4 expressions with local error:

34.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
1.0b	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
2×	`pow1/3`
1×	`rem-log-exp` `log-pow`

Counts

4 → 53

Calls

4 calls:

Slowest

1.0ms	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(cbrt (log1p a))
52.0ms	(cbrt (log1p a))
30.0ms	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify2.2s

Counts

22 → 65

Calls

22 calls:

Slowest

399.0ms	(- (+ (* 1/3 (* (/ 1 a) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 2)) 1/3))) (pow (- (log -1) (log (/ -1 a))) 1/3)) (+ (* 1/6 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 2)) 1/3))) (* 1/9 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 5)) 1/3)))))
331.0ms	(- (+ (pow (- (log (/ 1 a))) 1/3) (* 1/6 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 2)) 1/3)))) (+ (* 1/9 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 5)) 1/3))) (* 1/3 (* (/ 1 a) (pow (/ -1 (pow (log (/ 1 a)) 2)) 1/3)))))
331.0ms	(- (+ (* 1/3 (* (/ 1 a) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 2)) 1/3))) (pow (- (log -1) (log (/ -1 a))) 1/3)) (+ (* 1/6 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 2)) 1/3))) (* 1/9 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 5)) 1/3)))))
280.0ms	(- (+ (* 1/12 (pow (pow a 7) 1/3)) (pow a 1/3)) (* 1/6 (pow (pow a 4) 1/3)))
265.0ms	(- (+ (pow (- (log (/ 1 a))) 1/3) (* 1/6 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 2)) 1/3)))) (+ (* 1/9 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 5)) 1/3))) (* 1/3 (* (/ 1 a) (pow (/ -1 (pow (log (/ 1 a)) 2)) 1/3)))))

prune1.1s

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 28.6b

localize64.0ms

Local error

Found 4 expressions with local error:

34.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
34.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
34.1b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
1.0b	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 45

Calls

4 calls:

Slowest

2.0ms	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
1.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

34.0ms	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify326.0ms

Counts

16 → 57

Calls

16 calls:

Slowest

77.0ms	(log (sqrt (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))))
74.0ms	(log (* (cbrt (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))) (cbrt (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))))
72.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
12.0ms	(log (fmod (cosh c) (log1p a)))
12.0ms	(log (fmod (cosh c) (log1p a)))

prune843.0ms

Pruning

36 alts after pruning (34 fresh and 2 done)

Merged error: 28.5b

regimes1.1s

Accuracy

0% (1.6b remaining)

Error of 33.6b against oracle of 32.0b and baseline of 33.6b

bsearch4.0ms

end0.0ms

sample16.6s

Algorithm

intervals

Results

12.2s	7772×	body	10240	exit
2.1s	2349×	body	1280	valid
658.0ms	1548×	body	640	valid
403.0ms	5267×	body	80	nan
341.0ms	2813×	body	80	valid
221.0ms	768×	body	320	valid
194.0ms	128×	body	2560	valid
71.0ms	381×	body	160	valid
25.0ms	13×	body	5120	valid