Details

sample1.4s

Algorithm

intervals

Results

1.2s	229×	body	10240	exit
68.0ms	63×	body	1280	valid
35.0ms	55×	body	640	valid
19.0ms	168×	body	80	nan
14.0ms	98×	body	80	valid
10.0ms	23×	body	320	valid
8.0ms	3×	body	2560	valid
4.0ms	14×	body	160	valid

simplify21.0ms

Calls

1 calls:

Slowest

20.0ms

(fmod (cosh c) (log1p a))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize52.0ms

Local error

Found 2 expressions with local error:

36.8b	(fmod (cosh c) (log1p a))
0.0b	(log1p a)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

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

series59.0ms

Calls

2 calls:

Slowest

42.0ms	(log1p a)
17.0ms	(fmod (cosh c) (log1p a))

simplify965.0ms

Calls

6 calls:

Slowest

445.0ms	(- (+ (/ 1 a) (log -1)) (+ (* 1/2 (/ 1 (pow a 2))) (log (/ -1 a))))
315.0ms	(- (+ a (* 1/3 (pow a 3))) (* 1/2 (pow a 2)))
171.0ms	(- (/ 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))

prune404.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 31.7b

localize25.0ms

Local error

Found 4 expressions with local error:

36.8b	(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))

rewrite5.0ms

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`

Calls

4 calls:

Slowest

2.0ms	(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))))

series171.0ms

Calls

4 calls:

Slowest

57.0ms	(cbrt (log1p a))
55.0ms	(cbrt (log1p a))
55.0ms	(cbrt (log1p a))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.7s

Calls

21 calls:

Slowest

275.0ms	(- (+ (* 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)))))
244.0ms	(- (+ (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)))))
225.0ms	(- (+ (* 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)))))
199.0ms	(- (+ (* 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)))))
173.0ms	(- (+ (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)))))

prune1.2s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 31.0b

localize36.0ms

Local error

Found 4 expressions with local error:

36.7b	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
0.6b	(cbrt (cbrt (log1p a)))
0.6b	(cbrt (cbrt (log1p a)))
0.6b	(cbrt (cbrt (log1p a)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`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`

Calls

4 calls:

Slowest

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

series239.0ms

Calls

4 calls:

Slowest

81.0ms	(cbrt (cbrt (log1p a)))
77.0ms	(cbrt (cbrt (log1p a)))
76.0ms	(cbrt (cbrt (log1p a)))
6.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.8s

Calls

30 calls:

Slowest

221.0ms	(- (+ (pow (- (log -1) (log (/ -1 a))) 1/9) (* 1/9 (* (/ 1 a) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 8)) 1/9)))) (+ (* 4/81 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 17)) 1/9))) (* 1/18 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 8)) 1/9)))))
220.0ms	(- (+ (pow (- (log -1) (log (/ -1 a))) 1/9) (* 1/9 (* (/ 1 a) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 8)) 1/9)))) (+ (* 4/81 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 17)) 1/9))) (* 1/18 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 8)) 1/9)))))
209.0ms	(- (+ (pow (- (log (/ 1 a))) 1/9) (* 1/18 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 8)) 1/9)))) (+ (* 1/9 (* (/ 1 a) (pow (/ -1 (pow (log (/ 1 a)) 8)) 1/9))) (* 4/81 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 17)) 1/9)))))
207.0ms	(- (+ (pow (- (log -1) (log (/ -1 a))) 1/9) (* 1/9 (* (/ 1 a) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 8)) 1/9)))) (+ (* 4/81 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 17)) 1/9))) (* 1/18 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 8)) 1/9)))))
203.0ms	(- (+ (pow (- (log (/ 1 a))) 1/9) (* 1/18 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 8)) 1/9)))) (+ (* 1/9 (* (/ 1 a) (pow (/ -1 (pow (log (/ 1 a)) 8)) 1/9))) (* 4/81 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 17)) 1/9)))))

prune1.3s

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 30.5b

localize27.0ms

Local error

Found 4 expressions with local error:

36.8b	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
0.6b	(* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a)))))
0.6b	(cbrt (cbrt (cbrt (log1p a))))
0.6b	(cbrt (cbrt (cbrt (log1p a))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
18×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`associate-r` `associate-l`
9×	`pow1`
6×	`pow1/3` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

9.0ms	(* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a)))))
1.0ms	(cbrt (cbrt (cbrt (log1p a))))
1.0ms	(cbrt (cbrt (cbrt (log1p a))))
0.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series219.0ms

Calls

4 calls:

Slowest

75.0ms	(cbrt (cbrt (cbrt (log1p a))))
73.0ms	(cbrt (cbrt (cbrt (log1p a))))
66.0ms	(* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a)))))
4.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify2.2s

Calls

62 calls:

Slowest

359.0ms	(- (+ (pow (pow (- (log -1) (log (/ -1 a))) 2) 1/27) (+ (* 1/27 (* (/ (log (/ -1 a)) (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 52)) 1/27))) (+ (* 2/27 (* (/ (log -1) a) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 52)) 1/27))) (+ (* 1/27 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 52)) 1/27))) (* 104/729 (* (/ (* (log (/ -1 a)) (log -1)) (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 106)) 1/27))))))) (+ (* 2/27 (* (/ (log (/ -1 a)) a) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 52)) 1/27))) (+ (* 52/729 (* (/ (pow (log (/ -1 a)) 2) (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 106)) 1/27))) (+ (* 1/27 (* (/ (log -1) (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 52)) 1/27))) (* 52/729 (* (/ (pow (log -1) 2) (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 106)) 1/27)))))))
263.0ms	(- (+ (* 1/27 (* (/ 1 a) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 26)) 1/27))) (pow (- (log -1) (log (/ -1 a))) 1/27)) (+ (* 1/54 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 26)) 1/27))) (* 13/729 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 53)) 1/27)))))
225.0ms	(- (+ (* 1/27 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (log (/ 1 a)) 25)) 1/27))) (pow (pow (log (/ 1 a)) 2) 1/27)) (+ (* 2/27 (* (/ 1 a) (pow (/ 1 (pow (log (/ 1 a)) 25)) 1/27))) (* 25/729 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (log (/ 1 a)) 52)) 1/27)))))
221.0ms	(- (+ (pow (- (log (/ 1 a))) 1/27) (* 1/54 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 26)) 1/27)))) (+ (* 13/729 (* (/ 1 (pow a 2)) (pow (/ -1 (pow (log (/ 1 a)) 53)) 1/27))) (* 1/27 (* (/ 1 a) (pow (/ -1 (pow (log (/ 1 a)) 26)) 1/27)))))
203.0ms	(- (+ (* 1/27 (* (/ 1 a) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 26)) 1/27))) (pow (- (log -1) (log (/ -1 a))) 1/27)) (+ (* 1/54 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 26)) 1/27))) (* 13/729 (* (/ 1 (pow a 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 a))) 53)) 1/27)))))

prune1.8s

Pruning

44 alts after pruning (44 fresh and 0 done)

Merged error: 30.0b

regimes1.7s

Accuracy

0% (2.3b remaining)

Error of 33.4b against oracle of 31.2b and baseline of 33.4b

bsearch9.0ms

end0.0ms

sample18.2s

Algorithm

intervals

Results

12.8s	7675×	body	10240	exit
2.1s	2291×	body	1280	valid
1.4s	1541×	body	640	valid
489.0ms	5257×	body	80	nan
341.0ms	2840×	body	80	valid
270.0ms	756×	body	320	valid
227.0ms	152×	body	2560	valid
88.0ms	409×	body	160	valid
24.0ms	11×	body	5120	valid