Details

Time bar (total: 37.2s)

sample395.0ms

Algorithm
intervals
Results
181.0ms1266×body80nan
46.0ms410×body80valid
7.0ms12×body640valid
3.0ms7×body320valid
2.0ms9×body160valid
1.0ms1×body1280valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
01718
13117
26217
313517
433517
5109117
done500017

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (- (log (- 1.0 z)) b))
0.0b
(exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b))))
0.3b
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
4.6b
(log (- 1.0 z))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
33×*-un-lft-identity
24×add-cube-cbrt prod-diff
19×distribute-rgt-in distribute-lft-in
15×log-prod
14×pow1
10×associate--l+
8×log-pow
7×add-exp-log
6×associate-*r* add-cbrt-cube
5×distribute-lft-out-- add-log-exp
4×expm1-log1p-u log1p-expm1-u difference-of-squares
3×exp-prod associate-*l*
2×sub-neg log-div flip3-- associate-*r/ flip-- fma-udef
1×rem-log-exp exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 105
Calls
4 calls:
63.0ms
(* a (- (log (- 1.0 z)) b))
4.0ms
(exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b))))
1.0ms
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
14.0ms
(log (- 1.0 z))

series728.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* a (- (log (- 1.0 z)) b))
219.0ms
(exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b))))
327.0ms
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
74.0ms
(log (- 1.0 z))

simplify3.0s

Counts
117 → 117
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02472045
15241768
212341510
337041415
done50001412

prune557.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log z) t)
0.0b
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
0.0b
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
0.3b
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
72×prod-diff
68×add-sqr-sqrt
50×add-cube-cbrt
43×associate--l+
37×distribute-rgt-in distribute-lft-in
24×pow1
19×distribute-lft-out--
18×log-pow
9×log-prod
8×difference-of-squares
7×associate-*r*
6×add-exp-log add-cbrt-cube add-log-exp
5×sub-neg
4×expm1-log1p-u fma-neg log1p-expm1-u
3×exp-prod associate-*l*
2×flip3-- associate-*r/ flip-- fma-udef
1×diff-log exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 160
Calls
4 calls:
18.0ms
(- (log z) t)
196.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
2.0ms
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
0.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

series740.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (log z) t)
133.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
230.0ms
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
296.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

simplify1.1s

Counts
172 → 172
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03186407
15724936
212114010
done50003181

prune815.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b)))))
14.5b
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
14.5b
(cbrt (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))
14.5b
(cbrt (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
0.0ms
(fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b)))))
1.0ms
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
1.0ms
(cbrt (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))
1.0ms
(cbrt (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))

series3.6s

Counts
4 → 12
Calls
4 calls:
324.0ms
(fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b)))))
1.8s
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
759.0ms
(cbrt (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))
736.0ms
(cbrt (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))

simplify1.7s

Counts
61 → 61
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01682398
13802350
29452115
328572004
done50001914

prune954.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (exp (cbrt (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))) (cbrt (fma (log 1.0) a (* (- (log z) t) y))))
7.4b
(cbrt (fma (log 1.0) a (* (- (log z) t) y)))
14.5b
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
14.5b
(cbrt (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×pow-pow
6×pow-unpow exp-prod
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×unpow-prod-down pow1/3
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 67
Calls
4 calls:
12.0ms
(pow (exp (cbrt (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))) (cbrt (fma (log 1.0) a (* (- (log z) t) y))))
1.0ms
(cbrt (fma (log 1.0) a (* (- (log z) t) y)))
1.0ms
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
2.0ms
(cbrt (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))

series5.3s

Counts
4 → 12
Calls
4 calls:
1.5s
(pow (exp (cbrt (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))) (cbrt (fma (log 1.0) a (* (- (log z) t) y))))
1.2s
(cbrt (fma (log 1.0) a (* (- (log z) t) y)))
1.9s
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
715.0ms
(cbrt (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))

simplify1.1s

Counts
79 → 79
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02763499
16683361
218193115
done50002999

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes291.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03281
13681
done3681

end0.0ms

sample13.4s

Algorithm
intervals
Results
6.3s41350×body80nan
2.2s12411×body80valid
221.0ms394×body640valid
151.0ms407×body320valid
83.0ms82×body1280valid
62.0ms282×body160valid