Details

Time bar (total: 48.8s)

sample299.0ms

Algorithm
intervals
Results
153.0ms832×body80nan
34.0ms185×body80valid
25.0ms26×body640valid
15.0ms10×body1280valid
13.0ms21×body320valid
6.0ms16×body160valid

simplify7.1s

Counts
1 → 1
Iterations
IterNodes
done5000
73035
61487
5740
4335
3130
257
127
014

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma (- x 1.0) (log y) (* (log (- 1.0 y)) (- z 1.0))) t)
0.0b
(* (log (- 1.0 y)) (- z 1.0))
0.1b
(fma (- x 1.0) (log y) (* (log (- 1.0 y)) (- z 1.0)))
6.8b
(log (- 1.0 y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
32×*-un-lft-identity
27×prod-diff
26×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×log-prod associate-*r*
4×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u
3×sub-neg flip3-- fma-neg flip-- distribute-lft-out-- difference-of-squares
2×log-div associate-*r/ log-pow fma-udef
1×diff-log rem-log-exp pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
Counts
4 → 108
Calls
4 calls:
9.0ms
(- (fma (- x 1.0) (log y) (* (log (- 1.0 y)) (- z 1.0))) t)
30.0ms
(* (log (- 1.0 y)) (- z 1.0))
0.0ms
(fma (- x 1.0) (log y) (* (log (- 1.0 y)) (- z 1.0)))
7.0ms
(log (- 1.0 y))

series465.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(- (fma (- x 1.0) (log y) (* (log (- 1.0 y)) (- z 1.0))) t)
53.0ms
(* (log (- 1.0 y)) (- z 1.0))
132.0ms
(fma (- x 1.0) (log y) (* (log (- 1.0 y)) (- z 1.0)))
68.0ms
(log (- 1.0 y))

simplify1.5s

Counts
120 → 120
Iterations
IterNodes
done5000
21577
1619
0260

prune624.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))
0.0b
(* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))
0.1b
(fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×*-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 flip3-- associate-*l* flip--
5×add-cbrt-cube associate-*r* add-exp-log
4×frac-times
3×expm1-log1p-u insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp
2×sub-neg associate-*l/ associate-*r/ fma-udef difference-of-squares
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
Counts
3 → 78
Calls
3 calls:
0.0ms
(fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))
29.0ms
(* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))
0.0ms
(fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0)))

series308.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))
65.0ms
(* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))
143.0ms
(fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0)))

simplify1.9s

Counts
87 → 87
Iterations
IterNodes
done5004
21558
1434
0180

prune691.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize74.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0)))) (cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0)))))
0.5b
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
0.5b
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
0.5b
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
13.0ms
(* (cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0)))) (cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0)))))
1.0ms
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
1.0ms
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
1.0ms
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))

series9.8s

Counts
4 → 12
Calls
4 calls:
3.0s
(* (cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0)))) (cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0)))))
2.4s
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
2.1s
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
2.2s
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))

simplify3.0s

Counts
97 → 97
Iterations
IterNodes
done5014
22348
1653
0220

prune983.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize107.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
0.5b
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
0.5b
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
0.5b
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
1.0ms
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
1.0ms
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
1.0ms
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))

series9.8s

Counts
4 → 12
Calls
4 calls:
2.2s
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
2.2s
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
2.8s
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))
2.6s
(cbrt (fma (- x 1.0) (log y) (* (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) (- z 1.0))))

simplify1.9s

Counts
68 → 68
Iterations
IterNodes
done5000
21154
1325
0119

prune767.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

regimes618.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done20
120
018

end0.0ms

sample8.6s

Algorithm
intervals
Results
4.9s24405×body80nan
1.2s5990×body80valid
612.0ms730×body640valid
353.0ms641×body320valid
333.0ms258×body1280valid
166.0ms417×body160valid