Details

Time bar (total: 1.6m)

sample221.0ms

Algorithm
intervals
Results
156.0ms257×body80valid
25.0ms262×body80nan

simplify13.9s

Counts
1 → 1
Iterations
IterNodes
done5003
64352
52077
4626
3203
263
121
010

prune166.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (+ 0.5 y) (log y) z)
0.1b
(- y (fma (+ 0.5 y) (log y) z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt prod-diff
4×add-log-exp
3×fma-neg
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
1×sub-neg flip3-- diff-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
2 → 39
Calls
2 calls:
1.0ms
(fma (+ 0.5 y) (log y) z)
41.0ms
(- y (fma (+ 0.5 y) (log y) z))

series371.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(fma (+ 0.5 y) (log y) z)
268.0ms
(- y (fma (+ 0.5 y) (log y) z))

simplify7.8s

Counts
45 → 45
Iterations
IterNodes
done5000
33244
2704
1219
094

prune583.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y (fma (+ 0.5 y) (log y) z))) (cbrt (- y (fma (+ 0.5 y) (log y) z))))
0.6b
(cbrt (- y (fma (+ 0.5 y) (log y) z)))
0.6b
(cbrt (- y (fma (+ 0.5 y) (log y) z)))
0.6b
(cbrt (- y (fma (+ 0.5 y) (log y) z)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
84.0ms
(* (cbrt (- y (fma (+ 0.5 y) (log y) z))) (cbrt (- y (fma (+ 0.5 y) (log y) z))))
9.0ms
(cbrt (- y (fma (+ 0.5 y) (log y) z)))
19.0ms
(cbrt (- y (fma (+ 0.5 y) (log y) z)))
10.0ms
(cbrt (- y (fma (+ 0.5 y) (log y) z)))

series19.1s

Counts
4 → 12
Calls
4 calls:
13.1s
(* (cbrt (- y (fma (+ 0.5 y) (log y) z))) (cbrt (- y (fma (+ 0.5 y) (log y) z))))
2.5s
(cbrt (- y (fma (+ 0.5 y) (log y) z)))
1.5s
(cbrt (- y (fma (+ 0.5 y) (log y) z)))
2.0s
(cbrt (- y (fma (+ 0.5 y) (log y) z)))

simplify22.8s

Counts
121 → 121
Iterations
IterNodes
done5000
24872
11079
0323

prune4.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize253.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
62.4b
(fma (- (cbrt (fma (+ 0.5 y) (log y) z))) (* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z))) (* (cbrt (fma (+ 0.5 y) (log y) z)) (* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z)))))

rewrite10.0ms

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:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)
1.0ms
(fma (- (cbrt (fma (+ 0.5 y) (log y) z))) (* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z))) (* (cbrt (fma (+ 0.5 y) (log y) z)) (* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z)))))

series3.8s

Counts
4 → 12
Calls
4 calls:
2.1s
(cbrt y)
418.0ms
(cbrt y)
345.0ms
(cbrt y)
913.0ms
(fma (- (cbrt (fma (+ 0.5 y) (log y) z))) (* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z))) (* (cbrt (fma (+ 0.5 y) (log y) z)) (* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z)))))

simplify9.5s

Counts
61 → 61
Iterations
IterNodes
done5000
34533
2943
1277
0110

prune1.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize218.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
4.3b
(exp (* 1/3 (log y)))
62.4b
(fma (- (cbrt (fma (+ 0.5 y) (log y) z))) (* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z))) (* (cbrt (fma (+ 0.5 y) (log y) z)) (* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod log-prod exp-sum add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×distribute-rgt-in distribute-lft-in
2×pow1/3
1×exp-prod exp-to-pow fma-udef rem-exp-log
Counts
4 → 54
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
12.0ms
(exp (* 1/3 (log y)))
1.0ms
(fma (- (cbrt (fma (+ 0.5 y) (log y) z))) (* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z))) (* (cbrt (fma (+ 0.5 y) (log y) z)) (* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z)))))

series3.7s

Counts
4 → 12
Calls
4 calls:
634.0ms
(cbrt y)
656.0ms
(cbrt y)
795.0ms
(exp (* 1/3 (log y)))
1.5s
(fma (- (cbrt (fma (+ 0.5 y) (log y) z))) (* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z))) (* (cbrt (fma (+ 0.5 y) (log y) z)) (* (cbrt (fma (+ 0.5 y) (log y) z)) (cbrt (fma (+ 0.5 y) (log y) z)))))

simplify4.4s

Counts
66 → 66
Iterations
IterNodes
done5000
21145
1339
0146

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes751.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify17.0ms

Iterations
IterNodes
done35
235
131
021

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.5s7807×body80nan
1.1s8037×body80valid
0.0ms1×body320valid