Details

Time bar (total: 8.8s)

sample26.0ms

Algorithm
intervals
Results
14.0ms335×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
089
1199
2468
3918
41428
51828
62438
78668
done50008

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 0.253 (* x 0.12))
0.0b
(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
add-log-exp
pow1 add-exp-log add-cbrt-cube
expm1-log1p-u fma-def fma-neg associate-*r* associate-*l* prod-diff log1p-expm1-u
distribute-rgt-in distribute-lft-in flip3-+ associate-*r/ flip-+ associate--r+
+-commutative sub-neg flip3-- diff-log pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 62
Calls
3 calls:
6.0ms
(+ 0.253 (* x 0.12))
6.0ms
(- 1.0 (* x (+ 0.253 (* x 0.12))))
31.0ms
(* x (+ 0.253 (* x 0.12)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ 0.253 (* x 0.12))
34.0ms
(- 1.0 (* x (+ 0.253 (* x 0.12))))
117.0ms
(* x (+ 0.253 (* x 0.12)))

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0100774
1284732
21330615
done5001609

prune276.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (fma 0.12 (* x x) (* 0.253 x)))
0.1b
(fma 0.12 (* x x) (* 0.253 x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
add-cube-cbrt prod-diff
add-log-exp
fma-neg
pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
sub-neg flip3-- diff-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
2 → 39
Calls
2 calls:
7.0ms
(- 1.0 (fma 0.12 (* x x) (* 0.253 x)))
0.0ms
(fma 0.12 (* x x) (* 0.253 x))

series111.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- 1.0 (fma 0.12 (* x x) (* 0.253 x)))
73.0ms
(fma 0.12 (* x x) (* 0.253 x))

simplify661.0ms

Counts
45 → 45
Iterations

Useful iterations: done (659.0ms)

IterNodesCost
0721068
1164784
2682569
done5001431

prune102.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) x) (cbrt (+ 0.253 (* x 0.12))))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (fma 0.12 x 0.253))
0.8b
(cbrt (fma 0.12 x 0.253))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
pow1/3
flip3-+ associate-*r/ flip-+
associate-*l* *-commutative
Counts
4 → 69
Calls
4 calls:
145.0ms
(* (* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) x) (cbrt (+ 0.253 (* x 0.12))))
6.0ms
(cbrt (+ 0.253 (* x 0.12)))
2.0ms
(cbrt (fma 0.12 x 0.253))
2.0ms
(cbrt (fma 0.12 x 0.253))

series953.0ms

Counts
4 → 12
Calls
4 calls:
399.0ms
(* (* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) x) (cbrt (+ 0.253 (* x 0.12))))
196.0ms
(cbrt (+ 0.253 (* x 0.12)))
193.0ms
(cbrt (fma 0.12 x 0.253))
164.0ms
(cbrt (fma 0.12 x 0.253))

simplify2.1s

Counts
81 → 81
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02061743
15411614
226781322
done50021192

prune456.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
1910
done910

end0.0ms

sample831.0ms

Algorithm
intervals
Results
553.0ms10712×body80valid