Details

Time bar (total: 14.0s)

sample31.0ms

Algorithm
intervals
Results
13.0ms319×body80valid

simplify74.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3527
4817
5877
done877

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
3.7b
(* x (- 1.0 (* y z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×add-cube-cbrt *-un-lft-identity
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
6.0ms
(- 1.0 (* y z))
19.0ms
(* x (- 1.0 (* y z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- 1.0 (* y z))
61.0ms
(* x (- 1.0 (* y z)))

simplify1.3s

Counts
58 → 58
Iterations

Useful iterations: done (1.3s)

IterNodesCost
081610
1176601
2457528
31527516
done5001462

prune165.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (- (* y z)) x))
6.0b
(* (- (* y z)) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*l*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×distribute-lft-neg-out associate-*r*
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-out fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 41
Calls
2 calls:
13.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
18.0ms
(* (- (* y z)) x)

series135.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
40.0ms
(* (- (* y z)) x)

simplify2.0s

Counts
47 → 47
Iterations

Useful iterations: done (2.0s)

IterNodesCost
070457
1192378
2902351
done5000348

prune162.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

6.0b
(* (- (* y z)) x)
11.4b
(cbrt (* (- (* y z)) x))
11.4b
(cbrt (* (- (* y z)) x))
11.4b
(cbrt (* (- (* y z)) x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
18.0ms
(* (- (* y z)) x)
6.0ms
(cbrt (* (- (* y z)) x))
8.0ms
(cbrt (* (- (* y z)) x))
9.0ms
(cbrt (* (- (* y z)) x))

series481.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (- (* y z)) x)
147.0ms
(cbrt (* (- (* y z)) x))
157.0ms
(cbrt (* (- (* y z)) x))
148.0ms
(cbrt (* (- (* y z)) x))

simplify3.5s

Counts
69 → 69
Iterations

Useful iterations: done (3.5s)

IterNodesCost
083671
1190653
2723585
33286561
done5000531

prune262.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

6.0b
(* (- (* y z)) x)
11.3b
(cbrt (- (* y z)))
11.4b
(cbrt (* (- (* y z)) x))
11.4b
(cbrt (* (- (* y z)) x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×cbrt-prod
7×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log associate-*l* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
2×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
1×distribute-lft-neg-out pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 62
Calls
4 calls:
16.0ms
(* (- (* y z)) x)
2.0ms
(cbrt (- (* y z)))
6.0ms
(cbrt (* (- (* y z)) x))
6.0ms
(cbrt (* (- (* y z)) x))

series405.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (- (* y z)) x)
140.0ms
(cbrt (- (* y z)))
121.0ms
(cbrt (* (- (* y z)) x))
111.0ms
(cbrt (* (- (* y z)) x))

simplify3.6s

Counts
74 → 74
Iterations

Useful iterations: done (3.6s)

IterNodesCost
0112683
1240665
2814602
33499573
done5000551

prune310.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes274.0ms

Accuracy

94.6% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.3b

bsearch3.0ms

simplify15.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01942
13733
24933
35333
done5333

end0.0ms

sample922.0ms

Algorithm
intervals
Results
448.0ms9608×body80valid