Details

Time bar (total: 11.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms295×body80valid

simplify48.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07124
111124
224124
352124
483124
589124
done89124

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize8.0ms

Local error

Found 1 expressions with local error:

2.5b
(* x (- 1.0 (* y z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in *-un-lft-identity distribute-lft-in add-cube-cbrt
3×pow1 add-cbrt-cube associate-*r* associate-*l* add-exp-log
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
14.0ms
(* x (- 1.0 (* y z)))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* x (- 1.0 (* y z)))

simplify3.3s

Counts
35 → 35
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0708041
11687619
26747207
340736862
done50006862

prune148.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (- (* y z)) x))
5.9b
(* (- (* y z)) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*l*
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×distribute-lft-neg-out associate-*r*
2×expm1-log1p-u log1p-expm1-u
1×distribute-lft-neg-in +-commutative neg-mul-1 sum-log fma-def distribute-rgt-neg-in flip3-+ distribute-rgt-out unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 41
Calls
2 calls:
9.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
8.0ms
(* (- (* y z)) x)

series92.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
28.0ms
(* (- (* y z)) x)

simplify1.2s

Counts
47 → 47
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0709209
11978260
211407570
done50007530

prune223.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))
0.9b
(* (* (- (* y z)) (* (cbrt x) (cbrt x))) (cbrt x))
5.1b
(* (- (* y z)) (* (cbrt x) (cbrt x)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt pow1
22×cbrt-prod
20×add-exp-log
16×*-un-lft-identity add-cube-cbrt
13×associate-*r* associate-*l*
11×add-cbrt-cube pow-prod-down
10×prod-exp cbrt-unprod
7×pow1/3
6×swap-sqr
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-out *-commutative
2×pow-sqr pow-prod-up
1×pow2 distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-plus
Counts
4 → 107
Calls
4 calls:
1.0ms
(cbrt x)
9.0ms
(* (cbrt x) (cbrt x))
60.0ms
(* (* (- (* y z)) (* (cbrt x) (cbrt x))) (cbrt x))
23.0ms
(* (- (* y z)) (* (cbrt x) (cbrt x)))

series802.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(cbrt x)
345.0ms
(* (cbrt x) (cbrt x))
84.0ms
(* (* (- (* y z)) (* (cbrt x) (cbrt x))) (cbrt x))
163.0ms
(* (- (* y z)) (* (cbrt x) (cbrt x)))

simplify1.8s

Counts
119 → 119
Iterations

Useful iterations: done (1.8s)

IterNodesCost
012830814
134027323
2225626867
done500223504

prune622.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (- y) (* z x)))
5.3b
(* (- y) (* z x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
7×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative neg-mul-1 sum-log fma-def flip3-+ associate-*r* unsub-neg *-commutative flip-+
Counts
2 → 44
Calls
2 calls:
11.0ms
(+ (* 1.0 x) (* (- y) (* z x)))
30.0ms
(* (- y) (* z x))

series136.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(+ (* 1.0 x) (* (- y) (* z x)))
42.0ms
(* (- y) (* z x))

simplify1.2s

Counts
50 → 50
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0779786
12228778
29957928
done50007888

prune176.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes338.0ms

Accuracy

89.7% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
019626
136626
246626
352626
done52626

end0.0ms

sample852.0ms

Algorithm
intervals
Results
585.0ms9682×body80valid