Details

Time bar (total: 13.0s)

sample21.0ms

Algorithm
intervals
Results
10.0ms299×body80valid

simplify69.0ms

Counts
1 → 1
Iterations
IterNodes
done86
586
479
352
224
111
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize16.0ms

Local error

Found 1 expressions with local error:

1.7b
(* x (- 1.0 (* y z)))

rewrite29.0ms

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:
27.0ms
(* x (- 1.0 (* y z)))

series94.0ms

Counts
1 → 3
Calls
1 calls:
94.0ms
(* x (- 1.0 (* y z)))

simplify1.6s

Counts
35 → 35
Iterations
IterNodes
done5000
31725
2488
1158
070

prune146.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.7b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:
6.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
9.0ms
(* (- (* y z)) x)

series105.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
35.0ms
(* (- (* y z)) x)

simplify2.3s

Counts
47 → 47
Iterations
IterNodes
done5000
33252
2797
1197
070

prune229.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
1.9b
(cbrt (- 1.0 (* y z)))
1.9b
(cbrt (- 1.0 (* y z)))
1.9b
(cbrt (- 1.0 (* y z)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×cbrt-prod add-sqr-sqrt pow1 flip3-- add-exp-log flip--
8×*-un-lft-identity add-cube-cbrt
7×add-cbrt-cube
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 74
Calls
4 calls:
69.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
5.0ms
(cbrt (- 1.0 (* y z)))
5.0ms
(cbrt (- 1.0 (* y z)))
4.0ms
(cbrt (- 1.0 (* y z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
132.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
316.0ms
(cbrt (- 1.0 (* y z)))
289.0ms
(cbrt (- 1.0 (* y z)))
314.0ms
(cbrt (- 1.0 (* y z)))

simplify2.4s

Counts
86 → 86
Iterations
IterNodes
done5108
33670
2993
1354
0139

prune615.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* y (* (- z) x)))
6.2b
(* y (* (- z) x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×distribute-lft-neg-out add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp distribute-rgt-neg-out add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ associate-*r* unsub-neg *-commutative flip-+
Counts
2 → 37
Calls
2 calls:
7.0ms
(+ (* 1.0 x) (* y (* (- z) x)))
22.0ms
(* y (* (- z) x))

series114.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(+ (* 1.0 x) (* y (* (- z) x)))
45.0ms
(* y (* (- z) x))

simplify2.7s

Counts
43 → 43
Iterations
IterNodes
done5000
34038
2774
1201
070

prune236.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes483.0ms

Accuracy

47.2% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.6b

bsearch2.0ms

simplify10.0ms

Iterations
IterNodes
done47
347
243
130
016

end0.0ms

sample617.0ms

Algorithm
intervals
Results
280.0ms9540×body80valid