Details

Time bar (total: 11.7s)

sample44.0ms

Algorithm
intervals
Results
17.0ms330×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
5943
4264
392
234
114
08

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* (- 1.0 y) z))
2.2b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×*-un-lft-identity add-cube-cbrt
5×distribute-rgt-in distribute-lft-in
4×pow1 add-cbrt-cube add-exp-log add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ log1p-expm1-u flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
10.0ms
(- 1.0 (* (- 1.0 y) z))
28.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(- 1.0 (* (- 1.0 y) z))
73.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify587.0ms

Counts
58 → 58
Iterations
IterNodes
done5000
2875
1220
089

prune320.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

3.2b
(* (* z x) (- y 1.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-cbrt-cube add-exp-log
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
24.0ms
(* (* z x) (- y 1.0))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(* (* z x) (- y 1.0))

simplify1.7s

Counts
49 → 49
Iterations
IterNodes
done5000
22092
1334
0115

prune167.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.4b
(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.9b
(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite324.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
41×pow1
40×flip3-- flip--
38×cbrt-prod
36×frac-times add-exp-log
35×add-sqr-sqrt
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
17×associate-*r*
15×add-cube-cbrt
10×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 167
Calls
4 calls:
4.0ms
(cbrt (- y 1.0))
36.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
219.0ms
(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
57.0ms
(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series643.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(cbrt (- y 1.0))
170.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
107.0ms
(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
248.0ms
(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify2.1s

Counts
179 → 179
Iterations
IterNodes
done5000
24041
1853
0297

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

2.2b
(* (* (- 1.0 y) z) (- x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
6×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt *-un-lft-identity associate-*l/ add-cube-cbrt
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
1×expm1-log1p-u neg-mul-1 flip3-- associate-*l* *-commutative distribute-rgt-neg-out log1p-expm1-u flip-- add-log-exp
Counts
1 → 30
Calls
1 calls:
43.0ms
(* (* (- 1.0 y) z) (- x))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* (* (- 1.0 y) z) (- x))

simplify756.0ms

Counts
33 → 33
Iterations
IterNodes
done5000
21171
1215
074

prune181.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes417.0ms

Accuracy

86.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify5.0ms

Iterations
IterNodes
done42
342
235
131
020

end0.0ms

sample1.5s

Algorithm
intervals
Results
460.0ms10060×body80valid