Details

Time bar (total: 10.3s)

sample35.0ms

Algorithm
intervals
Results
14.0ms340×body80valid

simplify137.0ms

Counts
1 → 1
Iterations
IterNodes
done133
6133
5129
4118
371
232
112
06

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (- 1.0 y) (* x y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
5×associate-*l*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ add-cube-cbrt
1×expm1-log1p-u flip3-- associate-*r* *-commutative log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls
1 calls:
37.0ms
(* (- 1.0 y) (* x y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* (- 1.0 y) (* x y))

simplify3.1s

Counts
27 → 27
Iterations
IterNodes
done5000
34848
2639
1146
055

prune119.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
54.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))

series579.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
140.0ms
(cbrt (- 1.0 y))
120.0ms
(cbrt (- 1.0 y))
140.0ms
(cbrt (- 1.0 y))

simplify902.0ms

Counts
121 → 121
Iterations
IterNodes
done5000
21243
1357
0154

prune656.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×cbrt-div add-cube-cbrt
4×expm1-log1p-u pow1 flip3-- add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 68
Calls
4 calls:
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))

series494.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(cbrt (- 1.0 y))
123.0ms
(cbrt (- 1.0 y))
137.0ms
(cbrt (- 1.0 y))
117.0ms
(cbrt (- 1.0 y))

simplify1.6s

Counts
80 → 80
Iterations
IterNodes
done5001
32090
2560
1196
085

prune602.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

5.0b
(* x (- (* 1.0 y) (* y y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×associate-*r*
3×distribute-rgt-in pow1 *-un-lft-identity distribute-lft-in add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
2×sub-neg prod-diff associate-*r/
1×expm1-log1p-u flip3-- distribute-rgt-out-- pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 29
Calls
1 calls:
22.0ms
(* x (- (* 1.0 y) (* y y)))

series103.0ms

Counts
1 → 3
Calls
1 calls:
103.0ms
(* x (- (* 1.0 y) (* y y)))

simplify598.0ms

Counts
32 → 32
Iterations
IterNodes
done5000
2851
1170
063

prune146.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample808.0ms

Algorithm
intervals
Results
358.0ms10628×body80valid