Details

Time bar (total: 7.3s)

sample21.0ms

Algorithm
intervals
Results
8.0ms348×body80valid

simplify50.0ms

Counts
1 → 1
Iterations
IterNodes
done124
6124
5122
498
367
232
112
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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×flip3-- associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 22
Calls
1 calls:
24.0ms
(* (- 1.0 y) (* x y))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* (- 1.0 y) (* x y))

simplify2.5s

Counts
25 → 25
Iterations
IterNodes
done5000
34788
2624
1141
053

prune97.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x 1.0) (* y x))
0.1b
(* y (- (* x 1.0) (* y x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in flip3-- associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(- (* x 1.0) (* y x))
24.0ms
(* y (- (* x 1.0) (* y x)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (* x 1.0) (* y x))
43.0ms
(* y (- (* x 1.0) (* y x)))

simplify438.0ms

Counts
42 → 42
Iterations
IterNodes
done5001
2759
1176
064

prune199.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* y x) (- 1.0 y))) (cbrt (* (* y x) (- 1.0 y))))
7.8b
(cbrt (* (* y x) (- 1.0 y)))
7.8b
(cbrt (* (* y x) (- 1.0 y)))
7.8b
(cbrt (* (* y x) (- 1.0 y)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
29.0ms
(* (cbrt (* (* y x) (- 1.0 y))) (cbrt (* (* y x) (- 1.0 y))))
12.0ms
(cbrt (* (* y x) (- 1.0 y)))
16.0ms
(cbrt (* (* y x) (- 1.0 y)))
14.0ms
(cbrt (* (* y x) (- 1.0 y)))

series505.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (cbrt (* (* y x) (- 1.0 y))) (cbrt (* (* y x) (- 1.0 y))))
120.0ms
(cbrt (* (* y x) (- 1.0 y)))
106.0ms
(cbrt (* (* y x) (- 1.0 y)))
117.0ms
(cbrt (* (* y x) (- 1.0 y)))

simplify564.0ms

Counts
84 → 84
Iterations
IterNodes
done5000
21338
1393
0158

prune596.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* y 1.0) x) (* x (* (- y) y)))
10.7b
(* x (* (- y) y))

rewrite60.0ms

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
1×+-commutative sum-log flip3-+ associate-*r* unsub-neg *-commutative flip-+
Counts
2 → 32
Calls
2 calls:
28.0ms
(+ (* (* y 1.0) x) (* x (* (- y) y)))
31.0ms
(* x (* (- y) y))

series104.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (* (* y 1.0) x) (* x (* (- y) y)))
48.0ms
(* x (* (- y) y))

simplify638.0ms

Counts
38 → 38
Iterations
IterNodes
done5001
21102
1199
067

prune170.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes155.0ms

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

sample846.0ms

Algorithm
intervals
Results
445.0ms10691×body80valid