Details

Time bar (total: 10.4s)

sample21.0ms

Algorithm
intervals
Results
8.0ms346×body80valid

simplify58.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
29.0ms
(* (* x y) (- 1.0 y))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* (* x y) (- 1.0 y))

simplify2.0s

Counts
29 → 29

prune45.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x y) (* (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))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×pow1 add-exp-log
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
12×add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
8×pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt
4×frac-times add-log-exp
3×pow1/3 distribute-lft-out-- difference-of-squares
2×associate-*l/
1×associate-*r* associate-*l* *-commutative
Counts
4 → 75
Calls
4 calls:
66.0ms
(* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
5.0ms
(cbrt (- 1.0 y))

series674.0ms

Counts
4 → 12
Calls
4 calls:
323.0ms
(* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
128.0ms
(cbrt (- 1.0 y))
125.0ms
(cbrt (- 1.0 y))
98.0ms
(cbrt (- 1.0 y))

simplify581.0ms

Counts
87 → 87

prune326.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite366.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×associate-*r/
20×cbrt-prod
18×pow1 add-exp-log
17×add-sqr-sqrt *-un-lft-identity
14×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt add-cbrt-cube
8×associate-*r*
4×distribute-lft-out-- add-log-exp difference-of-squares
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 100
Calls
4 calls:
348.0ms
(* (* (* (* x y) (cbrt (- 1.0 y))) (cbrt (- 1.0 y))) (cbrt (- 1.0 y)))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))

series439.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (* (* (* x y) (cbrt (- 1.0 y))) (cbrt (- 1.0 y))) (cbrt (- 1.0 y)))
142.0ms
(cbrt (- 1.0 y))
131.0ms
(cbrt (- 1.0 y))
96.0ms
(cbrt (- 1.0 y))

simplify948.0ms

Counts
112 → 112

prune452.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))))
9.9b
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
9.9b
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
9.9b
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

rewrite324.0ms

Algorithm
rewrite-expression-head
Rules
420×cbrt-div
218×associate-*r/
148×frac-times
126×flip3-- flip--
50×associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 162
Calls
4 calls:
123.0ms
(* (cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))))
53.0ms
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
63.0ms
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
63.0ms
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
340.0ms
(* (cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))))
277.0ms
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
264.0ms
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
236.0ms
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

simplify1.0s

Counts
174 → 174

prune798.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify62.0ms

end0.0ms

sample869.0ms

Algorithm
intervals
Results
410.0ms10731×body80valid