Details

Time bar (total: 7.5s)

sample28.0ms

Algorithm
intervals
Results
13.0ms340×body80valid

simplify98.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ add-cube-cbrt
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
40.0ms
(* (* x y) (- 1.0 y))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* (* x y) (- 1.0 y))

simplify834.0ms

Counts
29 → 29
Iterations
IterNodes
done5000
21142
1175
060

prune142.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
2.9b
(* x (* y (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div associate-*r/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×pow1 add-exp-log
11×add-cbrt-cube
9×flip3-- flip--
8×add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod
4×frac-times add-log-exp
3×pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
2×associate-*l/
1×associate-*r* *-commutative
Counts
4 → 74
Calls
4 calls:
7.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
150.0ms
(* x (* y (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

series697.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (- 1.0 y))
128.0ms
(cbrt (- 1.0 y))
127.0ms
(cbrt (- 1.0 y))
335.0ms
(* x (* y (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

simplify856.0ms

Counts
86 → 86
Iterations
IterNodes
done5000
21650
1427
0169

prune465.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
5.0b
(* x (* y (- 1.0 y)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
7×*-un-lft-identity
6×sub-neg associate-*r* associate-*l* associate-*r/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
31.0ms
(* y (- 1.0 y))
45.0ms
(* x (* y (- 1.0 y)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* y (- 1.0 y))
79.0ms
(* x (* y (- 1.0 y)))

simplify498.0ms

Counts
60 → 60
Iterations
IterNodes
done5000
2951
1220
084

prune227.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube associate-*r* add-exp-log
14×sqrt-div
10×add-sqr-sqrt *-un-lft-identity associate-*r/ sqrt-prod
9×pow-prod-down prod-exp cbrt-unprod
7×flip3-- flip--
6×add-cube-cbrt
4×frac-times
2×associate-*l* associate-*l/ *-commutative distribute-lft-out-- add-log-exp difference-of-squares
Counts
2 → 59
Calls
2 calls:
110.0ms
(* (* (* y x) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
33.0ms
(* (* y x) (sqrt (- 1.0 y)))

series239.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (* (* y x) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
165.0ms
(* (* y x) (sqrt (- 1.0 y)))

simplify1.4s

Counts
65 → 65
Iterations
IterNodes
done5002
22296
1357
0126

prune321.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes183.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample735.0ms

Algorithm
intervals
Results
383.0ms10628×body80valid