Details

Time bar (total: 4.9s)

sample155.0ms

Algorithm
intervals
Results
12.0ms311×body80valid

simplify304.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* y (- z x)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*l*
2×associate-*r/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 41
Calls
2 calls:
42.0ms
(* y (- z x))
76.0ms
(+ x (* y (- z x)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* y (- z x))
72.0ms
(+ x (* y (- z x)))

simplify72.0ms

Counts
47 → 47

prune116.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y z) (* y (- x)))
0.0b
(+ x (+ (* y z) (* y (- x))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log distribute-rgt-neg-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ unsub-neg add-cbrt-cube flip-+ distribute-lft-out
1×associate-+r+
Counts
2 → 30
Calls
2 calls:
8.0ms
(+ (* y z) (* y (- x)))
40.0ms
(+ x (+ (* y z) (* y (- x))))

series77.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* y z) (* y (- x)))
35.0ms
(+ x (+ (* y z) (* y (- x))))

simplify113.0ms

Counts
36 → 36

prune105.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
2.0ms
(cbrt y)
3.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
316.0ms
(* (cbrt y) (cbrt y))
271.0ms
(cbrt y)
280.0ms
(cbrt y)
340.0ms
(cbrt y)

simplify43.0ms

Counts
85 → 85

prune315.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(sqrt (+ x (* y (- z x))))
0.0b
(sqrt (+ x (* y (- z x))))
0.3b
(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times associate-+r+ unswap-sqr
3×pow-prod-down pow-sqr
2×distribute-rgt-in sub-neg rem-sqrt-square distribute-lft-in associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
7.0ms
(+ x (* y (- z x)))
5.0ms
(sqrt (+ x (* y (- z x))))
5.0ms
(sqrt (+ x (* y (- z x))))
39.0ms
(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

series512.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(+ x (* y (- z x)))
160.0ms
(sqrt (+ x (* y (- z x))))
192.0ms
(sqrt (+ x (* y (- z x))))
48.0ms
(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

simplify107.0ms

Counts
114 → 114

prune209.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

5.3% (0.0b remaining)

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

bsearch0.0ms

simplify203.0ms

end0.0ms

sample826.0ms

Algorithm
intervals
Results
368.0ms10111×body80valid