Details

Time bar (total: 6.8s)

sample18.0ms

Algorithm
intervals
Results
8.0ms333×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1157
2207
3277
4317
5377
6437
done437

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
10.0ms
(* y (+ z x))
3.0ms
(+ x (* y (+ z x)))

series53.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* y (+ z x))
29.0ms
(+ x (* y (+ z x)))

simplify859.0ms

Counts
42 → 42
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
067376
1185348
2517318
31727318
done5000318

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (+ z x))
0.0b
(+ x (cbrt (pow (* y (+ z x)) 3)))
0.3b
(pow (* y (+ z x)) 3)
32.0b
(cbrt (pow (* y (+ z x)) 3))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt
6×associate-*r/ add-log-exp
4×cube-div flip3-+ associate-*r* flip-+
3×pow-unpow associate-*l*
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod distribute-lft-out rem-cube-cbrt sqr-pow
1×+-commutative distribute-rgt-in pow-to-exp distribute-lft-in pow1/3 sum-log *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 78
Calls
4 calls:
10.0ms
(* y (+ z x))
8.0ms
(+ x (cbrt (pow (* y (+ z x)) 3)))
5.0ms
(pow (* y (+ z x)) 3)
2.0ms
(cbrt (pow (* y (+ z x)) 3))

series126.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* y (+ z x))
31.0ms
(+ x (cbrt (pow (* y (+ z x)) 3)))
45.0ms
(pow (* y (+ z x)) 3)
26.0ms
(cbrt (pow (* y (+ z x)) 3))

simplify477.0ms

Counts
90 → 90
Iterations

Useful iterations: done (474.0ms)

IterNodesCost
01241012
1318798
21124744
done5001724

prune212.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (sqrt (* (+ z x) y)) (sqrt (* (+ z x) y))))
0.2b
(* (sqrt (* (+ z x) y)) (sqrt (* (+ z x) y)))
3.2b
(sqrt (* (+ z x) y))
3.2b
(sqrt (* (+ z x) y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*l/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
9×flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log sqrt-prod pow-sqr add-cbrt-cube add-log-exp
4×frac-times swap-sqr associate-*r* associate-*l*
2×associate-*r/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod unswap-sqr
Counts
4 → 94
Calls
4 calls:
2.0ms
(+ x (* (sqrt (* (+ z x) y)) (sqrt (* (+ z x) y))))
29.0ms
(* (sqrt (* (+ z x) y)) (sqrt (* (+ z x) y)))
4.0ms
(sqrt (* (+ z x) y))
4.0ms
(sqrt (* (+ z x) y))

series238.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ x (* (sqrt (* (+ z x) y)) (sqrt (* (+ z x) y))))
22.0ms
(* (sqrt (* (+ z x) y)) (sqrt (* (+ z x) y)))
93.0ms
(sqrt (* (+ z x) y))
95.0ms
(sqrt (* (+ z x) y))

simplify2.5s

Counts
106 → 106
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01191486
1264972
2891908
34204882
done5000876

prune192.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (sqrt (sqrt (* (+ z x) y))) 3) (sqrt (sqrt (* (+ z x) y))))
0.3b
(pow (sqrt (sqrt (* (+ z x) y))) 3)
3.2b
(sqrt (* (+ z x) y))
3.2b
(sqrt (* (+ z x) y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×sqrt-prod
32×sqrt-div
20×associate-*l* associate-*l/
18×unpow-prod-down cube-prod
16×pow1 add-cube-cbrt *-un-lft-identity
12×unswap-sqr
10×add-exp-log sqrt-pow1
9×flip3-+ flip-+
8×cube-div
7×associate-*r* add-cbrt-cube
6×pow-pow
4×frac-times pow1/2 add-log-exp sqr-pow
3×pow-unpow pow-prod-down prod-exp
2×cube-mult pow-to-exp unpow3 associate-*r/ pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 126
Calls
4 calls:
30.0ms
(* (pow (sqrt (sqrt (* (+ z x) y))) 3) (sqrt (sqrt (* (+ z x) y))))
7.0ms
(pow (sqrt (sqrt (* (+ z x) y))) 3)
4.0ms
(sqrt (* (+ z x) y))
6.0ms
(sqrt (* (+ z x) y))

series353.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (pow (sqrt (sqrt (* (+ z x) y))) 3) (sqrt (sqrt (* (+ z x) y))))
134.0ms
(pow (sqrt (sqrt (* (+ z x) y))) 3)
97.0ms
(sqrt (* (+ z x) y))
99.0ms
(sqrt (* (+ z x) y))

simplify625.0ms

Counts
138 → 138
Iterations

Useful iterations: done (621.0ms)

IterNodesCost
01922477
14941879
215941623
done50001621

prune343.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample402.0ms

Algorithm
intervals
Results
201.0ms10093×body80valid