Details

Time bar (total: 3.8s)

sample20.0ms

Algorithm
intervals
Results
8.0ms334×body80valid

simplify185.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1173
2313
3463
4533
5623
6803
71183
82353
94673
108323
1112123
1217863
1334073
1450023
done50023

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)))

rewrite32.0ms

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:
20.0ms
(* y (- z x))
9.0ms
(+ x (* y (- z x)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* y (- z x))
39.0ms
(+ x (* y (- z x)))

simplify88.0ms

Counts
47 → 47
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0172180
1731165
23521165
35003165
done5003165

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series743.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(* (cbrt y) (cbrt y))
185.0ms
(cbrt y)
169.0ms
(cbrt y)
179.0ms
(cbrt y)

simplify84.0ms

Counts
85 → 85
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0115288
1472261
22959238
35003235
done5003235

prune186.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.7b
(cbrt (cbrt y))
0.7b
(cbrt (cbrt y))
0.7b
(cbrt (cbrt y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))
2.0ms
(cbrt (cbrt y))
3.0ms
(cbrt (cbrt y))

series882.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
235.0ms
(cbrt (cbrt y))
234.0ms
(cbrt (cbrt y))
236.0ms
(cbrt (cbrt y))

simplify46.0ms

Counts
65 → 65
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
071261
1141243
2357235
31377235
45001235
done5001235

prune216.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z x))
0.2b
(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
2.7b
(sqrt (* y (- z x)))
2.7b
(sqrt (* y (- z x)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-- associate-*r* flip--
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
20.0ms
(* y (- z x))
59.0ms
(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
7.0ms
(sqrt (* y (- z x)))
7.0ms
(sqrt (* y (- z x)))

series255.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* y (- z x))
101.0ms
(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
54.0ms
(sqrt (* y (- z x)))
60.0ms
(sqrt (* y (- z x)))

simplify45.0ms

Counts
121 → 121
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0253526
11151473
25002451
done5002451

prune198.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes70.0ms

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
083
183
done83

end0.0ms

sample457.0ms

Algorithm
intervals
Results
177.0ms10145×body80valid