Details

Time bar (total: 11.1s)

sample22.0ms

Algorithm
intervals
Results
10.0ms331×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2177
3317
4427
5497
6587
7767
8967
91187
101347
111487
121567
131707
141857
152007
162627
172997
183827
194107
204577
214617
done4617

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
associate-*l*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
associate-*r*
associate-*l/
+-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 → 33
Calls
2 calls:
38.0ms
(* (- y x) z)
14.0ms
(+ x (* (- y x) z))

series74.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- y x) z)
39.0ms
(+ x (* (- y x) z))

simplify2.0s

Counts
39 → 39
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
068357
1164337
2504303
31870303
done5000303

prune89.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
flip3-- pow1/3 flip-- distribute-lft-out--
associate-*r* associate-*l*
difference-of-squares
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
55.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
7.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))

series904.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
257.0ms
(cbrt (- y x))
219.0ms
(cbrt (- y x))
224.0ms
(cbrt (- y x))

simplify2.8s

Counts
113 → 113
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01311384
12621281
26171223
313401128
435251080
done50001032

prune425.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt y) (sqrt x))
0.0b
(- (sqrt y) (sqrt x))
0.0b
(* (- (sqrt y) (sqrt x)) z)
0.1b
(* (+ (sqrt y) (sqrt x)) (* (- (sqrt y) (sqrt x)) z))

rewrite331.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
16×sqrt-prod
14×associate-*l*
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
add-log-exp difference-of-squares
add-cube-cbrt
flip3-- flip--
frac-times flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+ distribute-lft-out distribute-lft-out--
associate-*r/ *-commutative
+-commutative sub-neg diff-log sum-log unswap-sqr
Counts
4 → 85
Calls
4 calls:
24.0ms
(+ (sqrt y) (sqrt x))
22.0ms
(- (sqrt y) (sqrt x))
80.0ms
(* (- (sqrt y) (sqrt x)) z)
183.0ms
(* (+ (sqrt y) (sqrt x)) (* (- (sqrt y) (sqrt x)) z))

series523.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ (sqrt y) (sqrt x))
98.0ms
(- (sqrt y) (sqrt x))
105.0ms
(* (- (sqrt y) (sqrt x)) z)
253.0ms
(* (+ (sqrt y) (sqrt x)) (* (- (sqrt y) (sqrt x)) z))

simplify1.0s

Counts
97 → 97
Iterations

Useful iterations: 2 (345.0ms)

IterNodesCost
01271343
13381043
21343888
done5000888

prune302.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes103.0ms

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
187
done87

end0.0ms

sample838.0ms

Algorithm
intervals
Results
443.0ms10074×body80valid