Details

Time bar (total: 10.4s)

sample28.0ms

Algorithm
intervals
Results
11.0ms386×body80valid

simplify36.0ms

Counts
1 → 1
Iterations
IterNodes
done70
570
469
357
232
114
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* y z) 4.0)
0.0b
(- (* x x) (* (* y z) 4.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
1×sub-neg flip3-- diff-log associate-*l* *-commutative flip--
Counts
2 → 30
Calls
2 calls:
28.0ms
(* (* y z) 4.0)
13.0ms
(- (* x x) (* (* y z) 4.0))

series127.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (* y z) 4.0)
90.0ms
(- (* x x) (* (* y z) 4.0))

simplify661.0ms

Counts
36 → 36
Iterations
IterNodes
done5000
21121
1186
066

prune180.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (* 4.0 z))) (cbrt (* y (* 4.0 z))))
9.0b
(cbrt (* y (* 4.0 z)))
9.0b
(cbrt (* y (* 4.0 z)))
9.0b
(cbrt (* y (* 4.0 z)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
35.0ms
(* (cbrt (* y (* 4.0 z))) (cbrt (* y (* 4.0 z))))
16.0ms
(cbrt (* y (* 4.0 z)))
16.0ms
(cbrt (* y (* 4.0 z)))
17.0ms
(cbrt (* y (* 4.0 z)))

series701.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (cbrt (* y (* 4.0 z))) (cbrt (* y (* 4.0 z))))
141.0ms
(cbrt (* y (* 4.0 z)))
203.0ms
(cbrt (* y (* 4.0 z)))
170.0ms
(cbrt (* y (* 4.0 z)))

simplify703.0ms

Counts
70 → 70
Iterations
IterNodes
done5001
2785
1224
087

prune440.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (pow x 2) (* y (* 4.0 z)))) (cbrt (- (pow x 2) (* y (* 4.0 z)))))
2.7b
(cbrt (- (pow x 2) (* y (* 4.0 z))))
2.7b
(cbrt (- (pow x 2) (* y (* 4.0 z))))
2.7b
(cbrt (- (pow x 2) (* y (* 4.0 z))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-- pow1/3 flip--
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
92.0ms
(* (cbrt (- (pow x 2) (* y (* 4.0 z)))) (cbrt (- (pow x 2) (* y (* 4.0 z)))))
6.0ms
(cbrt (- (pow x 2) (* y (* 4.0 z))))
6.0ms
(cbrt (- (pow x 2) (* y (* 4.0 z))))
6.0ms
(cbrt (- (pow x 2) (* y (* 4.0 z))))

series708.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(* (cbrt (- (pow x 2) (* y (* 4.0 z)))) (cbrt (- (pow x 2) (* y (* 4.0 z)))))
181.0ms
(cbrt (- (pow x 2) (* y (* 4.0 z))))
159.0ms
(cbrt (- (pow x 2) (* y (* 4.0 z))))
160.0ms
(cbrt (- (pow x 2) (* y (* 4.0 z))))

simplify961.0ms

Counts
99 → 99
Iterations
IterNodes
done5001
21089
1278
0119

prune755.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* z y))
0.3b
(* (* 4.0 (* z y)) (* 4.0 (* z y)))
0.9b
(- (pow x 4) (* (* 4.0 (* z y)) (* 4.0 (* z y))))
27.6b
(/ (- (pow x 4) (* (* 4.0 (* z y)) (* 4.0 (* z y)))) (+ (pow x 2) (* y (* 4.0 z))))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
123×pow1
69×pow-prod-down
47×add-cbrt-cube add-exp-log
30×prod-exp cbrt-unprod
26×add-sqr-sqrt
18×times-frac
16×*-un-lft-identity add-cube-cbrt
15×difference-of-squares
9×pow-sqr pow-prod-up
6×associate-/l* add-log-exp
5×unpow-prod-down sqr-pow
4×associate-*l*
3×associate-/r* pow-plus
2×flip3-- associate-*r* associate-/r/ *-commutative flip-- associate-/l/
1×pow2 cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-sub swap-sqr div-exp flip-+ div-inv
Counts
4 → 137
Calls
4 calls:
24.0ms
(* 4.0 (* z y))
97.0ms
(* (* 4.0 (* z y)) (* 4.0 (* z y)))
21.0ms
(- (pow x 4) (* (* 4.0 (* z y)) (* 4.0 (* z y))))
47.0ms
(/ (- (pow x 4) (* (* 4.0 (* z y)) (* 4.0 (* z y)))) (+ (pow x 2) (* y (* 4.0 z))))

series401.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 4.0 (* z y))
59.0ms
(* (* 4.0 (* z y)) (* 4.0 (* z y)))
125.0ms
(- (pow x 4) (* (* 4.0 (* z y)) (* 4.0 (* z y))))
177.0ms
(/ (- (pow x 4) (* (* 4.0 (* z y)) (* 4.0 (* z y)))) (+ (pow x 2) (* y (* 4.0 z))))

simplify2.0s

Counts
149 → 149
Iterations
IterNodes
done5001
23469
1530
0188

prune727.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample1.2s

Algorithm
intervals
Results
610.0ms12112×body80valid