Details

Time bar (total: 12.9s)

sample26.0ms

Algorithm
intervals
Results
13.0ms408×body80valid

simplify787.0ms

Counts
1 → 1
Iterations

Useful iterations: 7 (263.0ms)

IterNodesCost
01115
12314
25814
310614
419114
534214
672614
7191813
done500113

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
41×*-un-lft-identity
31×times-frac
25×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
4×associate-*l*
3×expm1-log1p-u fma-neg prod-diff associate-/r* log1p-expm1-u
2×cbrt-undiv frac-times flip3-- flip3-+ div-exp associate-*l/ prod-exp flip-- cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out
Counts
3 → 105
Calls
3 calls:
2.0ms
(- y (* (+ x z) (/ (- z x) y)))
9.0ms
(/ (- z x) y)
23.0ms
(* (+ x z) (/ (- z x) y))

series139.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- y (* (+ x z) (/ (- z x) y)))
30.0ms
(/ (- z x) y)
60.0ms
(* (+ x z) (/ (- z x) y))

simplify786.0ms

Counts
114 → 114
Iterations

Useful iterations: 2 (151.0ms)

IterNodesCost
01661463
14361377
220231279
done50011279

prune281.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
23.0ms
(* (cbrt (- z x)) (cbrt (- z x)))
2.0ms
(cbrt (- z x))
2.0ms
(cbrt (- z x))
3.0ms
(cbrt (- z x))

series625.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(* (cbrt (- z x)) (cbrt (- z x)))
166.0ms
(cbrt (- z x))
161.0ms
(cbrt (- z x))
155.0ms
(cbrt (- z x))

simplify2.7s

Counts
121 → 121
Iterations

Useful iterations: 3 (566.0ms)

IterNodesCost
01351434
12741332
29331262
338091158
done50011158

prune398.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x z)) (cbrt (+ x z)))
0.5b
(cbrt (+ x z))
0.5b
(cbrt (+ x z))
0.5b
(cbrt (+ x z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
24.0ms
(* (cbrt (+ x z)) (cbrt (+ x z)))
2.0ms
(cbrt (+ x z))
2.0ms
(cbrt (+ x z))
2.0ms
(cbrt (+ x z))

series634.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(* (cbrt (+ x z)) (cbrt (+ x z)))
142.0ms
(cbrt (+ x z))
150.0ms
(cbrt (+ x z))
149.0ms
(cbrt (+ x z))

simplify2.3s

Counts
115 → 115
Iterations

Useful iterations: 3 (552.0ms)

IterNodesCost
01201316
12611198
29081128
336201051
done50001051

prune396.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite10.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series815.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (cbrt y) (cbrt y))
193.0ms
(cbrt y)
194.0ms
(cbrt y)
200.0ms
(cbrt y)

simplify1.7s

Counts
93 → 93
Iterations

Useful iterations: 3 (319.0ms)

IterNodesCost
065554
1122495
2449423
31993405
done5001405

prune267.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample763.0ms

Algorithm
intervals
Results
461.0ms13727×body80valid