Details

Time bar (total: 14.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms329×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
112123
219123
328123
439123
596123
6221123
7621123
82177123
done5001123

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-sqr-sqrt
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 div-sub associate-/l/
1×cbrt-undiv +-commutative clear-num associate-+r- sum-log frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip-- distribute-lft-out
Counts
2 → 51
Calls
2 calls:
21.0ms
(/ (- y x) z)
32.0ms
(+ x (/ (- y x) z))

series103.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- y x) z)
61.0ms
(+ x (/ (- y x) z))

simplify1.2s

Counts
57 → 57
Iterations

Useful iterations: 2 (199.0ms)

IterNodesCost
09412032
123011027
291310947
done500010947

prune320.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ 1 z)))
0.3b
(* (- y x) (/ 1 z))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×times-frac add-exp-log
10×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp add-log-exp
3×unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ cbrt-unprod flip--
1×cbrt-undiv +-commutative rec-exp sum-log flip3-+ 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
10.0ms
(+ x (* (- y x) (/ 1 z)))
46.0ms
(* (- y x) (/ 1 z))

series93.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ x (* (- y x) (/ 1 z)))
48.0ms
(* (- y x) (/ 1 z))

simplify3.5s

Counts
59 → 59
Iterations

Useful iterations: done (3.5s)

IterNodesCost
011713988
131011618
221019695
done50019455

prune265.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
19.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.0s

Counts
4 → 12
Calls
4 calls:
252.0ms
(* (cbrt z) (cbrt z))
249.0ms
(cbrt z)
299.0ms
(cbrt z)
243.0ms
(cbrt z)

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: done (1.3s)

IterNodesCost
06117134
113814621
272714346
done500013666

prune455.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))
0.6b
(cbrt (+ x (/ (- y x) z)))
0.6b
(cbrt (+ x (/ (- y x) z)))
0.6b
(cbrt (+ x (/ (- y x) z)))

rewrite244.0ms

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×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 → 95
Calls
4 calls:
182.0ms
(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))
18.0ms
(cbrt (+ x (/ (- y x) z)))
15.0ms
(cbrt (+ x (/ (- y x) z)))
24.0ms
(cbrt (+ x (/ (- y x) z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
359.0ms
(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))
238.0ms
(cbrt (+ x (/ (- y x) z)))
207.0ms
(cbrt (+ x (/ (- y x) z)))
216.0ms
(cbrt (+ x (/ (- y x) z)))

simplify1.3s

Counts
107 → 107
Iterations

Useful iterations: done (1.2s)

IterNodesCost
012645605
130938832
2115638390
done500037380

prune478.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes246.0ms

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
06123
17123
done7123

end0.0ms

sample1.0s

Algorithm
intervals
Results
363.0ms10159×body80valid