Details

Time bar (total: 16.2s)

sample35.0ms

Algorithm
intervals
Results
17.0ms363×body80valid

simplify91.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1157
2347
3717
4977
51037
done1037

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z y))
6.1b
(* (- (* x y) (* z y)) t)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×flip3-- distribute-rgt-out-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
16.0ms
(- (* x y) (* z y))
37.0ms
(* (- (* x y) (* z y)) t)

series100.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* x y) (* z y))
55.0ms
(* (- (* x y) (* z y)) t)

simplify1.9s

Counts
40 → 40
Iterations

Useful iterations: 3 (734.0ms)

IterNodesCost
060467
1157365
2581327
32722325
done5002325

prune115.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (- y) z))
6.1b
(* (+ (* x y) (* (- y) z)) t)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-lft-neg-out flip3-+ associate-*l/ flip-+
1×+-commutative unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
8.0ms
(+ (* x y) (* (- y) z))
32.0ms
(* (+ (* x y) (* (- y) z)) t)

series91.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* x y) (* (- y) z))
50.0ms
(* (+ (* x y) (* (- y) z)) t)

simplify3.2s

Counts
39 → 39
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
060495
1172364
2726323
33344311
done5001311

prune159.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
8.9b
(cbrt (- (* x y) (* z y)))
8.9b
(cbrt (- (* x y) (* z y)))
8.9b
(cbrt (* y (- x z)))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
46×associate-*r/
30×flip3-- flip--
28×frac-times
16×pow1 add-exp-log
14×associate-*l/
10×add-cbrt-cube
9×cbrt-prod
8×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3
2×distribute-rgt-out--
1×associate-*r* associate-*l* *-commutative
Counts
4 → 87
Calls
4 calls:
169.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
12.0ms
(cbrt (- (* x y) (* z y)))
6.0ms
(cbrt (- (* x y) (* z y)))
7.0ms
(cbrt (* y (- x z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
546.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
196.0ms
(cbrt (- (* x y) (* z y)))
169.0ms
(cbrt (- (* x y) (* z y)))
241.0ms
(cbrt (* y (- x z)))

simplify3.3s

Counts
99 → 99
Iterations

Useful iterations: done (3.3s)

IterNodesCost
02093004
15522546
216072186
348712042
done50002032

prune596.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.0b
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (* (cbrt y) (cbrt (- x z)))))
8.9b
(cbrt (- (* x y) (* z y)))
8.9b
(cbrt (- (* x y) (* z y)))

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-div
44×associate-*r/
29×flip3-- flip--
28×frac-times
25×pow1 add-exp-log
15×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
14×associate-*l/
11×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3
2×distribute-rgt-out--
1×associate-*r* associate-*l* *-commutative
Counts
4 → 93
Calls
4 calls:
1.0ms
(cbrt y)
252.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (* (cbrt y) (cbrt (- x z)))))
12.0ms
(cbrt (- (* x y) (* z y)))
12.0ms
(cbrt (- (* x y) (* z y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt y)
527.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (* (cbrt y) (cbrt (- x z)))))
179.0ms
(cbrt (- (* x y) (* z y)))
174.0ms
(cbrt (- (* x y) (* z y)))

simplify1.3s

Counts
105 → 105
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02243212
16092707
220832468
done50002381

prune842.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes306.0ms

Accuracy

58.6% (3.0b remaining)

Error of 3.1b against oracle of 0.1b and baseline of 7.4b

bsearch99.0ms

Steps
ItersRangePoint
7
8.658023511829189e-30
2.6378800831126836e-28
1.0247033795508154e-28
8
-4.0100247977430225e-104
-1.4673813471923265e-106
-2.6726654310499567e-104

simplify13.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01835
12926
23326
33426
done3426

end0.0ms

sample1.0s

Algorithm
intervals
Results
535.0ms10626×body80valid