Details

Time bar (total: 13.8s)

sample21.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify645.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11711
23511
35911
49411
512011
614611
716511
818711
923211
1032411
1148111
1250911
1352811
1453011
done53011

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
10.7b
(/ (* (- y z) t) (- a z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* add-log-exp
4×associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
11.0ms
(+ x (/ (* (- y z) t) (- a z)))
11.0ms
(* (- y z) t)
10.0ms
(/ (* (- y z) t) (- a z))

series168.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ x (/ (* (- y z) t) (- a z)))
28.0ms
(* (- y z) t)
64.0ms
(/ (* (- y z) t) (- a z))

simplify577.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
0124812
1326763
21203685
done5001685

prune188.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
0.6b
(* (cbrt (- a z)) (cbrt (- a z)))
3.6b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
57×*-un-lft-identity
55×cbrt-prod
38×associate-*r*
36×times-frac
31×add-cube-cbrt
30×cbrt-div
27×add-exp-log
25×associate-*l*
18×add-cbrt-cube
15×flip3-- flip--
13×pow1
12×distribute-lft-out--
10×swap-sqr associate-/r/ difference-of-squares unswap-sqr
9×frac-times prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
5×associate-*r/ associate-*l/
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 163
Calls
4 calls:
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
22.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
69.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series512.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (- a z))
143.0ms
(cbrt (- a z))
124.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
97.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify840.0ms

Counts
175 → 175
Iterations

Useful iterations: done (835.0ms)

IterNodesCost
02633146
17052971
227912569
done50002549

prune581.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
3.1b
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
20×cbrt-prod
18×add-sqr-sqrt *-un-lft-identity
14×associate-*l*
10×add-cube-cbrt
9×pow1
8×cbrt-div times-frac
5×frac-times associate-*r/
4×flip3-- flip-- distribute-lft-out-- add-log-exp difference-of-squares
3×pow1/3 pow-prod-down associate-*l/
2×associate-/r/
1×associate-*r* *-commutative div-inv
Counts
4 → 107
Calls
4 calls:
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
88.0ms
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

series565.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(cbrt (- y z))
151.0ms
(cbrt (- y z))
156.0ms
(cbrt (- y z))
101.0ms
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

simplify718.0ms

Counts
119 → 119
Iterations

Useful iterations: done (714.0ms)

IterNodesCost
01983079
15702987
219652096
done50001688

prune395.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- y z))
0.8b
(pow (cbrt (- y z)) 3)
3.6b
(* (/ (/ (pow (cbrt (- y z)) 3) (cbrt (- a z))) (cbrt (- a z))) (/ t (cbrt (- a z))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
3092×times-frac
2591×cbrt-prod
2411×add-sqr-sqrt
2057×*-un-lft-identity
1462×associate-*l*
1071×add-cube-cbrt
544×unpow-prod-down cube-prod
493×distribute-lft-out-- difference-of-squares
81×unswap-sqr
77×sqr-pow
65×cube-mult unpow3
42×add-exp-log
30×associate-*r*
26×cbrt-div
20×associate-/r/
19×div-exp
16×add-cbrt-cube
13×flip3-- flip--
10×prod-exp div-inv
9×cbrt-undiv
7×pow1
6×cbrt-unprod
4×add-log-exp
3×pow-to-exp pow-unpow pow1/3 pow-exp
2×cube-div pow-pow
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative rem-cube-cbrt
Counts
4 → 1667
Calls
4 calls:
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- y z))
6.0ms
(pow (cbrt (- y z)) 3)
922.0ms
(* (/ (/ (pow (cbrt (- y z)) 3) (cbrt (- a z))) (cbrt (- a z))) (/ t (cbrt (- a z))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- a z))
158.0ms
(cbrt (- y z))
130.0ms
(pow (cbrt (- y z)) 3)
103.0ms
(* (/ (/ (pow (cbrt (- y z)) 3) (cbrt (- a z))) (cbrt (- a z))) (/ t (cbrt (- a z))))

simplify1.3s

Counts
1679 → 1679
Iterations

Useful iterations: 1 (512.0ms)

IterNodesCost
092243743
1302839476
done500139476

prune4.5s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01633
11933
done1933

end0.0ms

sample527.0ms

Algorithm
intervals
Results
269.0ms8712×body80valid