Details

Time bar (total: 16.0s)

sample47.0ms

Algorithm
intervals
Results
19.0ms275×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010205
117205
235205
360205
496205
5148205
6259205
7428205
8811205
91914205
done5000205

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) t)
9.9b
(/ (* (- y z) t) (- a z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac associate-*l*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
17.0ms
(* (- y z) t)
19.0ms
(/ (* (- y z) t) (- a z))

series105.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) t)
74.0ms
(/ (* (- y z) t) (- a z))

simplify1.7s

Counts
57 → 57
Iterations

Useful iterations: 2 (277.0ms)

IterNodesCost
010111091
12649964
214489644
done50029644

prune295.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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)))
4.7b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite243.0ms

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-*l/ associate-*r/
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:
6.0ms
(cbrt (- a z))
6.0ms
(cbrt (- a z))
60.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
159.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series707.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(cbrt (- a z))
213.0ms
(cbrt (- a z))
161.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
173.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify2.7s

Counts
175 → 175
Iterations

Useful iterations: done (2.6s)

IterNodesCost
026367517
174060117
2411659695
done500055735

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 1 expressions with local error:

10.1b
(/ (- y z) (/ (- a z) t))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
185×times-frac
151×add-sqr-sqrt *-un-lft-identity
75×add-cube-cbrt
38×distribute-lft-out-- difference-of-squares
19×associate-/r*
7×div-inv
6×add-cbrt-cube add-exp-log
5×associate-/l*
3×cbrt-undiv div-exp
2×associate-/l/
1×pow1 clear-num frac-2neg flip3-- div-sub associate-/r/ flip-- add-log-exp
Counts
1 → 137
Calls
1 calls:
41.0ms
(/ (- y z) (/ (- a z) t))

series153.0ms

Counts
1 → 3
Calls
1 calls:
153.0ms
(/ (- y z) (/ (- a z) t))

simplify1.6s

Counts
140 → 140
Iterations

Useful iterations: 2 (765.0ms)

IterNodesCost
022860566
172857444
2340855811
done500055811

prune695.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.2b
(* (/ (- y z) (- a z)) t)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 102
Calls
2 calls:
29.0ms
(/ (- y z) (- a z))
64.0ms
(* (/ (- y z) (- a z)) t)

series183.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (- y z) (- a z))
117.0ms
(* (/ (- y z) (- a z)) t)

simplify1.1s

Counts
108 → 108
Iterations

Useful iterations: done (1.1s)

IterNodesCost
014326984
137225794
2145625513
done500025433

prune421.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes570.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
016525
119525
done19525

end0.0ms

sample928.0ms

Algorithm
intervals
Results
488.0ms8711×body80valid
0.0ms1×body1280valid