Details

Time bar (total: 7.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms265×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1107
2177
done177

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
2.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series62.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- y (* z t))
34.0ms
(/ x (- y (* z t)))

simplify1.4s

Counts
47 → 47
Iterations

Useful iterations: 4 (593.0ms)

IterNodesCost
074506
1156492
2379454
3924454
42359453
done5000453

prune106.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))
1.4b
(/ (- y (* z t)) (cbrt x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
47×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×cbrt-prod
28×associate-/r*
18×add-exp-log
11×add-cbrt-cube
7×cbrt-undiv div-exp
4×pow1 div-inv associate-/l* add-log-exp
2×frac-2neg pow1/3 prod-exp clear-num cbrt-unprod associate-/l/
1×flip3-- div-sub associate-/r/ flip--
Counts
4 → 128
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
11.0ms
(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))
7.0ms
(/ (- y (* z t)) (cbrt x))

series573.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
175.0ms
(cbrt x)
59.0ms
(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))
164.0ms
(/ (- y (* z t)) (cbrt x))

simplify792.0ms

Counts
140 → 140
Iterations

Useful iterations: 2 (301.0ms)

IterNodesCost
01862165
14672054
218361795
done50011795

prune376.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
7.0b
(cbrt (- y (* z t)))
7.0b
(cbrt (- y (* z t)))
7.0b
(cbrt (- y (* z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×add-exp-log
12×pow1
9×cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- pow-flip *-un-lft-identity pow1/3 flip--
8×associate-/r/
7×add-cbrt-cube
4×frac-times div-exp add-log-exp
3×times-frac prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/r* cbrt-unprod div-inv inv-pow
Counts
4 → 82
Calls
4 calls:
17.0ms
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
1.0ms
(cbrt (- y (* z t)))
1.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series522.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
116.0ms
(cbrt (- y (* z t)))
115.0ms
(cbrt (- y (* z t)))
116.0ms
(cbrt (- y (* z t)))

simplify782.0ms

Counts
94 → 94
Iterations

Useful iterations: done (779.0ms)

IterNodesCost
01571429
13751299
28371192
320251138
done50011132

prune271.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (pow (cbrt (- y (* z t))) -2) (/ x (cbrt (- y (* z t)))))
0.5b
(pow (cbrt (- y (* z t))) -2)
7.0b
(cbrt (- y (* z t)))
7.0b
(cbrt (- y (* z t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
28×cbrt-prod
26×times-frac
25×add-cube-cbrt *-un-lft-identity
24×associate-*r*
18×add-exp-log unpow-prod-down
12×unswap-sqr
10×associate-*l*
8×add-cbrt-cube
6×cbrt-div prod-exp
5×pow1 sqr-pow
4×add-log-exp
3×pow-to-exp pow-unpow flip3-- pow1/3 div-exp pow-exp flip--
2×pow-pow associate-/r/ cbrt-unprod
1×cbrt-undiv associate-*r/ *-commutative div-inv
Counts
4 → 110
Calls
4 calls:
31.0ms
(* (pow (cbrt (- y (* z t))) -2) (/ x (cbrt (- y (* z t)))))
4.0ms
(pow (cbrt (- y (* z t))) -2)
1.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series543.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (pow (cbrt (- y (* z t))) -2) (/ x (cbrt (- y (* z t)))))
173.0ms
(pow (cbrt (- y (* z t))) -2)
119.0ms
(cbrt (- y (* z t)))
117.0ms
(cbrt (- y (* z t)))

simplify872.0ms

Counts
122 → 122
Iterations

Useful iterations: done (868.0ms)

IterNodesCost
02162325
15612192
217422064
done50012023

prune360.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.1b

regimes235.0ms

Accuracy

0% (0.1b remaining)

Error of 3.0b against oracle of 2.9b and baseline of 3.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample421.0ms

Algorithm
intervals
Results
204.0ms8365×body80valid