Details

Time bar (total: 7.8s)

sample16.0ms

Algorithm
intervals
Results
6.0ms265×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1107
2177
3217
done217

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×fma-neg prod-diff associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
3.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series63.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(- y (* z t))
34.0ms
(/ x (- y (* z t)))

simplify929.0ms

Counts
57 → 57
Iterations

Useful iterations: done (927.0ms)

IterNodesCost
087595
1187580
2541529
31782525
done5000509

prune155.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b
(cbrt y)
0.8b
(pow (cbrt y) 3)
2.2b
(/ x (+ (fma (- z) t (pow (cbrt y) 3)) 0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
18×add-sqr-sqrt add-cube-cbrt
12×times-frac
9×cbrt-prod
6×add-exp-log unpow-prod-down cube-prod
5×add-cbrt-cube
4×pow1 associate-/r* distribute-lft-out
3×expm1-log1p-u pow-unpow log1p-expm1-u associate-/l* add-log-exp
2×pow-pow pow1/3 associate-/r/
1×cbrt-undiv cube-mult pow-to-exp frac-2neg flip3-+ unpow3 div-exp pow-exp clear-num flip-+ div-inv rem-cube-cbrt sqr-pow
Counts
3 → 80
Calls
3 calls:
1.0ms
(cbrt y)
2.0ms
(pow (cbrt y) 3)
6.0ms
(/ x (+ (fma (- z) t (pow (cbrt y) 3)) 0))

series560.0ms

Counts
3 → 9
Calls
3 calls:
197.0ms
(cbrt y)
243.0ms
(pow (cbrt y) 3)
120.0ms
(/ x (+ (fma (- z) t (pow (cbrt y) 3)) 0))

simplify1.2s

Counts
89 → 89
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
01221004
1272608
21161566
done5000566

prune232.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(/ (* (cbrt x) (cbrt x)) (/ (fma (- z) t y) (cbrt x)))
1.4b
(/ (fma (- z) t y) (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 expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
2×frac-2neg pow1/3 prod-exp clear-num cbrt-unprod
1×associate-/r/
Counts
4 → 133
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
13.0ms
(/ (* (cbrt x) (cbrt x)) (/ (fma (- z) t y) (cbrt x)))
3.0ms
(/ (fma (- z) t y) (cbrt x))

series695.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(cbrt x)
199.0ms
(cbrt x)
75.0ms
(/ (* (cbrt x) (cbrt x)) (/ (fma (- z) t y) (cbrt x)))
202.0ms
(/ (fma (- z) t y) (cbrt x))

simplify840.0ms

Counts
145 → 145
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
01822197
14202109
219621785
done50001785

prune491.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.1b

localize13.0ms

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)))

rewrite28.0ms

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×expm1-log1p-u frac-times div-exp log1p-expm1-u 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 → 90
Calls
4 calls:
15.0ms
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series676.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
153.0ms
(cbrt (- y (* z t)))
152.0ms
(cbrt (- y (* z t)))
148.0ms
(cbrt (- y (* z t)))

simplify687.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (173.0ms)

IterNodesCost
01611503
13921372
213991243
done50001243

prune360.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 2.1b

regimes259.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample437.0ms

Algorithm
intervals
Results
206.0ms8365×body80valid