Details

Time bar (total: 9.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms265×body80valid

simplify7.0ms

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)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
fma-neg prod-diff associate-/r* associate-/l*
pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
2.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- y (* z t))
40.0ms
(/ x (- y (* z t)))

simplify1.8s

Counts
57 → 57
Iterations

Useful iterations: 4 (822.0ms)

IterNodesCost
087595
1180580
2430529
31043525
42620506
done5001506

prune152.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.1b

localize8.0ms

Local error

Found 1 expressions with local error:

2.2b
(/ (- x) (fma t z (- y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
neg-mul-1
add-exp-log associate-/r* add-cbrt-cube
pow1 cbrt-undiv neg-sub0 expm1-log1p-u frac-2neg div-sub distribute-frac-neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 59
Calls
1 calls:
5.0ms
(/ (- x) (fma t z (- y)))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ (- x) (fma t z (- y)))

simplify1.3s

Counts
62 → 62
Iterations

Useful iterations: 4 (531.0ms)

IterNodesCost
0102892
1182856
2417826
31028826
42388825
done5000825

prune177.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.2b
(/ x (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* z t))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-prod times-frac
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3 associate-/r* associate-/l*
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 68
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
3.0ms
(/ x (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* z t))))

series743.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt y)
198.0ms
(cbrt y)
193.0ms
(cbrt y)
160.0ms
(/ x (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* z t))))

simplify1.2s

Counts
80 → 80
Iterations

Useful iterations: 4 (382.0ms)

IterNodesCost
081884
1134863
2269633
3650507
42173506
done5001506

prune259.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.1b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-cbrt-cube
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
times-frac pow1/3 associate-/l*
cbrt-undiv div-exp
frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 62
Calls
4 calls:
5.0ms
(/ -1 (* (cbrt (fma t z (- y))) (cbrt (fma t z (- y)))))
1.0ms
(cbrt (fma t z (- y)))
1.0ms
(cbrt (fma t z (- y)))
1.0ms
(cbrt (fma t z (- y)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(/ -1 (* (cbrt (fma t z (- y))) (cbrt (fma t z (- y)))))
133.0ms
(cbrt (fma t z (- y)))
134.0ms
(cbrt (fma t z (- y)))
141.0ms
(cbrt (fma t z (- y)))

simplify2.3s

Counts
74 → 74
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
01111033
1268989
2625889
31654844
44873810
done5000810

prune263.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.1b

regimes157.0ms

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
088
1108
done108

end0.0ms

sample409.0ms

Algorithm
intervals
Results
204.0ms8365×body80valid