Details

Time bar (total: 16.2s)

sample22.0ms

Algorithm
intervals
Results
8.0ms264×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
3217
done217

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.6b
(/ x (- y (* z t)))

rewrite28.0ms

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:
6.0ms
(- y (* z t))
20.0ms
(/ x (- y (* z t)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(- y (* z t))
57.0ms
(/ x (- y (* z t)))

simplify3.7s

Counts
57 → 57
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
087595
1181580
2425529
31042525
42487506
done5000506

prune213.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.5b

localize15.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ (fma (- t) z y) x))
2.6b
(/ (fma (- t) z y) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
12.0ms
(/ 1 (/ (fma (- t) z y) x))
11.0ms
(/ (fma (- t) z y) x)

series205.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(/ 1 (/ (fma (- t) z y) x))
103.0ms
(/ (fma (- t) z y) x)

simplify2.5s

Counts
113 → 113
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
01581772
13111558
25731379
312481359
426511353
done50001353

prune368.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(/ (cbrt x) (fma (- t) z y))
2.2b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (fma (- t) z y)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
22×associate-*r*
18×add-exp-log
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
2×pow1/3 div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 114
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
12.0ms
(/ (cbrt x) (fma (- t) z y))
61.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (fma (- t) z y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
359.0ms
(cbrt x)
347.0ms
(cbrt x)
199.0ms
(/ (cbrt x) (fma (- t) z y))
108.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (fma (- t) z y)))

simplify2.0s

Counts
126 → 126
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01341634
13121571
212241297
done50001218

prune545.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ 1 (cbrt (fma (- t) z y))) (cbrt (fma (- t) z y)))
6.5b
(cbrt (fma (- t) z y))
6.5b
(cbrt (fma (- t) z y))
6.5b
(cbrt (fma (- t) z y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
144×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
141×cbrt-prod
22×associate-/l*
13×add-exp-log
8×div-inv
7×pow1
6×div-exp associate-/r* add-cbrt-cube
5×pow1/3
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow-div
2×pow-flip
1×rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
Counts
4 → 221
Calls
4 calls:
28.0ms
(/ (/ 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))

series995.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(/ (/ 1 (cbrt (fma (- t) z y))) (cbrt (fma (- t) z y)))
256.0ms
(cbrt (fma (- t) z y))
254.0ms
(cbrt (fma (- t) z y))
279.0ms
(cbrt (fma (- t) z y))

simplify2.1s

Counts
233 → 233
Iterations

Useful iterations: done (2.1s)

IterNodesCost
03166171
17075662
211235446
324835251
done50004720

prune761.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 2.5b

regimes371.0ms

Accuracy

0% (0.1b remaining)

Error of 2.7b against oracle of 2.6b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample1.0s

Algorithm
intervals
Results
404.0ms8342×body80valid