Details

Time bar (total: 14.5s)

sample27.0ms

Algorithm
intervals
Results
10.0ms266×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: 3.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.1b
(/ x (- y (* z t)))

rewrite20.0ms

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:
8.0ms
(- y (* z t))
11.0ms
(/ x (- y (* z t)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- y (* z t))
72.0ms
(/ x (- y (* z t)))

simplify3.6s

Counts
57 → 57
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
087595
1181580
2425529
31042525
42487506
done5000506

prune226.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ (fma (- t) z y) x))
3.1b
(/ (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:
16.0ms
(/ 1 (/ (fma (- t) z y) x))
10.0ms
(/ (fma (- t) z y) x)

series162.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ 1 (/ (fma (- t) z y) x))
88.0ms
(/ (fma (- t) z y) x)

simplify2.5s

Counts
113 → 113
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
01581772
13111558
25731379
312481359
426511353
done50001353

prune270.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (* (fma (- t) z y) (/ 1 x)))
3.2b
(* (fma (- t) z y) (/ 1 x))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
19×add-sqr-sqrt
18×div-exp
16×prod-exp add-cbrt-cube
14×times-frac
13×*-un-lft-identity associate-*r*
12×add-cube-cbrt
9×rec-exp 1-exp
7×pow1
5×cbrt-undiv
4×cbrt-unprod
3×associate-*l* associate-/l* unswap-sqr
2×expm1-log1p-u pow-flip associate-*r/ pow-prod-down associate-/r/ un-div-inv log1p-expm1-u div-inv add-log-exp
1×frac-2neg clear-num associate-/r* *-commutative inv-pow
Counts
2 → 80
Calls
2 calls:
25.0ms
(/ 1 (* (fma (- t) z y) (/ 1 x)))
26.0ms
(* (fma (- t) z y) (/ 1 x))

series179.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(/ 1 (* (fma (- t) z y) (/ 1 x)))
99.0ms
(* (fma (- t) z y) (/ 1 x))

simplify2.6s

Counts
86 → 86
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01221095
1269854
2667682
32151675
done5002675

prune215.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
1.4b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (fma (- t) z y)))
2.1b
(/ (cbrt x) (fma (- t) z y))

rewrite92.0ms

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:
1.0ms
(cbrt x)
2.0ms
(cbrt x)
71.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (fma (- t) z y)))
11.0ms
(/ (cbrt x) (fma (- t) z y))

series911.0ms

Counts
4 → 12
Calls
4 calls:
316.0ms
(cbrt x)
288.0ms
(cbrt x)
107.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (fma (- t) z y)))
200.0ms
(/ (cbrt x) (fma (- t) z y))

simplify1.8s

Counts
126 → 126
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01341634
13121571
212191297
done50011218

prune491.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 3.1b

regimes297.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample852.0ms

Algorithm
intervals
Results
341.0ms8350×body80valid