Details

Time bar (total: 20.1s)

sample36.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.6s)

IterNodesCost
01317
12617
26117
314717
435217
576815
6260113
done500013

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
1.0b
(fma (/ t z) (- (/ y 2.0)) z)
5.1b
(/ y (fma (/ t z) (- (/ y 2.0)) z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
48×*-un-lft-identity
46×add-cube-cbrt
39×prod-diff
37×times-frac
5×add-exp-log add-cbrt-cube add-log-exp
4×div-inv
3×pow1 expm1-log1p-u fma-neg associate-/r* log1p-expm1-u associate-/l*
2×difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- fma-udef distribute-lft-out--
Counts
3 → 98
Calls
3 calls:
13.0ms
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
0.0ms
(fma (/ t z) (- (/ y 2.0)) z)
5.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))

series199.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
56.0ms
(fma (/ t z) (- (/ y 2.0)) z)
87.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))

simplify2.8s

Counts
107 → 107
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01874444
14153973
210512947
337252300
done50012300

prune305.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y)))
0.7b
(/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y))
1.0b
(fma (/ t z) (- (/ y 2.0)) z)
5.1b
(/ (fma (/ t z) (- (/ y 2.0)) z) y)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
218×add-sqr-sqrt
209×*-un-lft-identity
204×add-cube-cbrt
132×prod-diff
19×div-inv
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×associate-/l* add-log-exp
5×pow1 difference-of-squares
4×cbrt-undiv expm1-log1p-u associate-/r/ log1p-expm1-u
3×fma-neg
2×rec-exp frac-2neg 1-exp clear-num distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log flip-- fma-udef inv-pow
Counts
4 → 273
Calls
4 calls:
33.0ms
(- x (/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y)))
12.0ms
(/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y))
0.0ms
(fma (/ t z) (- (/ y 2.0)) z)
11.0ms
(/ (fma (/ t z) (- (/ y 2.0)) z) y)

series481.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(- x (/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y)))
214.0ms
(/ 1 (/ (fma (/ t z) (- (/ y 2.0)) z) y))
64.0ms
(fma (/ t z) (- (/ y 2.0)) z)
77.0ms
(/ (fma (/ t z) (- (/ y 2.0)) z) y)

simplify1.5s

Counts
285 → 285
Iterations

Useful iterations: done (1.5s)

IterNodesCost
050016534
1119914044
2216610336
done50018554

prune578.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

9.8b
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
9.8b
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
9.8b
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
9.8b
(cbrt (fma (/ t z) (- (/ y 2.0)) z))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
1.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
1.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
1.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))

series1.6s

Counts
4 → 12
Calls
4 calls:
347.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
359.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
442.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
487.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))

simplify2.5s

Counts
64 → 64
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
0611028
11251004
2320916
31110892
44040864
done5001864

prune485.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

1.0b
(fma (/ t z) (- (/ y 2.0)) z)
1.0b
(fma (/ t z) (- (/ y 2.0)) z)
2.5b
(/ (cbrt y) (fma (/ t z) (- (/ y 2.0)) z))
4.9b
(* (/ -1 (fma (/ t z) (- (/ y 2.0)) z)) (pow (cbrt y) 3))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
33×times-frac
31×add-cube-cbrt *-un-lft-identity
22×cbrt-prod
19×add-exp-log
18×associate-*r*
13×associate-*l*
12×unswap-sqr
10×unpow-prod-down cube-prod add-cbrt-cube
6×prod-exp associate-/l*
4×pow1 expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-/r* sqr-pow
2×cbrt-undiv pow-to-exp pow-exp cbrt-unprod fma-udef div-inv
1×cube-mult frac-2neg unpow3 associate-*l/ clear-num *-commutative
Counts
4 → 123
Calls
4 calls:
1.0ms
(fma (/ t z) (- (/ y 2.0)) z)
1.0ms
(fma (/ t z) (- (/ y 2.0)) z)
12.0ms
(/ (cbrt y) (fma (/ t z) (- (/ y 2.0)) z))
47.0ms
(* (/ -1 (fma (/ t z) (- (/ y 2.0)) z)) (pow (cbrt y) 3))

series1.1s

Counts
4 → 12
Calls
4 calls:
477.0ms
(fma (/ t z) (- (/ y 2.0)) z)
82.0ms
(fma (/ t z) (- (/ y 2.0)) z)
287.0ms
(/ (cbrt y) (fma (/ t z) (- (/ y 2.0)) z))
274.0ms
(* (/ -1 (fma (/ t z) (- (/ y 2.0)) z)) (pow (cbrt y) 3))

simplify2.4s

Counts
135 → 135
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01712591
13652336
29862161
328352156
done50002156

prune713.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes273.0ms

Accuracy

0% (0.6b remaining)

Error of 1.1b against oracle of 0.5b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11313
done1313

end0.0ms

sample1.3s

Algorithm
intervals
Results
782.0ms8000×body80valid