Details

Time bar (total: 13.6s)

sample43.0ms

Algorithm
intervals
Results
21.0ms408×body80valid
0.0ms1×body1280valid

simplify492.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (103.0ms)

IterNodesCost
01821
13821
211719
334819
4137318
done500018

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))
0.0b
(fma (- 1.0 y) z x)
0.0b
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
3 → 30
Calls
3 calls:
0.0ms
(fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))
0.0ms
(fma (- 1.0 y) z x)
0.0ms
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))

series279.0ms

Counts
3 → 9
Calls
3 calls:
170.0ms
(fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))
29.0ms
(fma (- 1.0 y) z x)
80.0ms
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))

simplify310.0ms

Counts
39 → 39
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
058588
1103578
2241494
3806490
done5000490

prune151.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- 1.0 y) z x)) (cbrt (fma (- 1.0 y) z x)))
0.5b
(cbrt (fma (- 1.0 y) z x))
0.5b
(cbrt (fma (- 1.0 y) z x))
0.5b
(cbrt (fma (- 1.0 y) z x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma (- 1.0 y) z x)) (cbrt (fma (- 1.0 y) z x)))
0.0ms
(cbrt (fma (- 1.0 y) z x))
0.0ms
(cbrt (fma (- 1.0 y) z x))
1.0ms
(cbrt (fma (- 1.0 y) z x))

series438.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (cbrt (fma (- 1.0 y) z x)) (cbrt (fma (- 1.0 y) z x)))
110.0ms
(cbrt (fma (- 1.0 y) z x))
115.0ms
(cbrt (fma (- 1.0 y) z x))
110.0ms
(cbrt (fma (- 1.0 y) z x))

simplify2.6s

Counts
93 → 93
Iterations

Useful iterations: 3 (538.0ms)

IterNodesCost
01311812
13111668
210661536
347761201
done50001201

prune392.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))) (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
0.6b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
0.6b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
0.6b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))) (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
0.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
0.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
1.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))

series2.5s

Counts
4 → 12
Calls
4 calls:
1.2s
(* (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))) (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
442.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
431.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
427.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))

simplify2.0s

Counts
93 → 93
Iterations

Useful iterations: 3 (514.0ms)

IterNodesCost
01403604
13293363
210473064
341472449
done50002449

prune378.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (sqrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
0.3b
(cbrt (sqrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
0.6b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
0.6b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 58
Calls
4 calls:
1.0ms
(cbrt (sqrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
1.0ms
(cbrt (sqrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
1.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
1.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))

series1.7s

Counts
4 → 12
Calls
4 calls:
434.0ms
(cbrt (sqrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
442.0ms
(cbrt (sqrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
440.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
433.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))

simplify681.0ms

Counts
70 → 70
Iterations

Useful iterations: done (678.0ms)

IterNodesCost
01232298
12712212
26692040
321061838
done50001822

prune350.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01518
11618
done1618

end0.0ms

sample989.0ms

Algorithm
intervals
Results
558.0ms12546×body80valid
1.0ms3×body1280valid
0.0ms2×body640valid
0.0ms1×body320valid
0.0ms1×body160valid