Details

Time bar (total: 19.1s)

sample73.0ms

Algorithm
intervals
Results
35.0ms413×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5000
42113
3423
2118
138
018

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite2.0ms

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

series398.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x))
194.0ms
(fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x)))
66.0ms
(fma b (- (+ t y) 2.0) x)

simplify489.0ms

Counts
39 → 39
Iterations
IterNodes
done5000
3841
2261
1112
061

prune365.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x)))
1.0ms
(cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x)))
1.0ms
(cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x)))
18.0ms
(* (cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x))) (cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x))))

series3.1s

Counts
4 → 12
Calls
4 calls:
709.0ms
(cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x)))
624.0ms
(cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x)))
706.0ms
(cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x)))
1.0s
(* (cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x))) (cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x))))

simplify771.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
21144
1342
0137

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize187.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt (fma (- 1.0 y) z (fma b (+ y (- t 2.0)) x)))
1.0ms
(cbrt (fma (- 1.0 y) z (fma b (+ y (- t 2.0)) x)))
1.0ms
(cbrt (fma (- 1.0 y) z (fma b (+ y (- t 2.0)) x)))
9.0ms
(* (cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x))) (cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x))))

series2.4s

Counts
4 → 12
Calls
4 calls:
487.0ms
(cbrt (fma (- 1.0 y) z (fma b (+ y (- t 2.0)) x)))
420.0ms
(cbrt (fma (- 1.0 y) z (fma b (+ y (- t 2.0)) x)))
446.0ms
(cbrt (fma (- 1.0 y) z (fma b (+ y (- t 2.0)) x)))
1.1s
(* (cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x))) (cbrt (fma z (- 1.0 y) (fma b (- (+ t y) 2.0) x))))

simplify706.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
21183
1361
0150

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma a (- 1.0 t) (fma (- 1.0 y) z (cbrt (pow (fma b (- (+ t y) 2.0) x) 3))))
0.0b
(fma b (- (+ t y) 2.0) x)
0.1b
(pow (fma b (- (+ t y) 2.0) x) 3)
40.2b
(cbrt (pow (fma b (- (+ t y) 2.0) x) 3))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
unpow-prod-down cube-prod
pow1 add-cbrt-cube add-exp-log
expm1-log1p-u log1p-expm1-u add-log-exp
pow-unpow
cube-mult unpow3 fma-udef sqr-pow
pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 68
Calls
4 calls:
0.0ms
(fma a (- 1.0 t) (fma (- 1.0 y) z (cbrt (pow (fma b (- (+ t y) 2.0) x) 3))))
0.0ms
(fma b (- (+ t y) 2.0) x)
4.0ms
(pow (fma b (- (+ t y) 2.0) x) 3)
4.0ms
(cbrt (pow (fma b (- (+ t y) 2.0) x) 3))

series735.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(fma a (- 1.0 t) (fma (- 1.0 y) z (cbrt (pow (fma b (- (+ t y) 2.0) x) 3))))
64.0ms
(fma b (- (+ t y) 2.0) x)
405.0ms
(pow (fma b (- (+ t y) 2.0) x) 3)
61.0ms
(cbrt (pow (fma b (- (+ t y) 2.0) x) 3))

simplify991.0ms

Counts
80 → 80
Iterations
IterNodes
done5001
21365
1275
0107

prune579.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes697.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
015

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.0s12635×body80valid
0.0msbody640valid
0.0msbody320valid