Details

Time bar (total: 5.1s)

sample54.0ms

Algorithm
intervals
Results
34.0ms411×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (41.0ms)

IterNodesCost
03810
11189
24289
317639
450028

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×*-un-lft-identity
7×add-cube-cbrt
5×pow1 add-exp-log associate-*l* add-cbrt-cube add-log-exp
3×expm1-log1p-u fma-neg associate-*r* prod-diff log1p-expm1-u
2×flip3-- associate-*l/ flip-- fma-udef
1×sub-neg diff-log pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 55
Calls
3 calls:
0.0ms
(fma b (- (+ y t) 2.0) x)
10.0ms
(* (- t 1.0) a)
3.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

series155.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(fma b (- (+ y t) 2.0) x)
33.0ms
(* (- t 1.0) a)
78.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

simplify96.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0234364
1798324
24190312
35001310

prune223.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
2.0ms
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
2.0ms
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
2.0ms
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
15.0ms
(* (cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) (cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))

series1.5s

Counts
4 → 12
Calls
4 calls:
254.0ms
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
252.0ms
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
256.0ms
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
755.0ms
(* (cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) (cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))

simplify51.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04041906
112841794
250011657

prune466.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma b (- (+ y t) 2.0) x) (* (* (- t 1.0) (sqrt a)) (sqrt a)))
0.0b
(fma b (- (+ y t) 2.0) x)
0.1b
(* (- t 1.0) (sqrt a))
0.3b
(* (* (- t 1.0) (sqrt a)) (sqrt a))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity
12×associate-*r*
11×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
7×sqrt-prod
6×associate-*l* associate-*l/ add-log-exp
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×flip3-- fma-neg prod-diff flip--
2×*-commutative fma-udef unswap-sqr
1×sub-neg diff-log associate--l+ distribute-lft-out-- difference-of-squares
Counts
4 → 84
Calls
4 calls:
2.0ms
(- (fma b (- (+ y t) 2.0) x) (* (* (- t 1.0) (sqrt a)) (sqrt a)))
0.0ms
(fma b (- (+ y t) 2.0) x)
12.0ms
(* (- t 1.0) (sqrt a))
23.0ms
(* (* (- t 1.0) (sqrt a)) (sqrt a))

series356.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(- (fma b (- (+ y t) 2.0) x) (* (* (- t 1.0) (sqrt a)) (sqrt a)))
45.0ms
(fma b (- (+ y t) 2.0) x)
50.0ms
(* (- t 1.0) (sqrt a))
36.0ms
(* (* (- t 1.0) (sqrt a)) (sqrt a))

simplify44.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0367686
11408552
25002522

prune363.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample1.4s

Algorithm
intervals
Results
985.0ms12656×body80valid
1.0ms3×body320valid
0.0ms1×body160valid