Details

Time bar (total: 15.2s)

sample58.0ms

Algorithm
intervals
Results
37.0ms399×body80valid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (39.0ms)

IterNodesCost
03810
11189
24289
317639
450028

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
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
12×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt
6×pow1 add-exp-log add-cbrt-cube add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×fma-neg associate-*r* prod-diff fma-udef
2×flip3-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 65
Calls
4 calls:
0.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
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))

series446.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
181.0ms
(fma b (- (+ y t) 2.0) x)
29.0ms
(* (- t 1.0) a)
79.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

simplify101.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0260488
1859429
24490414
35001413

prune268.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
0.6b
(cbrt (* (- t 1.0) a))
0.6b
(cbrt (* (- t 1.0) a))
0.6b
(cbrt (* (- t 1.0) a))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
11.0ms
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
3.0ms
(cbrt (* (- t 1.0) a))
3.0ms
(cbrt (* (- t 1.0) a))
4.0ms
(cbrt (* (- t 1.0) a))

series352.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
83.0ms
(cbrt (* (- t 1.0) a))
84.0ms
(cbrt (* (- t 1.0) a))
85.0ms
(cbrt (* (- t 1.0) a))

simplify41.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0369876
11139819
25001745

prune418.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- t 1.0) a)
0.0b
(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
0.0b
(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
0.2b
(* (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))) (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×sqrt-prod
23×pow1
18×*-un-lft-identity
16×add-cube-cbrt
11×associate-*l*
10×sqrt-pow1 pow1/2
9×associate-*r*
8×add-exp-log swap-sqr add-cbrt-cube
5×pow-prod-up unswap-sqr
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×pow-sqr
2×rem-sqrt-square associate-*l/ prod-exp *-commutative cbrt-unprod
1×pow2 flip3-- pow-plus sqrt-unprod rem-square-sqrt flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 105
Calls
4 calls:
10.0ms
(* (- t 1.0) a)
1.0ms
(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
1.0ms
(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
7.0ms
(* (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))) (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))))

series11.1s

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (- t 1.0) a)
5.5s
(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
5.4s
(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
160.0ms
(* (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))) (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03471239
113591082
250021026

prune341.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes149.0ms

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

sample1.7s

Algorithm
intervals
Results
1.2s12389×body80valid
1.0ms2×body320valid
1.0ms4×body160valid
0.0ms1×body1280valid
0.0ms1×body640valid