Details

Time bar (total: 5.0s)

sample40.0ms

Algorithm
intervals
Results
15.0ms383×body80valid
0.0ms1×body160valid

simplify43.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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 b (- (+ y t) 2.0) x)
0.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
25.0ms
(* (- t 1.0) a)
6.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

series300.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(fma b (- (+ y t) 2.0) x)
154.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
27.0ms
(* (- t 1.0) a)
73.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

simplify100.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0260488
1859429
24490414
35001413

prune268.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

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:
27.0ms
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
8.0ms
(cbrt (* (- t 1.0) a))
11.0ms
(cbrt (* (- t 1.0) a))
8.0ms
(cbrt (* (- t 1.0) a))

series344.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
82.0ms
(cbrt (* (- t 1.0) a))
83.0ms
(cbrt (* (- t 1.0) a))
82.0ms
(cbrt (* (- t 1.0) a))

simplify41.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0369876
11139819
25001745

prune579.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (- t 1.0))
0.0b
(- (pow (cbrt (fma b (- (+ y t) 2.0) x)) 3) (* a (- t 1.0)))
0.5b
(cbrt (fma b (- (+ y t) 2.0) x))
0.7b
(pow (cbrt (fma b (- (+ y t) 2.0) x)) 3)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
54×prod-diff
50×add-sqr-sqrt
48×*-un-lft-identity
46×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in associate--r+
21×cbrt-prod
18×unpow-prod-down fma-neg cube-prod
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
5×sub-neg associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×cube-mult pow-unpow unpow3 associate-*l* sqr-pow
2×flip3-- pow-pow pow1/3 associate-*r/ flip--
1×pow-to-exp diff-log pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod distribute-lft-out-- rem-cube-cbrt difference-of-squares unswap-sqr
Counts
4 → 163
Calls
4 calls:
25.0ms
(* a (- t 1.0))
40.0ms
(- (pow (cbrt (fma b (- (+ y t) 2.0) x)) 3) (* a (- t 1.0)))
1.0ms
(cbrt (fma b (- (+ y t) 2.0) x))
4.0ms
(pow (cbrt (fma b (- (+ y t) 2.0) x)) 3)

series436.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* a (- t 1.0))
70.0ms
(- (pow (cbrt (fma b (- (+ y t) 2.0) x)) 3) (* a (- t 1.0)))
147.0ms
(cbrt (fma b (- (+ y t) 2.0) x))
189.0ms
(pow (cbrt (fma b (- (+ y t) 2.0) x)) 3)

simplify83.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06421506
125921151
250011126

prune515.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
6×fma-neg prod-diff
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×fma-udef
2×sub-neg flip3-- diff-log flip--
1×associate--l+
Counts
4 → 61
Calls
4 calls:
6.0ms
(- (fma b (- (+ y t) 2.0) (- x (* a t))) (* (- 1.0) a))
0.0ms
(fma (- 1.0 y) z (+ (- (fma b (- (+ y t) 2.0) (- x (* a t))) (* (- 1.0) a)) (* (- t 1.0) (+ (- a) a))))
6.0ms
(- x (* a t))
0.0ms
(fma b (- (+ y t) 2.0) (- x (* a t)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (fma b (- (+ y t) 2.0) (- x (* a t))) (* (- 1.0) a))
153.0ms
(fma (- 1.0 y) z (+ (- (fma b (- (+ y t) 2.0) (- x (* a t))) (* (- 1.0) a)) (* (- t 1.0) (+ (- a) a))))
28.0ms
(- x (* a t))
61.0ms
(fma b (- (+ y t) 2.0) (- x (* a t)))

simplify106.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0277652
1839550
24150510
35001496

prune295.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes187.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03115
13415
23515
33515

end0.0ms

sample1.1s

Algorithm
intervals
Results
527.0ms12447×body80valid
0.0ms2×body640valid
0.0ms3×body160valid
0.0ms1×body320valid