Details

Time bar (total: 5.0s)

sample40.0ms

Algorithm
intervals
Results
20.0ms393×body80valid

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

localize14.0ms

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

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)))
10.0ms
(* (- t 1.0) a)
3.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0ms
(fma b (- (+ y t) 2.0) x)

series345.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
28.0ms
(* (- t 1.0) a)
105.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
49.0ms
(fma b (- (+ y t) 2.0) x)

simplify106.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0260488
1859429
24490414
35001413

prune271.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 1.0 y) z (+ (- (pow (cbrt (fma b (- (+ y t) 2.0) x)) 3) (* a (- t 1.0))) (* (- t 1.0) (+ (- a) a))))
0.0b
(fma b (- (+ y t) 2.0) x)
0.6b
(cbrt (fma b (- (+ y t) 2.0) x))
0.7b
(pow (cbrt (fma b (- (+ y t) 2.0) x)) 3)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod
6×unpow-prod-down cube-prod
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow pow1/3 fma-udef
1×cube-mult pow-to-exp unpow3 pow-exp rem-cube-cbrt sqr-pow
Counts
4 → 65
Calls
4 calls:
0.0ms
(fma (- 1.0 y) z (+ (- (pow (cbrt (fma b (- (+ y t) 2.0) x)) 3) (* a (- t 1.0))) (* (- t 1.0) (+ (- a) a))))
0.0ms
(fma b (- (+ y t) 2.0) x)
0.0ms
(cbrt (fma b (- (+ y t) 2.0) x))
2.0ms
(pow (cbrt (fma b (- (+ y t) 2.0) x)) 3)

series566.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(fma (- 1.0 y) z (+ (- (pow (cbrt (fma b (- (+ y t) 2.0) x)) 3) (* a (- t 1.0))) (* (- t 1.0) (+ (- a) a))))
49.0ms
(fma b (- (+ y t) 2.0) x)
161.0ms
(cbrt (fma b (- (+ y t) 2.0) x))
193.0ms
(pow (cbrt (fma b (- (+ y t) 2.0) x)) 3)

simplify49.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0371662
11339579
25001563

prune303.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma b (- (+ y t) 2.0) x))
0.6b
(cbrt (fma b (- (+ y t) 2.0) x))
0.6b
(cbrt (fma b (- (+ y t) 2.0) x))
0.7b
(pow (* (cbrt (* (cbrt (fma b (- (+ y t) 2.0) x)) (cbrt (fma b (- (+ y t) 2.0) x)))) (cbrt (cbrt (fma b (- (+ y t) 2.0) x)))) 3)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
5×pow1/3 add-cbrt-cube
4×expm1-log1p-u pow-pow log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-prod-down pow-exp rem-cube-cbrt
1×cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod pow3 prod-exp cbrt-unprod sqr-pow
Counts
4 → 65
Calls
4 calls:
0.0ms
(cbrt (fma b (- (+ y t) 2.0) x))
0.0ms
(cbrt (fma b (- (+ y t) 2.0) x))
0.0ms
(cbrt (fma b (- (+ y t) 2.0) x))
5.0ms
(pow (* (cbrt (* (cbrt (fma b (- (+ y t) 2.0) x)) (cbrt (fma b (- (+ y t) 2.0) x)))) (cbrt (cbrt (fma b (- (+ y t) 2.0) x)))) 3)

series699.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt (fma b (- (+ y t) 2.0) x))
165.0ms
(cbrt (fma b (- (+ y t) 2.0) x))
164.0ms
(cbrt (fma b (- (+ y t) 2.0) x))
203.0ms
(pow (* (cbrt (* (cbrt (fma b (- (+ y t) 2.0) x)) (cbrt (fma b (- (+ y t) 2.0) x)))) (cbrt (cbrt (fma b (- (+ y t) 2.0) x)))) 3)

simplify40.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0283948
1968826
25001625

prune568.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×prod-diff
35×add-sqr-sqrt
33×*-un-lft-identity
31×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in associate--r+
5×pow1 add-exp-log sub-neg associate-*r* add-cbrt-cube add-log-exp
3×expm1-log1p-u fma-neg associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip-- fma-udef
1×diff-log pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 99
Calls
3 calls:
11.0ms
(* a (- t 1.0))
0.0ms
(fma (- 1.0 y) z (+ (- (fma b y (- x (* 2.0 b))) (* a (- t 1.0))) (* (- t 1.0) (+ (- a) a))))
8.0ms
(- (fma b y (- x (* 2.0 b))) (* a (- t 1.0)))

series282.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* a (- t 1.0))
148.0ms
(fma (- 1.0 y) z (+ (- (fma b y (- x (* 2.0 b))) (* a (- t 1.0))) (* (- t 1.0) (+ (- a) a))))
105.0ms
(- (fma b y (- x (* 2.0 b))) (* a (- t 1.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0398974
11442729
25002670

prune316.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample961.0ms

Algorithm
intervals
Results
538.0ms12629×body80valid
0.0ms2×body320valid
0.0ms1×body1280valid
0.0ms2×body160valid
0.0ms1×body640valid