Details

Time bar (total: 4.4s)

sample37.0ms

Algorithm
intervals
Results
17.0ms381×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (42.0ms)

IterNodesCost
03810
11189
24289
317639
450028

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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:
3.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
9.0ms
(* (- t 1.0) a)
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)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
33.0ms
(* (- t 1.0) a)
45.0ms
(fma b (- (+ y t) 2.0) x)
167.0ms
(fma (- 1.0 y) z (- (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
1831429
24460414
35001413

prune290.0ms

Pruning

6 alts after pruning (6 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)))
0.6b
(cbrt (* (- t 1.0) a))
0.6b
(cbrt (* (- t 1.0) a))
0.6b
(cbrt (* (- t 1.0) a))

rewrite24.0ms

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))

series362.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
85.0ms
(cbrt (* (- t 1.0) a))
86.0ms
(cbrt (* (- t 1.0) a))
88.0ms
(cbrt (* (- t 1.0) a))

simplify40.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0369876
11139819
25001745

prune471.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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

series280.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(- (fma b y (- x (* 2.0 b))) (* (- t 1.0) a))
29.0ms
(* (- t 1.0) a)
150.0ms
(fma (- 1.0 y) z (- (fma b y (- x (* 2.0 b))) (* (- t 1.0) a)))

simplify99.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0247434
1815380
24520359
35001358

prune238.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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 (fma b t x))
3.0ms
(- (fma b y (fma b t x)) (* (- t 1.0) a))
9.0ms
(* (- t 1.0) a)
0.0ms
(fma (- 1.0 y) z (- (fma b y (fma b t x)) (* (- t 1.0) a)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(fma b y (fma b t x))
78.0ms
(- (fma b y (fma b t x)) (* (- t 1.0) a))
29.0ms
(* (- t 1.0) a)
144.0ms
(fma (- 1.0 y) z (- (fma b y (fma b t x)) (* (- t 1.0) a)))

simplify34.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0246432
1888381
25002370

prune263.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes359.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02217
12217

end0.0ms

sample1.0s

Algorithm
intervals
Results
581.0ms12384×body80valid
0.0ms2×body640valid
0.0ms2×body320valid
0.0ms1×body160valid