Details

Time bar (total: 5.2s)

sample39.0ms

Algorithm
intervals
Results
15.0ms404×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (38.0ms)

IterNodesCost
03810
11189
24289
317639
450028

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
22×add-sqr-sqrt
16×add-cube-cbrt
15×prod-diff
11×add-log-exp
7×fma-neg
6×pow1 add-exp-log add-cbrt-cube
5×associate-*l* distribute-lft-out
4×expm1-log1p-u log1p-expm1-u
3×flip3-- diff-log associate-*r* flip-- distribute-lft-out--
2×sub-neg associate-*l/ associate--l+ fma-udef difference-of-squares
1×pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 90
Calls
4 calls:
0.0ms
(fma b (- (+ y t) 2.0) x)
22.0ms
(* (- t 1.0) a)
42.0ms
(- (+ y t) 2.0)
9.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

series144.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(fma b (- (+ y t) 2.0) x)
25.0ms
(* (- t 1.0) a)
16.0ms
(- (+ y t) 2.0)
65.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

simplify39.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0356607
11267472
25002464

prune286.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite371.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
39×prod-diff
36×add-sqr-sqrt
30×add-cube-cbrt
15×distribute-rgt-in distribute-lft-in
14×add-log-exp
12×distribute-lft-out
7×fma-neg
6×pow1 add-exp-log associate-*r* add-cbrt-cube
5×flip3-- flip--
4×expm1-log1p-u sub-neg diff-log associate-*l/ associate--l+ frac-sub log1p-expm1-u distribute-lft-out--
3×associate-*l*
2×flip3-+ associate-*r/ sum-log flip-+ difference-of-squares
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 126
Calls
4 calls:
0.0ms
(fma (- 1.0 y) z (- (+ (* b (- (+ y t) 2.0)) x) (* (- t 1.0) a)))
42.0ms
(- (+ y t) 2.0)
83.0ms
(* b (- (+ y t) 2.0))
241.0ms
(- (+ (* b (- (+ y t) 2.0)) x) (* (- t 1.0) a))

series252.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(fma (- 1.0 y) z (- (+ (* b (- (+ y t) 2.0)) x) (* (- t 1.0) a)))
14.0ms
(- (+ y t) 2.0)
27.0ms
(* b (- (+ y t) 2.0))
70.0ms
(- (+ (* b (- (+ y t) 2.0)) x) (* (- t 1.0) a))

simplify68.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05711286
12386940
25001932

prune301.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ y t) (+ y t))
0.0b
(- (+ (/ (* b (- (* (+ y t) (+ y t)) (* 2.0 2.0))) (+ (+ y t) 2.0)) x) (* (- t 1.0) a))
5.9b
(* b (- (* (+ y t) (+ y t)) (* 2.0 2.0)))
14.0b
(/ (* b (- (* (+ y t) (+ y t)) (* 2.0 2.0))) (+ (+ y t) 2.0))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
18×add-sqr-sqrt
14×add-cube-cbrt distribute-lft-out
13×pow1 add-exp-log add-cbrt-cube
9×flip3-+ flip-+ add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r*
7×associate-*l*
6×associate-*r/ swap-sqr prod-diff associate-*l/
5×flip3-- times-frac associate--l+ associate-/r* flip--
4×expm1-log1p-u frac-times fma-neg frac-sub log1p-expm1-u
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv diff-log div-exp pow-prod-down associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus clear-num sum-log pow-sqr pow-prod-up div-inv associate-/l* difference-of-squares
Counts
4 → 134
Calls
4 calls:
33.0ms
(* (+ y t) (+ y t))
1.0s
(- (+ (/ (* b (- (* (+ y t) (+ y t)) (* 2.0 2.0))) (+ (+ y t) 2.0)) x) (* (- t 1.0) a))
68.0ms
(* b (- (* (+ y t) (+ y t)) (* 2.0 2.0)))
72.0ms
(/ (* b (- (* (+ y t) (+ y t)) (* 2.0 2.0))) (+ (+ y t) 2.0))

series392.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (+ y t) (+ y t))
235.0ms
(- (+ (/ (* b (- (* (+ y t) (+ y t)) (* 2.0 2.0))) (+ (+ y t) 2.0)) x) (* (- t 1.0) a))
54.0ms
(* b (- (* (+ y t) (+ y t)) (* 2.0 2.0)))
89.0ms
(/ (* b (- (* (+ y t) (+ y t)) (* 2.0 2.0))) (+ (+ y t) 2.0))

simplify113.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
08331579
141111425
250011414

prune404.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma t (- b a) (* y b))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma t (- b a) (* y b))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(fma t (- b a) (* y b))

simplify51.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03860
18149
231849
3171549
4500149

prune32.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes131.0ms

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

sample1.2s

Algorithm
intervals
Results
534.0ms12476×body80valid
0.0ms1×body320valid
0.0ms1×body160valid