Details

Time bar (total: 3.4s)

sample35.0ms

Algorithm
intervals
Results
21.0ms340×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0154
1264
2493
3973
41553
52023
62413
73043
84363
95923
109903
1111253
1212603
1312603

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

1.1b
(fma (/ y a) (- z t) x)

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 (/ y a) (- z t) x)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma (/ y a) (- z t) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04169
19462
227153
3130753
4500153

prune41.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
6.2b
(/ (* y (- z t)) a)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u fma-def times-frac associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 88
Calls
3 calls:
11.0ms
(* y (- z t))
4.0ms
(+ x (/ (* y (- z t)) a))
10.0ms
(/ (* y (- z t)) a)

series136.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* y (- z t))
47.0ms
(+ x (/ (* y (- z t)) a))
50.0ms
(/ (* y (- z t)) a)

simplify46.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0384600
11632428
25001420

prune175.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) a)))
0.0b
(/ (- z t) a)
7.1b
(* y (/ (- z t) a))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×expm1-log1p-u fma-def associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 96
Calls
3 calls:
2.0ms
(+ x (* y (/ (- z t) a)))
8.0ms
(/ (- z t) a)
19.0ms
(* y (/ (- z t) a))

series125.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ x (* y (/ (- z t) a)))
31.0ms
(/ (- z t) a)
48.0ms
(* y (/ (- z t) a))

simplify45.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0356521
11448485
25002470

prune240.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.6b
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt a) (cbrt a))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
18×add-sqr-sqrt
15×cbrt-prod *-un-lft-identity
14×add-cbrt-cube
9×add-cube-cbrt prod-exp cbrt-unprod
6×pow1 cbrt-div
5×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×flip3-- pow1/3 associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 83
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
30.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt a) (cbrt a))))

series632.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (- z t))
154.0ms
(cbrt (- z t))
156.0ms
(cbrt (- z t))
174.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt a) (cbrt a))))

simplify56.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0445801
11719695
25002652

prune331.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083

end0.0ms

sample983.0ms

Algorithm
intervals
Results
665.0ms10644×body80valid