Details

Time bar (total: 2.7s)

sample25.0ms

Algorithm
intervals
Results
11.0ms332×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

2.4b
(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

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.3b
(/ (* y (- z t)) a)

rewrite32.0ms

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:
7.0ms
(+ x (/ (* y (- z t)) a))
12.0ms
(* y (- z t))
10.0ms
(/ (* y (- z t)) a)

series132.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (/ (* y (- z t)) a))
39.0ms
(* y (- z t))
46.0ms
(/ (* y (- z t)) a)

simplify46.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0384600
11632428
25001420

prune188.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
7.9b
(/ y (/ a (- z t)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
106×*-un-lft-identity
104×add-sqr-sqrt
72×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-def log1p-expm1-u
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 160
Calls
3 calls:
27.0ms
(+ x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ x (/ y (/ a (- z t))))
27.0ms
(/ a (- z t))
55.0ms
(/ y (/ a (- z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05591174
124171128
250021122

prune445.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) a)
0.0b
(+ x (* y (/ (- z t) a)))
8.0b
(* y (/ (- z t) a))

rewrite32.0ms

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:
8.0ms
(/ (- z t) a)
2.0ms
(+ x (* y (/ (- z t) a)))
15.0ms
(* y (/ (- z t) a))

series121.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (- z t) a)
50.0ms
(+ x (* y (/ (- z t) a)))
46.0ms
(* y (/ (- z t) a))

simplify40.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0356521
11448485
25002470

prune234.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes293.0ms

Accuracy

78.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02315
12315

end0.0ms

sample635.0ms

Algorithm
intervals
Results
315.0ms10762×body80valid