Details

Time bar (total: 2.7s)

sample24.0ms

Algorithm
intervals
Results
10.0ms352×body80valid

simplify57.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

2.9b
(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)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(fma (/ y a) (- z t) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04169
19462
227153
3130753
4500153

prune30.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
5.6b
(/ (* y (- z t)) a)

rewrite33.0ms

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:
5.0ms
(+ x (/ (* y (- z t)) a))
14.0ms
(* y (- z t))
11.0ms
(/ (* y (- z t)) a)

series130.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ x (/ (* y (- z t)) a))
37.0ms
(* y (- z t))
46.0ms
(/ (* y (- z t)) a)

simplify47.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0384600
11632428
25001420

prune177.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* y (- z t)) (/ 1 a)))
0.0b
(* y (- z t))
5.7b
(* (* y (- z t)) (/ 1 a))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
27×add-exp-log *-un-lft-identity
25×add-cube-cbrt
18×associate-*r* prod-diff
17×add-cbrt-cube
13×prod-exp
11×distribute-rgt-in distribute-lft-in
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×expm1-log1p-u flip3-- fma-def flip-- log1p-expm1-u
2×cbrt-undiv frac-times sub-neg rec-exp 1-exp associate-*l/ *-commutative
1×+-commutative flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 106
Calls
3 calls:
3.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
12.0ms
(* y (- z t))
18.0ms
(* (* y (- z t)) (/ 1 a))

series133.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
34.0ms
(* y (- z t))
49.0ms
(* (* y (- z t)) (/ 1 a))

simplify63.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0511751
12507545
25002529

prune201.0ms

Pruning

6 alts after pruning (3 fresh and 3 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))
6.1b
(/ y (/ a (- z t)))

rewrite56.0ms

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:
32.0ms
(+ x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
10.0ms
(/ y (/ a (- z t)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (/ y (/ a (- z t))))
31.0ms
(/ a (- z t))
54.0ms
(/ y (/ a (- z t)))

simplify63.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05591174
124171128
250021122

prune416.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes318.0ms

Accuracy

83.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02412
12412

end0.0ms

sample628.0ms

Algorithm
intervals
Results
308.0ms10801×body80valid