Details

Time bar (total: 3.3s)

sample32.0ms

Algorithm
intervals
Results
17.0ms343×body80valid

simplify54.0ms

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: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
4.7b
(/ (* 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:
15.0ms
(* y (- z t))
5.0ms
(+ x (/ (* y (- z t)) a))
10.0ms
(/ (* y (- z t)) a)

series133.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (- z t))
52.0ms
(+ x (/ (* y (- z t)) a))
47.0ms
(/ (* y (- z t)) a)

simplify49.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0384600
11632428
25001420

prune177.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ 1 (/ a (* y (- z t)))))
0.4b
(/ 1 (/ a (* y (- z t))))
4.7b
(/ a (* y (- z t)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
43×add-sqr-sqrt
42×times-frac
39×add-cube-cbrt
32×add-exp-log
20×add-cbrt-cube
18×prod-diff
14×div-exp
12×associate-*r/
11×distribute-rgt-in distribute-lft-in associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-- flip-- associate-/l* add-log-exp
5×associate-*r* prod-exp
4×expm1-log1p-u log1p-expm1-u
3×rec-exp fma-def 1-exp associate-*l* cbrt-unprod
2×sub-neg frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 155
Calls
4 calls:
12.0ms
(* y (- z t))
14.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
10.0ms
(/ 1 (/ a (* y (- z t))))
5.0ms
(/ a (* y (- z t)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* y (- z t))
44.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
53.0ms
(/ 1 (/ a (* y (- z t))))
36.0ms
(/ a (* y (- z t)))

simplify64.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05421104
12444820
25001807

prune270.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
4.7b
(/ a (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- z t))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
16×add-cbrt-cube
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×prod-exp cbrt-unprod
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/l*
2×associate-/r/
1×flip3-- frac-2neg clear-num associate-/r* flip-- div-inv
Counts
4 → 70
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
26.0ms
(/ a (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- z t))))

series610.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt y)
173.0ms
(cbrt y)
177.0ms
(cbrt y)
74.0ms
(/ a (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- z t))))

simplify44.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0295487
11368373
25002342

prune241.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

4.0b
(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)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(fma (/ y a) (- z t) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04169
19462
227153
3130753
4500153

prune28.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes307.0ms

Accuracy

91.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.4b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02616
12616

end0.0ms

sample894.0ms

Algorithm
intervals
Results
548.0ms10766×body80valid