Details

Time bar (total: 7.6s)

sample24.0ms

Algorithm
intervals
Results
11.0ms345×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (21.0ms)

IterNodesCost
0164
1324
2714
31604
42744
54624
67274
78913
810833
912163
1012693
1112693

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.7b
(fma (/ y a) (- t z) 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) (- t z) x)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma (/ y a) (- t z) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04169
19462
227253
3130853
4500153

prune36.0ms

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))
6.1b
(/ (* y (- z t)) a)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt prod-diff
37×*-un-lft-identity
33×add-cube-cbrt
12×times-frac
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/ div-inv
3×expm1-log1p-u sub-neg flip3-- fma-neg associate-*l* associate-/r* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 111
Calls
3 calls:
8.0ms
(- x (/ (* y (- z t)) a))
11.0ms
(* y (- z t))
10.0ms
(/ (* y (- z t)) a)

series128.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- x (/ (* y (- z t)) a))
38.0ms
(* y (- z t))
45.0ms
(/ (* y (- z t)) a)

simplify63.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05051133
12195751
25001747

prune197.0ms

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 (/ a (- z t))))
0.0b
(/ a (- z t))
7.3b
(/ y (/ a (- z t)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
465×times-frac
382×add-sqr-sqrt
375×*-un-lft-identity
287×add-cube-cbrt
204×prod-diff
46×difference-of-squares
44×distribute-lft-out--
32×associate-/r/
26×associate-/r*
18×div-inv
15×flip3-- flip--
10×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 368
Calls
3 calls:
44.0ms
(- x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
10.0ms
(/ y (/ a (- z t)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- x (/ y (/ a (- z t))))
32.0ms
(/ a (- z t))
52.0ms
(/ y (/ a (- z t)))

simplify103.0ms

Algorithm
egg-herbie
Counts
377 → 377
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017089303
150017250

prune752.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (/ y a) (/ 1 (- z t))))
0.0b
(/ 1 (- z t))
5.9b
(/ (/ y a) (/ 1 (- z t)))

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
2680×times-frac
1718×add-sqr-sqrt
1697×*-un-lft-identity
1367×add-cube-cbrt
834×prod-diff
170×difference-of-squares
164×distribute-lft-out--
143×div-inv
112×associate-/r/
55×flip3-- flip--
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
9×cbrt-undiv
5×add-log-exp
4×pow1
3×expm1-log1p-u rec-exp fma-neg 1-exp log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 1235
Calls
3 calls:
127.0ms
(- x (/ (/ y a) (/ 1 (- z t))))
6.0ms
(/ 1 (- z t))
21.0ms
(/ (/ y a) (/ 1 (- z t)))

series146.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(- x (/ (/ y a) (/ 1 (- z t))))
34.0ms
(/ 1 (- z t))
60.0ms
(/ (/ y a) (/ 1 (- z t)))

simplify373.0ms

Algorithm
egg-herbie
Counts
1244 → 1244
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
0500246314

prune4.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes316.0ms

Accuracy

42% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.7b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02214
12214

end0.0ms

sample594.0ms

Algorithm
intervals
Results
286.0ms10698×body80valid