Details

Time bar (total: 3.4s)

sample35.0ms

Algorithm
intervals
Results
20.0ms338×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (22.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

2.1b
(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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)

simplify43.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04169
19462
227253
3130853
4500153

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y a) (- t z) x))
2.1b
(fma (/ y a) (- t z) x)
2.1b
(fma (/ y a) (- t z) x)
2.1b
(fma (/ y a) (- t z) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-prod fma-udef
pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ y a) (- t z) x))
0.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (/ y a) (- t z) x)

series311.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (fma (/ y a) (- t z) x))
41.0ms
(fma (/ y a) (- t z) x)
45.0ms
(fma (/ y a) (- t z) x)
43.0ms
(fma (/ y a) (- t z) x)

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0117320
1285290
21046260
35002255

prune164.0ms

Pruning

5 alts after pruning (3 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
(* y (- z t))
7.2b
(/ (* 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
pow1 associate-*r* add-log-exp
associate-*r/ div-inv
expm1-log1p-u sub-neg flip3-- fma-neg associate-*l* associate-/r* flip-- log1p-expm1-u
cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
frac-2neg diff-log pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 111
Calls
3 calls:
5.0ms
(- x (/ (* y (- z t)) a))
14.0ms
(* y (- z t))
10.0ms
(/ (* y (- z t)) a)

series131.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- x (/ (* y (- z t)) a))
38.0ms
(* y (- z t))
46.0ms
(/ (* y (- z t)) a)

simplify68.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05051133
12195751
25001747

prune206.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- z t))
0.0b
(- x (/ y (/ a (- z t))))
6.6b
(/ y (/ a (- z t)))

rewrite86.0ms

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
associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1 expm1-log1p-u fma-neg log1p-expm1-u
frac-2neg clear-num
sub-neg diff-log
Counts
3 → 368
Calls
3 calls:
5.0ms
(/ a (- z t))
38.0ms
(- x (/ y (/ a (- z t))))
13.0ms
(/ y (/ a (- z t)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ a (- z t))
51.0ms
(- x (/ y (/ a (- z t))))
51.0ms
(/ y (/ a (- z t)))

simplify100.0ms

Algorithm
egg-herbie
Counts
377 → 377
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017089303
150017250

prune738.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes189.0ms

Accuracy

65.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02616
12616

end0.0ms

sample992.0ms

Algorithm
intervals
Results
660.0ms10767×body80valid