Details

Time bar (total: 2.6s)

sample26.0ms

Algorithm
intervals
Results
12.0ms357×body80valid

simplify47.0ms

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

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:

1.3b
(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)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(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

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y a) (- t z) x))
1.3b
(fma (/ y a) (- t z) x)
1.3b
(fma (/ y a) (- t z) x)
1.3b
(fma (/ y a) (- t z) x)

rewrite2.0ms

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

series316.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (fma (/ y a) (- t z) x))
46.0ms
(fma (/ y a) (- t z) x)
41.0ms
(fma (/ y a) (- t z) x)
45.0ms
(fma (/ y a) (- t z) x)

simplify34.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0117320
1285290
21046260
35002255

prune161.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.3b
(fma (/ y a) (- t z) x)
1.3b
(fma (/ y a) (- t z) x)
1.3b
(fma (/ y a) (- t z) x)
1.3b
(fma (/ y a) (- t z) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×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
4 → 40
Calls
4 calls:
0.0ms
(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)

series172.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
041276
194248
2272212
31308212
45001212

prune182.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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:
12.0ms
(* y (- z t))
6.0ms
(- x (/ (* y (- z t)) a))
11.0ms
(/ (* y (- z t)) a)

series137.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* y (- z t))
46.0ms
(- x (/ (* y (- z t)) a))
51.0ms
(/ (* y (- z t)) a)

simplify67.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05051133
12195751
25001747

prune194.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes338.0ms

Accuracy

82.5% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02215
12215

end0.0ms

sample625.0ms

Algorithm
intervals
Results
302.0ms10803×body80valid