Details

Time bar (total: 2.5s)

sample26.0ms

Algorithm
intervals
Results
9.0ms353×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

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

localize7.0ms

Local error

Found 1 expressions with local error:

2.2b
(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:
1.0ms
(fma (/ y a) (- z t) x)

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(fma (/ y a) (- z t) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
04169
19462
227153
3130753
4500153

prune40.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y a) (- z t) x))
2.2b
(fma (/ y a) (- z t) x)
2.2b
(fma (/ y a) (- z t) x)
2.2b
(fma (/ y a) (- z t) x)

rewrite3.0ms

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:
1.0ms
(cbrt (fma (/ y a) (- z t) x))
0.0ms
(fma (/ y a) (- z t) x)
0.0ms
(fma (/ y a) (- z t) x)
1.0ms
(fma (/ y a) (- z t) x)

series330.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt (fma (/ y a) (- z t) x))
42.0ms
(fma (/ y a) (- z t) x)
46.0ms
(fma (/ y a) (- z t) x)
42.0ms
(fma (/ y a) (- z t) x)

simplify45.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0117320
1285290
21048260
35001255

prune175.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

2.2b
(fma (/ y a) (- z t) x)
2.2b
(fma (/ y a) (- z t) x)
2.2b
(fma (/ y a) (- z t) x)
2.2b
(fma (/ y a) (- z t) 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) (- z t) x)
0.0ms
(fma (/ y a) (- z t) x)
0.0ms
(fma (/ y a) (- z t) x)
1.0ms
(fma (/ y a) (- z t) x)

series177.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(fma (/ y a) (- z t) x)
46.0ms
(fma (/ y a) (- z t) x)
43.0ms
(fma (/ y a) (- z t) x)
46.0ms
(fma (/ y a) (- z t) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
041276
194248
2271212
31307212
45001212

prune199.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
25.0ms
(* y (- z t))
22.0ms
(/ (* y (- z t)) a)

series85.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (- z t))
47.0ms
(/ (* y (- z t)) a)

simplify51.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0313491
11415328
25001322

prune140.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes241.0ms

Accuracy

83.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02816
12816

end0.0ms

sample709.0ms

Algorithm
intervals
Results
289.0ms10674×body80valid