Details

Time bar (total: 3.0s)

sample27.0ms

Algorithm
intervals
Results
9.0ms350×body80valid

simplify49.0ms

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

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:

2.5b
(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)

series51.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04169
19462
227153
3130753
4500153

prune37.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ y a) (- z t) x)) (cbrt (fma (/ y a) (- z t) x)))
2.5b
(fma (/ y a) (- z t) x)
2.5b
(fma (/ y a) (- z t) x)
2.5b
(fma (/ y a) (- z t) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
12×add-cube-cbrt *-un-lft-identity
11×pow1
6×add-exp-log pow1/3 swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×fma-udef
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
14.0ms
(* (cbrt (fma (/ y a) (- z t) x)) (cbrt (fma (/ y a) (- z t) x)))
0.0ms
(fma (/ y a) (- z t) x)
0.0ms
(fma (/ y a) (- z t) x)
0.0ms
(fma (/ y a) (- z t) x)

series488.0ms

Counts
4 → 12
Calls
4 calls:
349.0ms
(* (cbrt (fma (/ y a) (- z t) x)) (cbrt (fma (/ y a) (- z t) x)))
45.0ms
(fma (/ y a) (- z t) x)
49.0ms
(fma (/ y a) (- z t) x)
45.0ms
(fma (/ y a) (- z t) x)

simplify79.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0183677
1652618
22893532
35001521

prune224.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.5b
(fma (/ y a) (- z t) x)
2.5b
(fma (/ y a) (- z t) x)
2.5b
(fma (/ y a) (- z t) x)
2.5b
(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)
0.0ms
(fma (/ y a) (- z t) x)

series183.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(fma (/ y a) (- z t) x)
45.0ms
(fma (/ y a) (- z t) x)
48.0ms
(fma (/ y a) (- z t) x)
44.0ms
(fma (/ y a) (- z t) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
041276
194248
2271212
31307212
45001212

prune195.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.6b
(/ (* y (- z t)) a)

rewrite56.0ms

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:
9.0ms
(+ x (/ (* y (- z t)) a))
23.0ms
(* y (- z t))
21.0ms
(/ (* y (- z t)) a)

series145.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ x (/ (* y (- z t)) a))
36.0ms
(* y (- z t))
53.0ms
(/ (* y (- z t)) a)

simplify45.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0384600
11632428
25001420

prune204.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes315.0ms

Accuracy

80.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211
12211

end0.0ms

sample714.0ms

Algorithm
intervals
Results
274.0ms10605×body80valid