Details

Time bar (total: 3.4s)

sample26.0ms

Algorithm
intervals
Results
12.0ms361×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1354
2514
3714
4854
5894
6894

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.2b
(/ (- (* x y) (* z t)) a)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
7.0ms
(/ (- (* x y) (* z t)) a)

series87.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* x y) (* z t))
50.0ms
(/ (- (* x y) (* z t)) a)

simplify82.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0218336
1769309
22931308
35001307

prune151.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
5.1b
(/ (* x y) a)
6.4b
(/ (* t z) a)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
51×times-frac
49×prod-diff
39×add-sqr-sqrt *-un-lft-identity
37×add-cube-cbrt
19×div-inv
13×add-exp-log add-cbrt-cube
7×fma-neg
6×associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 121
Calls
3 calls:
13.0ms
(- (/ (* x y) a) (/ (* t z) a))
3.0ms
(/ (* x y) a)
3.0ms
(/ (* t z) a)

series110.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (/ (* x y) a) (/ (* t z) a))
19.0ms
(/ (* x y) a)
24.0ms
(/ (* t z) a)

simplify66.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04721466
119691032
250011024

prune253.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

3.7b
(fma (/ x 1) (/ y a) (- (/ (* t z) a)))
6.4b
(/ (* t z) a)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×times-frac associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
1×frac-2neg prod-exp clear-num cbrt-unprod fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma (/ x 1) (/ y a) (- (/ (* t z) a)))
6.0ms
(/ (* t z) a)

series86.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(fma (/ x 1) (/ y a) (- (/ (* t z) a)))
20.0ms
(/ (* t z) a)

simplify66.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0144192
1600163
22887162
35002162

prune113.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(* (cbrt a) (cbrt a))
3.7b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
3.7b
(fma (/ x 1) (/ y a) (- (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
30×cbrt-prod
28×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
27×add-exp-log
18×add-cbrt-cube
13×pow1 associate-*l*
10×unswap-sqr
9×prod-exp cbrt-unprod
7×cbrt-undiv pow1/3 div-exp
6×swap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ fma-udef
Counts
4 → 126
Calls
4 calls:
0.0ms
(cbrt a)
6.0ms
(* (cbrt a) (cbrt a))
24.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
0.0ms
(fma (/ x 1) (/ y a) (- (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))))

series533.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt a)
197.0ms
(* (cbrt a) (cbrt a))
46.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
107.0ms
(fma (/ x 1) (/ y a) (- (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))))

simplify89.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
05241002
12980817
25001767

prune430.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes524.0ms

Accuracy

84% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 7.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04126
15526
25526

end0.0ms

sample633.0ms

Algorithm
intervals
Results
310.0ms11213×body80valid