Details

Time bar (total: 3.0s)

sample26.0ms

Algorithm
intervals
Results
12.0ms354×body80valid

simplify13.0ms

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: 6.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
6.4b
(/ (- (* 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)

series89.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x y) (* z t))
47.0ms
(/ (- (* x y) (* z t)) a)

simplify86.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0218336
1769309
22931308
35001307

prune149.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma (- y) x (* z t))
6.4b
(/ (fma (- y) x (* z t)) (- a))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×add-exp-log neg-mul-1 add-cbrt-cube
3×associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 67
Calls
2 calls:
0.0ms
(fma (- y) x (* z t))
4.0ms
(/ (fma (- y) x (* z t)) (- a))

series104.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(fma (- y) x (* z t))
59.0ms
(/ (fma (- y) x (* z t)) (- a))

simplify50.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0190621
1525594
21955586
35001586

prune199.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ (- a) (fma (- y) x (* z t))))
0.3b
(fma (- y) x (* z t))
6.4b
(/ (- a) (fma (- y) x (* z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
141×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×distribute-lft-neg-in distribute-rgt-neg-in
37×associate-/r*
16×add-exp-log neg-mul-1
13×associate-/l*
10×add-cbrt-cube
8×div-exp
6×div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ fma-udef inv-pow
Counts
3 → 231
Calls
3 calls:
9.0ms
(/ 1 (/ (- a) (fma (- y) x (* z t))))
0.0ms
(fma (- y) x (* z t))
4.0ms
(/ (- a) (fma (- y) x (* z t)))

series167.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(/ 1 (/ (- a) (fma (- y) x (* z t))))
43.0ms
(fma (- y) x (* z t))
45.0ms
(/ (- a) (fma (- y) x (* z t)))

simplify75.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06822712
131142468
250012286

prune422.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 6.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (* (- a) (/ 1 (fma (- y) x (* z t)))))
0.3b
(fma (- y) x (* z t))
0.6b
(/ 1 (fma (- y) x (* z t)))
5.9b
(* (- a) (/ 1 (fma (- y) x (* z t))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
31×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
23×times-frac
20×div-exp add-cbrt-cube
16×prod-exp
13×associate-*r*
10×pow1 rec-exp 1-exp associate-*l*
6×cbrt-undiv associate-/l*
4×expm1-log1p-u associate-/r* cbrt-unprod log1p-expm1-u add-log-exp
3×distribute-lft-neg-in pow-flip distribute-rgt-neg-in div-inv unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r/ un-div-inv inv-pow
1×distribute-lft-neg-out neg-mul-1 *-commutative fma-udef
Counts
4 → 131
Calls
4 calls:
9.0ms
(/ 1 (* (- a) (/ 1 (fma (- y) x (* z t)))))
0.0ms
(fma (- y) x (* z t))
2.0ms
(/ 1 (fma (- y) x (* z t)))
11.0ms
(* (- a) (/ 1 (fma (- y) x (* z t))))

series201.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(/ 1 (* (- a) (/ 1 (fma (- y) x (* z t)))))
43.0ms
(fma (- y) x (* z t))
36.0ms
(/ 1 (fma (- y) x (* z t)))
43.0ms
(* (- a) (/ 1 (fma (- y) x (* z t))))

simplify43.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0381999
11689836
25001801

prune274.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 6.4b

regimes365.0ms

Accuracy

0% (0.3b remaining)

Error of 7.8b against oracle of 7.5b and baseline of 7.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample652.0ms

Algorithm
intervals
Results
326.0ms11175×body80valid