Details

Time bar (total: 4.3s)

sample24.0ms

Algorithm
intervals
Results
11.0ms279×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0175
1355
2634
31074
41694
52394
62884
73564
84074
95334
107554
1112564
1213024
1313044
1413044

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.5b
(fma (/ (- y z) (- a z)) t x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
23.0ms
(/ (- y z) (- a z))
0.0ms
(fma (/ (- y z) (- a z)) t x)

series123.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- y z) (- a z))
74.0ms
(fma (/ (- y z) (- a z)) t x)

simplify61.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0258433
1705410
22399410
35001410

prune277.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ (- y z) (- a z)) t x))
1.5b
(fma (/ (- y z) (- a z)) t x)
1.5b
(fma (/ (- y z) (- a z)) t x)
1.5b
(fma (/ (- y z) (- a z)) t 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:
1.0ms
(cbrt (fma (/ (- y z) (- a z)) t x))
0.0ms
(fma (/ (- y z) (- a z)) t x)
0.0ms
(fma (/ (- y z) (- a z)) t x)
0.0ms
(fma (/ (- y z) (- a z)) t x)

series899.0ms

Counts
4 → 12
Calls
4 calls:
457.0ms
(cbrt (fma (/ (- y z) (- a z)) t x))
296.0ms
(fma (/ (- y z) (- a z)) t x)
75.0ms
(fma (/ (- y z) (- a z)) t x)
71.0ms
(fma (/ (- y z) (- a z)) t x)

simplify38.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0118347
1274309
21031306
35001303

prune551.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) t)
10.7b
(/ (* (- y z) t) (- a z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
23.0ms
(* (- y z) t)
22.0ms
(/ (* (- y z) t) (- a z))

series92.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) t)
61.0ms
(/ (* (- y z) t) (- a z))

simplify40.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0265278
11212241
25001241

prune217.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a z) t)
11.2b
(/ (- y z) (/ (- a z) t))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
170×add-sqr-sqrt *-un-lft-identity
86×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 expm1-log1p-u flip3-- frac-2neg div-sub clear-num flip-- log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 179
Calls
2 calls:
17.0ms
(/ (- a z) t)
28.0ms
(/ (- y z) (/ (- a z) t))

series122.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- a z) t)
96.0ms
(/ (- y z) (/ (- a z) t))

simplify75.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
07101622
127841571
250011570

prune752.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes187.0ms

Accuracy

80.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.3b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02518
12518

end0.0ms

sample555.0ms

Algorithm
intervals
Results
290.0ms8761×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid
0.0ms1×body160valid