Details

Time bar (total: 3.1s)

sample29.0ms

Algorithm
intervals
Results
16.0ms278×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.7b
(fma (/ (- y z) (- a z)) t x)

rewrite16.0ms

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:
13.0ms
(/ (- y z) (- a z))
0.0ms
(fma (/ (- y z) (- a z)) t x)

series136.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- y z) (- a z))
82.0ms
(fma (/ (- y z) (- a z)) t x)

simplify62.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0258433
1705410
22399410
35001410

prune187.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.4b
(/ 1 (/ (- a z) (- y z)))
1.7b
(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- 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 associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
16.0ms
(/ (- a z) (- y z))
16.0ms
(/ 1 (/ (- a z) (- y z)))
0.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

series385.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- a z) (- y z))
138.0ms
(/ 1 (/ (- a z) (- y z)))
195.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify73.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06201891
127641708
250021537

prune404.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

12.3b
(* (/ t (- a z)) (- y z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×*-un-lft-identity
23×add-cube-cbrt
21×associate-*l*
18×prod-diff
16×times-frac
11×distribute-rgt-in distribute-lft-in
6×add-exp-log add-cbrt-cube
5×associate-*r*
4×distribute-lft-out-- difference-of-squares
3×pow1 flip3-- flip--
2×frac-times sub-neg associate-*r/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 70
Calls
1 calls:
31.0ms
(* (/ t (- a z)) (- y z))

series159.0ms

Counts
1 → 3
Calls
1 calls:
159.0ms
(* (/ t (- a z)) (- y z))

simplify51.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0409645
11648491
25001485

prune155.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

12.2b
(/ (* (- y z) t) (- a z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- div-exp associate-*l/ associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
10.0ms
(/ (* (- y z) t) (- a z))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (* (- y z) t) (- a z))

simplify98.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0209186
1900159
24482159
35001159

prune83.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes220.0ms

Accuracy

74.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02622
12622

end0.0ms

sample790.0ms

Algorithm
intervals
Results
510.0ms8745×body80valid
0.0ms1×body1280valid