Details

Time bar (total: 3.4s)

sample25.0ms

Algorithm
intervals
Results
11.0ms362×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1547
2927
31427
41927
52387
62557
72867
83307
94277
104557
115187
125957
138037
148077
158077

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.4b
(/ y (* z 3.0))
6.4b
(/ t (* (* z 3.0) y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt add-log-exp
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down
2×associate-+l+ frac-2neg frac-add clear-num associate-/r* sum-log div-inv distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
11.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
8.0ms
(* (* z 3.0) y)
4.0ms
(/ y (* z 3.0))
6.0ms
(/ t (* (* z 3.0) y))

series139.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
19.0ms
(* (* z 3.0) y)
18.0ms
(/ y (* z 3.0))
28.0ms
(/ t (* (* z 3.0) y))

simplify56.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0405532
12039469
25001469

prune214.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.4b
(/ y (* z 3.0))
4.0b
(/ (/ t (* z 3.0)) y)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
29×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube
13×associate-/l*
9×cbrt-undiv div-exp add-log-exp
7×div-inv
5×associate-/r*
4×pow1
3×frac-2neg prod-exp clear-num cbrt-unprod
2×associate-+l+ frac-add sum-log distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 109
Calls
4 calls:
15.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
4.0ms
(/ t (* z 3.0))
4.0ms
(/ y (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series143.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
19.0ms
(/ t (* z 3.0))
22.0ms
(/ y (* z 3.0))
29.0ms
(/ (/ t (* z 3.0)) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0482721
11906657
25002657

prune296.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.2b
(/ (/ y z) 3.0)
4.0b
(/ (/ t (* z 3.0)) y)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
69×*-un-lft-identity
64×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube associate-/l*
11×div-inv
10×cbrt-undiv div-exp
9×add-log-exp
7×associate-/r*
4×pow1
3×frac-2neg clear-num
2×associate-+l+ frac-add prod-exp sum-log cbrt-unprod associate-/l/ distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ distribute-lft-out--
Counts
4 → 158
Calls
4 calls:
26.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
4.0ms
(/ t (* z 3.0))
6.0ms
(/ (/ y z) 3.0)
6.0ms
(/ (/ t (* z 3.0)) y)

series144.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
19.0ms
(/ t (* z 3.0))
18.0ms
(/ (/ y z) 3.0)
32.0ms
(/ (/ t (* z 3.0)) y)

simplify70.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07281085
129341019
250011019

prune451.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (/ (/ 1 z) 3.0))
0.2b
(/ t (* z 3.0))
0.3b
(/ (/ 1 z) 3.0)
4.0b
(/ (/ t (* z 3.0)) y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
112×add-sqr-sqrt
101×*-un-lft-identity
100×add-cube-cbrt
43×associate-*r*
42×add-exp-log
32×add-cbrt-cube
23×associate-/l*
19×div-exp
15×div-inv
13×cbrt-undiv
7×prod-exp associate-/r*
6×pow1
5×cbrt-unprod
4×add-log-exp unswap-sqr
3×frac-2neg associate-*l* clear-num
2×rec-exp 1-exp associate-/l/
1×associate-*r/ pow-prod-down *-commutative
Counts
4 → 209
Calls
4 calls:
14.0ms
(* y (/ (/ 1 z) 3.0))
4.0ms
(/ t (* z 3.0))
7.0ms
(/ (/ 1 z) 3.0)
6.0ms
(/ (/ t (* z 3.0)) y)

series87.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* y (/ (/ 1 z) 3.0))
18.0ms
(/ t (* z 3.0))
22.0ms
(/ (/ 1 z) 3.0)
28.0ms
(/ (/ t (* z 3.0)) y)

simplify81.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07861240
135901098
250031020

prune512.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes214.0ms

Accuracy

69.6% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03725
13725

end0.0ms

sample638.0ms

Algorithm
intervals
Results
359.0ms11079×body80valid