Details

Time bar (total: 4.5s)

sample44.0ms

Algorithm
intervals
Results
30.0ms366×body80valid

simplify52.0ms

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: 4.6b

localize10.0ms

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)
0.5b
(/ y (* z 3.0))
7.0b
(/ t (* (* z 3.0) y))

rewrite54.0ms

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:
35.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
7.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
7.0ms
(/ t (* (* z 3.0) y))

series140.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
22.0ms
(* (* z 3.0) y)
18.0ms
(/ y (* z 3.0))
28.0ms
(/ t (* (* z 3.0) y))

simplify61.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0405532
12039469
25001469

prune196.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.5b
(/ y (* z 3.0))
3.8b
(/ (/ t (* z 3.0)) y)

rewrite53.0ms

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:
38.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms
(/ t (* z 3.0))
3.0ms
(/ y (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series147.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
18.0ms
(/ t (* z 3.0))
18.0ms
(/ y (* z 3.0))
33.0ms
(/ (/ t (* z 3.0)) y)

simplify57.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0482721
11906657
25002657

prune301.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.3b
(* (/ 1 z) (/ y 3.0))
3.8b
(/ (/ t (* z 3.0)) y)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
53×add-sqr-sqrt
40×add-exp-log *-un-lft-identity
36×add-cube-cbrt
30×add-cbrt-cube
15×div-exp
13×associate-*r* associate-*l*
11×cbrt-undiv
10×prod-exp associate-/l*
9×add-log-exp
8×div-inv
6×pow1 cbrt-unprod unswap-sqr
4×associate-/r*
2×rec-exp associate-+l+ frac-2neg 1-exp frac-add clear-num sum-log
1×+-commutative frac-times associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+ associate-/l/ distribute-lft-out
Counts
4 → 143
Calls
4 calls:
18.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms
(/ t (* z 3.0))
14.0ms
(* (/ 1 z) (/ y 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series153.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
18.0ms
(/ t (* z 3.0))
16.0ms
(* (/ 1 z) (/ y 3.0))
35.0ms
(/ (/ t (* z 3.0)) y)

simplify83.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0738956
13458851
25001841

prune359.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (/ 1 z) (sqrt 3.0)) (/ y (sqrt 3.0)))
0.4b
(/ y (sqrt 3.0))
0.4b
(/ (/ 1 z) (sqrt 3.0))
3.8b
(/ (/ t (* z 3.0)) y)

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
386×times-frac
274×add-sqr-sqrt
200×*-un-lft-identity
194×add-cube-cbrt
118×sqrt-prod
82×associate-*l*
59×add-exp-log
41×add-cbrt-cube
29×div-exp
23×associate-/l*
22×associate-*r* div-inv
21×unswap-sqr
18×cbrt-undiv
15×associate-/r*
11×prod-exp
7×cbrt-unprod
6×pow1
4×add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
2×associate-/l/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 354
Calls
4 calls:
57.0ms
(* (/ (/ 1 z) (sqrt 3.0)) (/ y (sqrt 3.0)))
3.0ms
(/ y (sqrt 3.0))
7.0ms
(/ (/ 1 z) (sqrt 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series262.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (/ (/ 1 z) (sqrt 3.0)) (/ y (sqrt 3.0)))
58.0ms
(/ y (sqrt 3.0))
49.0ms
(/ (/ 1 z) (sqrt 3.0))
35.0ms
(/ (/ t (* z 3.0)) y)

simplify63.0ms

Algorithm
egg-herbie
Counts
366 → 366
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012052982
150022657

prune816.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes165.0ms

Accuracy

-2.8% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.7b

bsearch79.0ms

Steps
ItersRangePoint
6
24113395886.136368
362067446476.724
46434150027.62312
8
-2.1331725079447033e+113
-3.703039393322938e+108
-3.7755561996985703e+108

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03536
13536

end0.0ms

sample1.2s

Algorithm
intervals
Results
919.0ms11099×body80valid