Details

Time bar (total: 4.0s)

sample38.0ms

Algorithm
intervals
Results
25.0ms350×body80valid

simplify44.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

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))
6.0b
(/ t (* (* z 3.0) y))

rewrite52.0ms

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:
34.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
6.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
7.0ms
(/ 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)))
23.0ms
(* (* 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

prune207.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.3b
(* (/ 1 z) (/ y 3.0))
6.0b
(/ t (* (* z 3.0) y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
38×add-sqr-sqrt
30×add-cbrt-cube
28×times-frac
25×*-un-lft-identity
21×add-cube-cbrt
16×associate-*r*
14×associate-*l* prod-exp
11×pow1 div-exp
10×cbrt-unprod
9×add-log-exp
7×cbrt-undiv
6×unswap-sqr
4×pow-prod-down
3×div-inv associate-/l*
2×rec-exp associate-+l+ 1-exp frac-add sum-log *-commutative
1×+-commutative frac-times associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log associate-*r/ associate-*l/ clear-num associate-/r* flip-- flip-+ distribute-lft-out
Counts
4 → 115
Calls
4 calls:
12.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ t (* (* z 3.0) y)))
6.0ms
(* (* z 3.0) y)
13.0ms
(* (/ 1 z) (/ y 3.0))
7.0ms
(/ t (* (* z 3.0) y))

series151.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ t (* (* z 3.0) y)))
19.0ms
(* (* z 3.0) y)
16.0ms
(* (/ 1 z) (/ y 3.0))
32.0ms
(/ t (* (* z 3.0) y))

simplify81.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0656767
13307665
25001655

prune308.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (* (/ 1 z) (/ y 3.0))) (* 0.3333333333333333 (/ t (* z y))))
0.2b
(* 0.3333333333333333 (/ t (* z y)))
0.3b
(* (/ 1 z) (/ y 3.0))
6.0b
(/ t (* z y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×add-exp-log
31×times-frac
30×add-cbrt-cube
25×*-un-lft-identity
23×add-cube-cbrt
20×associate-*r*
16×associate-*l*
13×prod-exp
12×div-exp
9×cbrt-unprod add-log-exp
8×pow1 cbrt-undiv
7×unswap-sqr
4×associate-*r/ div-inv
3×associate-/l*
2×rec-exp associate-+l+ 1-exp pow-prod-down frac-add sum-log *-commutative
1×+-commutative frac-times associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log associate-*l/ clear-num associate-/r* flip-- flip-+
Counts
4 → 121
Calls
4 calls:
9.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (* 0.3333333333333333 (/ t (* z y))))
8.0ms
(* 0.3333333333333333 (/ t (* z y)))
13.0ms
(* (/ 1 z) (/ y 3.0))
3.0ms
(/ t (* z y))

series154.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (* 0.3333333333333333 (/ t (* z y))))
28.0ms
(* 0.3333333333333333 (/ t (* z y)))
16.0ms
(* (/ 1 z) (/ y 3.0))
24.0ms
(/ t (* z y))

simplify78.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0657780
13044679
25001672

prune326.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (* (/ 1 z) (/ y 3.0))) (* 0.3333333333333333 (/ (/ t z) y)))
0.2b
(* 0.3333333333333333 (/ (/ t z) y))
0.3b
(* (/ 1 z) (/ y 3.0))
4.1b
(/ (/ t z) y)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
169×times-frac
122×add-sqr-sqrt
98×*-un-lft-identity
96×add-cube-cbrt
56×associate-*r*
40×add-exp-log
30×add-cbrt-cube
16×associate-*l*
14×div-exp
13×associate-/l*
11×prod-exp div-inv
10×cbrt-undiv
9×add-log-exp unswap-sqr
8×pow1
7×cbrt-unprod
4×associate-*r/
3×associate-/r*
2×rec-exp associate-+l+ 1-exp pow-prod-down frac-add sum-log *-commutative
1×+-commutative frac-times associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log associate-*l/ clear-num flip-- flip-+ associate-/l/
Counts
4 → 208
Calls
4 calls:
9.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (* 0.3333333333333333 (/ (/ t z) y)))
18.0ms
(* 0.3333333333333333 (/ (/ t z) y))
13.0ms
(* (/ 1 z) (/ y 3.0))
9.0ms
(/ (/ t z) y)

series151.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (* 0.3333333333333333 (/ (/ t z) y)))
28.0ms
(* 0.3333333333333333 (/ (/ t z) y))
16.0ms
(* (/ 1 z) (/ y 3.0))
25.0ms
(/ (/ t z) y)

simplify108.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09921384
149911263
250011263

prune621.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes135.0ms

Accuracy

68.3% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.7b

bsearch72.0ms

Steps
ItersRangePoint
7
0.24914757354793585
29.935257973417514
0.30874432416090675
3
-2.493638312085727e-76
-2.0348778606003366e-76
-2.46496578386789e-76

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03915
13915

end0.0ms

sample1.1s

Algorithm
intervals
Results
800.0ms10998×body80valid