Details

Time bar (total: 3.2s)

sample25.0ms

Algorithm
intervals
Results
12.0ms367×body80valid

simplify43.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(/ y (* z 3.0))
0.4b
(* (* z 3.0) y)
6.8b
(/ t (* (* z 3.0) y))

rewrite51.0ms

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:
33.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
3.0ms
(/ y (* z 3.0))
6.0ms
(* (* z 3.0) y)
7.0ms
(/ t (* (* z 3.0) y))

series140.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
18.0ms
(/ y (* z 3.0))
19.0ms
(* (* z 3.0) y)
30.0ms
(/ t (* (* z 3.0) y))

simplify51.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0405532
12039469
25001469

prune210.0ms

Filtered
93 candidates to 62 candidates (66.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ y (* z 3.0))
0.5b
(/ t (* z 3.0))
3.3b
(/ (/ t (* z 3.0)) y)

rewrite56.0ms

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:
41.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms
(/ y (* z 3.0))
3.0ms
(/ t (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series138.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
21.0ms
(/ y (* z 3.0))
18.0ms
(/ t (* z 3.0))
27.0ms
(/ (/ t (* z 3.0)) y)

simplify53.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0482721
11906657
25002657

prune290.0ms

Filtered
121 candidates to 87 candidates (71.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
0.2b
(/ y (* z 3.0))
0.2b
(* (/ 1 z) (/ t 3.0))
3.3b
(/ (* (/ 1 z) (/ t 3.0)) y)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
63×add-exp-log
39×add-sqr-sqrt add-cbrt-cube
31×times-frac
29×*-un-lft-identity
27×div-exp
22×add-cube-cbrt
17×prod-exp
15×cbrt-undiv
13×associate-*r* associate-*l*
9×cbrt-unprod add-log-exp
6×pow1 unswap-sqr
4×rec-exp 1-exp associate-/r* div-inv associate-/l*
3×associate-/l/
2×frac-times associate-+l+ frac-2neg associate-*r/ associate-*l/ frac-add clear-num sum-log distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log pow-prod-down *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 130
Calls
4 calls:
31.0ms
(+ (- x (/ y (* z 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
3.0ms
(/ y (* z 3.0))
16.0ms
(* (/ 1 z) (/ t 3.0))
8.0ms
(/ (* (/ 1 z) (/ t 3.0)) y)

series135.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(+ (- x (/ y (* z 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
17.0ms
(/ y (* z 3.0))
19.0ms
(* (/ 1 z) (/ t 3.0))
27.0ms
(/ (* (/ 1 z) (/ t 3.0)) y)

simplify67.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0697857
13211724
25001717

prune296.0ms

Filtered
142 candidates to 91 candidates (64.1%)
Pruning

9 alts after pruning (9 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))) (/ (* (/ 1 z) (/ t 3.0)) y))
0.2b
(* (/ 1 z) (/ t 3.0))
0.3b
(* (/ 1 z) (/ y 3.0))
3.3b
(/ (* (/ 1 z) (/ t 3.0)) y)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
80×add-exp-log
68×add-sqr-sqrt
53×times-frac
46×add-cbrt-cube
40×*-un-lft-identity
34×add-cube-cbrt
33×div-exp
26×associate-*r* associate-*l*
24×prod-exp
17×cbrt-undiv
12×cbrt-unprod unswap-sqr
9×add-log-exp
8×pow1
6×rec-exp 1-exp
5×div-inv
3×frac-times associate-*r/ associate-*l/ associate-/r* associate-/l/
2×associate-+l+ pow-prod-down frac-add sum-log *-commutative
1×+-commutative associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log clear-num flip-- flip-+ distribute-lft-out associate-/l*
Counts
4 → 164
Calls
4 calls:
11.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
16.0ms
(* (/ 1 z) (/ t 3.0))
14.0ms
(* (/ 1 z) (/ y 3.0))
8.0ms
(/ (* (/ 1 z) (/ t 3.0)) y)

series135.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
18.0ms
(* (/ 1 z) (/ t 3.0))
15.0ms
(* (/ 1 z) (/ y 3.0))
27.0ms
(/ (* (/ 1 z) (/ t 3.0)) y)

simplify91.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08611091
14300914
25003897

prune376.0ms

Filtered
176 candidates to 113 candidates (64.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes161.0ms

Accuracy

73.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.8b

bsearch63.0ms

Steps
ItersRangePoint
7
1.0601130552430711e+48
3.444676932514261e+49
9.408088397057412e+48
8
-3.126907524868627e+50
-2.2695294456061805e+47
-5.127543524817619e+47

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03518
13518

end0.0ms

sample655.0ms

Algorithm
intervals
Results
375.0ms11143×body80valid