Details

Time bar (total: 4.9s)

sample40.0ms

Algorithm
intervals
Results
26.0ms364×body80valid

simplify48.0ms

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: 3.0b

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))
0.3b
(* (* z 3.0) y)
5.7b
(/ t (* (* z 3.0) y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×add-sqr-sqrt
23×add-exp-log add-cube-cbrt associate-+l+ add-cbrt-cube
21×prod-diff
15×times-frac
9×pow1 add-log-exp
7×prod-exp cbrt-unprod
6×associate-/l*
5×cbrt-undiv fma-def div-exp div-inv
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down
2×frac-2neg frac-add clear-num associate-/r* sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
42.0ms
(+ (- 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))

series143.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
18.0ms
(/ y (* z 3.0))
20.0ms
(* (* z 3.0) y)
29.0ms
(/ t (* (* z 3.0) y))

simplify72.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0500905
12477746
25001698

prune359.0ms

Pruning

9 alts after pruning (9 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
(/ t (* z 3.0))
0.2b
(/ y (* z 3.0))
4.4b
(/ (/ t (* z 3.0)) y)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×*-un-lft-identity
40×add-sqr-sqrt
38×add-cube-cbrt
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
13×associate-/l*
10×div-inv
9×cbrt-undiv div-exp add-log-exp
5×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg prod-exp clear-num cbrt-unprod
2×frac-add sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 143
Calls
4 calls:
48.0ms
(+ (- 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)

series154.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
20.0ms
(/ t (* z 3.0))
20.0ms
(/ y (* z 3.0))
31.0ms
(/ (/ t (* z 3.0)) y)

simplify78.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05771093
12337935
25001887

prune434.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
0.2b
(* (/ y 3.0) (/ 1 z))
0.2b
(/ t (* z 3.0))
4.4b
(/ (/ t (* z 3.0)) y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
54×add-sqr-sqrt
41×*-un-lft-identity
40×add-exp-log
37×add-cube-cbrt
30×add-cbrt-cube
15×div-exp
13×associate-*r* associate-*l*
11×cbrt-undiv
10×prod-exp associate-/l*
8×div-inv
6×pow1 cbrt-unprod add-log-exp unswap-sqr
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×fma-def
2×rec-exp frac-2neg 1-exp clear-num fma-udef
1×+-commutative frac-times associate-+l+ associate-+r+ flip3-+ associate-*r/ pow-prod-down associate-*l/ sum-log un-div-inv *-commutative flip-+ associate-/l/ distribute-lft-out
Counts
4 → 151
Calls
4 calls:
3.0ms
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
14.0ms
(* (/ y 3.0) (/ 1 z))
3.0ms
(/ t (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series172.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
19.0ms
(* (/ y 3.0) (/ 1 z))
22.0ms
(/ t (* z 3.0))
30.0ms
(/ (/ t (* z 3.0)) y)

simplify82.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07131089
13194948
25001928

prune558.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ y 3.0) (/ 1 z))
0.2b
(/ t (* z 3.0))
0.7b
(/ 1 (/ y (/ t (* z 3.0))))
4.3b
(/ y (/ t (* z 3.0)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
259×times-frac
136×add-sqr-sqrt
121×*-un-lft-identity
119×add-cube-cbrt
74×add-exp-log
44×add-cbrt-cube
38×div-exp
34×associate-/r*
25×div-inv
20×cbrt-undiv
13×associate-*r* associate-*l* prod-exp
9×associate-/l*
7×pow1 cbrt-unprod
6×rec-exp 1-exp associate-/r/ unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 270
Calls
4 calls:
14.0ms
(* (/ y 3.0) (/ 1 z))
3.0ms
(/ t (* z 3.0))
12.0ms
(/ 1 (/ y (/ t (* z 3.0))))
5.0ms
(/ y (/ t (* z 3.0)))

series103.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (/ y 3.0) (/ 1 z))
20.0ms
(/ t (* z 3.0))
28.0ms
(/ 1 (/ y (/ t (* z 3.0))))
30.0ms
(/ y (/ t (* z 3.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
282 → 282
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
010391938
150011672

prune954.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes156.0ms

Accuracy

24.7% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.7b

bsearch115.0ms

Steps
ItersRangePoint
7
4.465887747518746e-23
1.0320989087612647e-20
5.541098349876343e-21
6
-1.8574764930780144e+159
-2.556927948244649e+158
-3.4009677777062143e+158

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05937
16637
26637

end0.0ms

sample1.1s

Algorithm
intervals
Results
755.0ms11163×body80valid