Details

Time bar (total: 30.2s)

sample30.0ms

Algorithm
intervals
Results
13.0ms344×body80valid

simplify55.0ms

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: 4.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.3b
(/ y (* z 3.0))
0.7b
(* (* z 3.0) y)
7.8b
(/ t (* (* z 3.0) y))

rewrite137.0ms

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:
88.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
8.0ms
(/ y (* z 3.0))
20.0ms
(* (* z 3.0) y)
18.0ms
(/ t (* (* z 3.0) y))

series159.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
20.0ms
(/ y (* z 3.0))
25.0ms
(* (* z 3.0) y)
31.0ms
(/ t (* (* z 3.0) y))

simplify72.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0500905
12477746
25001698

prune371.0ms

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))
0.3b
(/ y (* z 3.0))
0.4b
(/ t (* z 3.0))
4.1b
(/ (/ t (* z 3.0)) y)

rewrite129.0ms

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:
91.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
8.0ms
(/ y (* z 3.0))
11.0ms
(/ t (* z 3.0))
15.0ms
(/ (/ t (* z 3.0)) y)

series158.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
20.0ms
(/ y (* z 3.0))
20.0ms
(/ t (* z 3.0))
34.0ms
(/ (/ t (* z 3.0)) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05771093
12337935
25001887

prune459.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)
0.3b
(/ y (* z 3.0))
4.1b
(/ (/ (/ t z) 3.0) y)

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
253×*-un-lft-identity
248×add-sqr-sqrt
246×add-cube-cbrt
59×associate-/l*
26×div-inv
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
11×cbrt-undiv div-exp
9×add-log-exp
7×associate-/r*
5×fma-def
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×frac-add sum-log associate-/l/ distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log prod-exp flip-- cbrt-unprod flip-+ difference-of-squares
Counts
4 → 336
Calls
4 calls:
134.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
14.0ms
(/ (/ t z) 3.0)
8.0ms
(/ y (* z 3.0))
23.0ms
(/ (/ (/ t z) 3.0) y)

series163.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
20.0ms
(/ (/ t z) 3.0)
26.0ms
(/ y (* z 3.0))
31.0ms
(/ (/ (/ t z) 3.0) y)

simplify59.0ms

Algorithm
egg-herbie
Counts
348 → 348
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013763011
150012838

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ y (* z 3.0))
0.3b
(/ (/ t z) (cbrt 3.0))
0.7b
(/ (/ (/ 1 1) (* (cbrt 3.0) (cbrt 3.0))) (/ y (/ (/ t z) (cbrt 3.0))))
4.0b
(/ y (/ (/ t z) (cbrt 3.0)))

rewrite999.0ms

Algorithm
rewrite-expression-head
Rules
22285×times-frac
7678×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2304×cbrt-prod
939×div-inv
340×associate-/r*
309×add-exp-log
249×div-exp
95×add-cbrt-cube
85×cbrt-undiv
40×1-exp
36×associate-/l*
29×prod-exp
20×associate-/r/
16×rec-exp
9×cbrt-unprod
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/l/
Counts
4 → 5116
Calls
4 calls:
8.0ms
(/ y (* z 3.0))
21.0ms
(/ (/ t z) (cbrt 3.0))
163.0ms
(/ (/ (/ 1 1) (* (cbrt 3.0) (cbrt 3.0))) (/ y (/ (/ t z) (cbrt 3.0))))
25.0ms
(/ y (/ (/ t z) (cbrt 3.0)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ y (* z 3.0))
65.0ms
(/ (/ t z) (cbrt 3.0))
106.0ms
(/ (/ (/ 1 1) (* (cbrt 3.0) (cbrt 3.0))) (/ y (/ (/ t z) (cbrt 3.0))))
96.0ms
(/ y (/ (/ t z) (cbrt 3.0)))

simplify1.1s

Algorithm
egg-herbie
Counts
5128 → 5128
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
07509117795

prune23.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

50.3% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.7b

bsearch89.0ms

Steps
ItersRangePoint
7
5.899922635698028e-18
8.75520329375536e-16
8.835356839411459e-17
7
-1.0335504904565384e+74
-2.5853044057475036e+72
-3.2147543878332805e+72

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04122
14122

end0.0ms

sample745.0ms

Algorithm
intervals
Results
352.0ms11194×body80valid