Details

Time bar (total: 4.5s)

sample48.0ms

Algorithm
intervals
Results
30.0ms345×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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize13.0ms

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)
0.2b
(/ y (* z 3.0))
5.8b
(/ t (* (* z 3.0) y))

rewrite64.0ms

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)))
7.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
8.0ms
(/ t (* (* z 3.0) y))

series152.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
20.0ms
(* (* z 3.0) y)
20.0ms
(/ y (* z 3.0))
33.0ms
(/ t (* (* z 3.0) y))

simplify70.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0500905
12477746
25001698

prune344.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

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))
0.3b
(/ t (* z 3.0))
3.8b
(/ (/ 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:
47.0ms
(+ (- 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)

series146.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
18.0ms
(/ y (* z 3.0))
19.0ms
(/ t (* z 3.0))
32.0ms
(/ (/ t (* z 3.0)) y)

simplify68.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05771093
12337935
25001887

prune449.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
0.2b
(* 0.3333333333333333 (/ t z))
0.2b
(/ y (* z 3.0))
3.8b
(/ (* 0.3333333333333333 (/ t z)) y)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
25×times-frac
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
13×associate-*r*
9×add-log-exp
7×cbrt-undiv div-exp
6×pow1 div-inv
5×fma-def prod-exp cbrt-unprod
4×expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
3×associate-*l*
2×frac-2neg associate-*r/ frac-add clear-num sum-log distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log pow-prod-down *-commutative flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 130
Calls
4 calls:
43.0ms
(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
7.0ms
(* 0.3333333333333333 (/ t z))
3.0ms
(/ y (* z 3.0))
5.0ms
(/ (* 0.3333333333333333 (/ t z)) y)

series147.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
18.0ms
(* 0.3333333333333333 (/ t z))
22.0ms
(/ y (* z 3.0))
29.0ms
(/ (* 0.3333333333333333 (/ t z)) y)

simplify74.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0589960
12606803
25001749

prune410.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (* (cbrt (/ t (* z 3.0))) (cbrt (/ t (* z 3.0)))) (/ y (cbrt (/ t (* z 3.0)))))
10.6b
(cbrt (/ t (* z 3.0)))
10.6b
(cbrt (/ t (* z 3.0)))
10.6b
(cbrt (/ t (* z 3.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
122×times-frac
63×cbrt-prod
50×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
35×associate-/r*
16×add-exp-log
12×div-inv
10×add-cbrt-cube
9×cbrt-div
6×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r/ associate-/l/
2×prod-exp cbrt-unprod
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/l*
Counts
4 → 149
Calls
4 calls:
15.0ms
(/ (* (cbrt (/ t (* z 3.0))) (cbrt (/ t (* z 3.0)))) (/ y (cbrt (/ t (* z 3.0)))))
2.0ms
(cbrt (/ t (* z 3.0)))
2.0ms
(cbrt (/ t (* z 3.0)))
2.0ms
(cbrt (/ t (* z 3.0)))

series387.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ (* (cbrt (/ t (* z 3.0))) (cbrt (/ t (* z 3.0)))) (/ y (cbrt (/ t (* z 3.0)))))
94.0ms
(cbrt (/ t (* z 3.0)))
93.0ms
(cbrt (/ t (* z 3.0)))
95.0ms
(cbrt (/ t (* z 3.0)))

simplify69.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05731844
125631735
250011675

prune612.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes194.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167
1167

end0.0ms

sample1.1s

Algorithm
intervals
Results
741.0ms11250×body80valid