Details

Time bar (total: 4.3s)

sample24.0ms

Algorithm
intervals
Results
11.0ms350×body80valid

simplify50.0ms

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: 4.9b

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))
0.4b
(* (* z 3.0) y)
8.9b
(/ t (* (* z 3.0) y))

rewrite37.0ms

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:
17.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
4.0ms
(/ y (* z 3.0))
5.0ms
(* (* z 3.0) y)
6.0ms
(/ t (* (* z 3.0) y))

series146.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
19.0ms
(/ y (* z 3.0))
20.0ms
(* (* z 3.0) y)
29.0ms
(/ t (* (* z 3.0) y))

simplify71.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0500905
12477746
25001698

prune344.0ms

Filtered
127 candidates to 95 candidates (74.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
3.4b
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
29×add-sqr-sqrt
22×associate-*r*
21×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
6×pow1
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 103
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
16.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series608.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt t)
182.0ms
(cbrt t)
181.0ms
(cbrt t)
57.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify83.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0503876
13066681
25001624

prune361.0ms

Filtered
115 candidates to 84 candidates (73.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
14.9b
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
14.9b
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
14.9b
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
26×add-sqr-sqrt
22×associate-*r*
21×times-frac
18×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
13×cbrt-undiv cbrt-prod div-exp
9×cbrt-div
6×pow1
5×associate-*l*
4×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 106
Calls
4 calls:
19.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
9.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
10.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
9.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

series430.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
129.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
123.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
125.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

simplify88.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
05621320
131051112
250011029

prune468.0ms

Filtered
118 candidates to 91 candidates (77.1%)
Pruning

6 alts after pruning (5 fresh and 1 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)) (/ 1 y)))
0.2b
(/ y (* z 3.0))
0.2b
(/ t (* z 3.0))
5.1b
(* (/ t (* z 3.0)) (/ 1 y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
40×add-sqr-sqrt
35×add-cbrt-cube
34×*-un-lft-identity
31×add-cube-cbrt
29×times-frac
23×associate-+l+
21×prod-diff
18×div-exp prod-exp
13×associate-*r*
11×cbrt-undiv
10×cbrt-unprod
9×add-log-exp
8×frac-add
7×associate-*l* div-inv
6×pow1 associate-/l*
5×fma-def
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×frac-times rec-exp 1-exp associate-*r/ associate-*l/ un-div-inv unswap-sqr
2×frac-2neg clear-num associate-/r* sum-log
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 153
Calls
4 calls:
14.0ms
(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
4.0ms
(/ y (* z 3.0))
4.0ms
(/ t (* z 3.0))
12.0ms
(* (/ t (* z 3.0)) (/ 1 y))

series147.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
19.0ms
(/ y (* z 3.0))
19.0ms
(/ t (* z 3.0))
30.0ms
(* (/ t (* z 3.0)) (/ 1 y))

simplify100.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07511278
135661055
25002990

prune424.0ms

Filtered
165 candidates to 117 candidates (70.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02133
12133

end0.0ms

sample635.0ms

Algorithm
intervals
Results
370.0ms10905×body80valid