Details

Time bar (total: 3.8s)

sample25.0ms

Algorithm
intervals
Results
11.0ms350×body80valid

simplify44.0ms

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))

rewrite30.0ms

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:
13.0ms
(+ (- 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))

series190.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
28.0ms
(/ y (* z 3.0))
32.0ms
(* (* z 3.0) y)
30.0ms
(/ t (* (* z 3.0) y))

simplify54.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0405532
12039469
25001469

prune194.0ms

Filtered
93 candidates to 62 candidates (66.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
17.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series563.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt t)
168.0ms
(cbrt t)
172.0ms
(cbrt t)
50.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify83.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0499846
13059651
25002594

prune290.0ms

Filtered
107 candidates to 76 candidates (71.0%)
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)))

rewrite47.0ms

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×frac-times associate-*r/ associate-*l/ add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 98
Calls
4 calls:
15.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
12.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
8.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
9.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

series400.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
120.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
115.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
115.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05581242
130981034
25002951

prune414.0ms

Filtered
110 candidates to 83 candidates (75.5%)
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))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
35×add-cbrt-cube
24×add-sqr-sqrt
20×times-frac
18×*-un-lft-identity div-exp prod-exp
17×add-cube-cbrt
13×associate-*r*
11×cbrt-undiv
10×cbrt-unprod
9×add-log-exp
8×frac-add
7×associate-*l*
6×pow1 associate-/l*
4×flip3-- flip-- div-inv
3×frac-times rec-exp 1-exp associate-*r/ associate-*l/ un-div-inv unswap-sqr
2×associate-+l+ frac-2neg clear-num associate-/r* sum-log
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down *-commutative flip-+
Counts
4 → 119
Calls
4 calls:
8.0ms
(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
4.0ms
(/ y (* z 3.0))
4.0ms
(/ t (* z 3.0))
10.0ms
(* (/ t (* z 3.0)) (/ 1 y))

series144.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
18.0ms
(/ y (* z 3.0))
22.0ms
(/ t (* z 3.0))
28.0ms
(* (/ t (* z 3.0)) (/ 1 y))

simplify73.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0650911
13102801
25002786

prune252.0ms

Filtered
131 candidates to 84 candidates (64.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes139.0ms

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

sample636.0ms

Algorithm
intervals
Results
357.0ms10905×body80valid