Details

Time bar (total: 2.5s)

sample22.0ms

Algorithm
intervals
Results
8.0ms338×body80valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238714
1350024

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.8b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
6.1b
(/ (* y (- z x)) t)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
44×*-un-lft-identity
42×times-frac
32×add-cube-cbrt
25×associate-*r*
15×associate-*l*
14×associate-/l*
10×add-exp-log add-cbrt-cube
5×pow1 *-commutative distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
4×associate-*r/
3×associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
3 → 113
Calls
3 calls:
6.0ms
(* y (- z x))
15.0ms
(+ x (/ (* y (- z x)) t))
11.0ms
(/ (* y (- z x)) t)

series133.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(* y (- z x))
38.0ms
(+ x (/ (* y (- z x)) t))
54.0ms
(/ (* y (- z x)) t)

simplify54.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0450693
11830648
25001648

prune172.0ms

Filtered
122 candidates to 84 candidates (31.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1175122
Fresh000
Picked011
Done000
Total1176123

Merged error: 0b

Counts
123 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- z x) (/ y t)))
6.4b
(* (- z x) (/ y t))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
23×add-sqr-sqrt
18×frac-times
16×add-cube-cbrt
13×associate-*r*
10×flip3-- times-frac flip-- associate-/l*
9×associate-*r/ associate-/r*
7×add-exp-log associate-*l* add-cbrt-cube
4×pow1 clear-num add-log-exp
3×frac-2neg distribute-lft-out
2×associate-*l/ prod-exp un-div-inv cbrt-unprod distribute-lft-out-- unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv difference-of-squares
Counts
2 → 78
Calls
2 calls:
13.0ms
(+ x (* (- z x) (/ y t)))
14.0ms
(* (- z x) (/ y t))

series89.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ x (* (- z x) (/ y t)))
46.0ms
(* (- z x) (/ y t))

simplify52.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0387503
11941480
25003468

prune130.0ms

Filtered
84 candidates to 54 candidates (35.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh044
Picked011
Done011
Total84690

Merged error: 0b

Counts
90 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- z x) (/ t y)))
7.0b
(/ (- z x) (/ t y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
90×*-un-lft-identity
88×add-sqr-sqrt
60×add-cube-cbrt
16×associate-/r*
14×distribute-lft-out-- difference-of-squares
9×associate-/r/
8×associate-/l*
7×add-exp-log add-cbrt-cube div-inv
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 frac-2neg div-sub clear-num associate-/l/
1×+-commutative associate-+r- flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 122
Calls
2 calls:
25.0ms
(+ x (/ (- z x) (/ t y)))
10.0ms
(/ (- z x) (/ t y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ x (/ (- z x) (/ t y)))
47.0ms
(/ (- z x) (/ t y))

simplify64.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0627978
12387939
25001938

prune206.0ms

Filtered
128 candidates to 90 candidates (29.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh033
Picked011
Done022
Total1286134

Merged error: 0b

Counts
134 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* (* y (- z x)) (/ 1 t)))
6.1b
(* (* y (- z x)) (/ 1 t))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
34×*-un-lft-identity
31×associate-*r/
27×add-exp-log
23×associate-*r* associate-*l*
21×add-cube-cbrt
18×frac-times
17×add-cbrt-cube
13×times-frac prod-exp
11×flip3-- flip-- unswap-sqr
10×pow1 associate-/l*
9×associate-/r*
7×cbrt-unprod
5×add-log-exp
4×div-exp pow-prod-down clear-num
3×frac-2neg un-div-inv *-commutative distribute-lft-out
2×cbrt-undiv distribute-rgt-in sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+ div-inv
Counts
3 → 127
Calls
3 calls:
6.0ms
(* y (- z x))
19.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
18.0ms
(* (* y (- z x)) (/ 1 t))

series135.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* y (- z x))
43.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
52.0ms
(* (* y (- z x)) (/ 1 t))

simplify76.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0587807
13069700
25001669

prune179.0ms

Filtered
136 candidates to 78 candidates (42.6%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1342136
Fresh202
Picked011
Done033
Total1366142

Merged error: 0b

Counts
142 → 6

regimes160.0ms

Accuracy

4% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch76.0ms

Steps
ItersRangePoint
10
4.487730264315627e-125
2.3029284345587177e-112
8.632468561542746e-125
6
-1.434320462880969e-258
-1.2402131673560002e-259
-2.414379101552599e-259

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03013
13213
23213

end0.0ms

sample568.0ms

Algorithm
intervals
Results
290.0ms10601×body80valid