Details

Time bar (total: 3.3s)

sample23.0ms

Algorithm
intervals
Results
9.0ms265×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1656
21326
32086
42506
52876
63076
73476
84206
95736
1018836
1150016

prune4.0ms

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: 16.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
16.3b
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt swap-sqr distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
2×add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-plus distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 70
Calls
2 calls:
7.0ms
(* (+ t1 u) (+ t1 u))
10.0ms
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (+ t1 u) (+ t1 u))
21.0ms
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify57.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0381490
12039406
25001402

prune155.0ms

Filtered
76 candidates to 41 candidates (46.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New70676
Fresh000
Picked101
Done000
Total71677

Merged error: 0.0b

Counts
77 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (neg t1) (+ t1 u))
1.6b
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-exp-log add-cbrt-cube
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg distribute-frac-neg clear-num
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 192
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
6.0ms
(/ (neg t1) (+ t1 u))
26.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ v (+ t1 u))
6.0ms
(/ (neg t1) (+ t1 u))
21.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify63.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05931281
126921197
250021197

prune820.0ms

Filtered
201 candidates to 134 candidates (33.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1956201
Fresh325
Picked101
Done000
Total1998207

Merged error: 0b

Counts
207 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.4b
(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
6.7b
(* (neg t1) (/ v (+ t1 u)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in distribute-rgt-neg-in flip3-+ flip-+ div-inv add-log-exp
2×distribute-lft-neg-out frac-2neg associate-*r/ clear-num unswap-sqr
1×neg-mul-1 distribute-frac-neg pow-prod-down *-commutative associate-/l/
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
10.0ms
(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
10.0ms
(* (neg t1) (/ v (+ t1 u)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ v (+ t1 u))
16.0ms
(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
12.0ms
(* (neg t1) (/ v (+ t1 u)))

simplify49.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0385649
12067570
25001570

prune394.0ms

Filtered
116 candidates to 78 candidates (32.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1160116
Fresh077
Picked011
Done000
Total1168124

Merged error: 0b

Counts
124 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt v)
0.6b
(cbrt v)
0.6b
(cbrt v)
1.6b
(* (/ (neg t1) (+ t1 u)) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
46×associate-*l*
45×add-exp-log
40×times-frac
33×add-cbrt-cube
30×add-sqr-sqrt add-cube-cbrt
22×prod-exp cbrt-unprod
13×pow1
12×distribute-lft-neg-in distribute-rgt-neg-in
10×distribute-lft-out
9×cbrt-undiv cbrt-prod div-exp
6×pow-prod-down
4×neg-mul-1 add-log-exp
3×pow1/3 associate-*r/
2×associate-/r/
1×distribute-lft-neg-out frac-times flip3-+ distribute-frac-neg associate-*r* associate-*l/ *-commutative flip-+ div-inv
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt v)
1.0ms
(cbrt v)
1.0ms
(cbrt v)
24.0ms
(* (/ (neg t1) (+ t1 u)) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))

series91.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt v)
24.0ms
(cbrt v)
21.0ms
(cbrt v)
24.0ms
(* (/ (neg t1) (+ t1 u)) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))

simplify62.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05361285
12463918
25002845

prune502.0ms

Filtered
127 candidates to 80 candidates (37.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh066
Picked011
Done011
Total1278135

Merged error: 0b

Counts
135 → 8

regimes209.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1186
2216
3216

end0.0ms

sample540.0ms

Algorithm
intervals
Results
253.0ms8275×body80valid

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