Details

Time bar (total: 3.6s)

sample23.0ms

Algorithm
intervals
Results
14.0ms267×body80valid

simplify74.0ms

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
19.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite23.0ms

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:
8.0ms
(* (+ t1 u) (+ t1 u))
11.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
75.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify58.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0381490
12039406
25001402

prune113.0ms

Filtered
76 candidates to 41 candidates (53.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New69776
Fresh000
Picked011
Done000
Total69877

Merged error: 0.0b

Counts
77 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
1.4b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite50.0ms

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))
10.0ms
(/ (- t1) (+ t1 u))
26.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ v (+ t1 u))
44.0ms
(/ (- t1) (+ t1 u))
120.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify62.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05931285
127001201
250021197

prune313.0ms

Filtered
201 candidates to 133 candidates (66.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1956201
Fresh426
Picked101
Done011
Total2009209

Merged error: 0b

Counts
209 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
0.5b
(cbrt v)
0.5b
(cbrt v)
0.5b
(cbrt v)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
46×associate-*l*
45×add-exp-log times-frac
39×add-sqr-sqrt
31×add-cube-cbrt
29×add-cbrt-cube
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp associate-*r*
12×distribute-lft-neg-in cbrt-div distribute-rgt-neg-in
10×associate-/r/ distribute-lft-out
9×cbrt-prod
7×flip3-+ flip-+
6×pow1
5×frac-times
4×neg-mul-1 add-log-exp unswap-sqr
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×distribute-lft-neg-out distribute-frac-neg pow-prod-down *-commutative
Counts
4 → 129
Calls
4 calls:
36.0ms
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
1.0ms
(cbrt v)
1.0ms
(cbrt v)
1.0ms
(cbrt v)

series713.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
178.0ms
(cbrt v)
182.0ms
(cbrt v)
179.0ms
(cbrt v)

simplify88.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07851707
137791350
250011295

prune354.0ms

Filtered
141 candidates to 99 candidates (70.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1410141
Fresh077
Picked011
Done011
Total1419150

Merged error: 0b

Counts
150 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (+ t1 u) t1)
0.6b
(/ -1 (/ (+ t1 u) t1))
1.4b
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
184×*-un-lft-identity
141×add-sqr-sqrt
120×add-cube-cbrt
53×associate-*l*
34×add-exp-log add-cbrt-cube
32×distribute-lft-out
23×associate-/r*
18×associate-*r*
14×cbrt-undiv div-exp
12×div-inv
10×associate-/l*
6×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
4×add-log-exp
3×frac-2neg flip3-+ clear-num flip-+
2×associate-/l/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 249
Calls
4 calls:
5.0ms
(/ v (+ t1 u))
6.0ms
(/ (+ t1 u) t1)
8.0ms
(/ -1 (/ (+ t1 u) t1))
34.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ v (+ t1 u))
22.0ms
(/ (+ t1 u) t1)
40.0ms
(/ -1 (/ (+ t1 u) t1))
126.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify97.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
08411828
139921692
250011603

prune401.0ms

Filtered
261 candidates to 172 candidates (65.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2601261
Fresh336
Picked011
Done022
Total2637270

Merged error: 0b

Counts
270 → 7

regimes104.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01918
12318
23418
33918
44318
54318

end0.0ms

sample431.0ms

Algorithm
intervals
Results
260.0ms8262×body80valid

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