Details

Time bar (total: 3.8s)

sample22.0ms

Algorithm
intervals
Results
9.0ms266×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

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: 16.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
16.6b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite21.0ms

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)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
72.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify59.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0381490
12039406
25001402

prune117.0ms

Filtered
76 candidates to 41 candidates (53.9%)
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
(/ (- t1) (+ t1 u))
1.7b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite48.0ms

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
(/ (- t1) (+ t1 u))
28.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ v (+ t1 u))
42.0ms
(/ (- t1) (+ t1 u))
115.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify63.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05931285
127001201
250021197

prune310.0ms

Filtered
201 candidates to 134 candidates (66.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1956201
Fresh235
Picked011
Done000
Total19710207

Merged error: 0b

Counts
207 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (+ t1 u)) (cbrt (+ t1 u)))
0.6b
(cbrt v)
0.6b
(cbrt v)
0.6b
(cbrt v)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-prod
29×*-un-lft-identity
23×add-sqr-sqrt
15×add-cube-cbrt
12×cbrt-div
11×pow1
9×pow1/3 swap-sqr
7×associate-*r* associate-*l*
6×add-exp-log flip3-+ flip-+ distribute-lft-out
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
10.0ms
(* (cbrt (+ t1 u)) (cbrt (+ t1 u)))
1.0ms
(cbrt v)
1.0ms
(cbrt v)
1.0ms
(cbrt v)

series696.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (cbrt (+ t1 u)) (cbrt (+ t1 u)))
176.0ms
(cbrt v)
185.0ms
(cbrt v)
174.0ms
(cbrt v)

simplify112.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0223527
1764496
23514449
35001445

prune238.0ms

Filtered
98 candidates to 69 candidates (70.4%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh088
Picked011
Done011
Total9810108

Merged error: 0b

Counts
108 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.8b
(* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
67×times-frac
62×cbrt-prod
60×*-un-lft-identity
48×associate-*l*
42×add-cube-cbrt
18×associate-*r*
16×add-exp-log
12×add-cbrt-cube
10×unswap-sqr
9×distribute-lft-out
6×pow1
4×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp
3×pow1/3
2×cbrt-div flip3-+ flip-+ div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 129
Calls
4 calls:
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
26.0ms
(* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

series669.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt t1)
177.0ms
(cbrt t1)
169.0ms
(cbrt t1)
150.0ms
(* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

simplify50.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04971069
118681005
25002998

prune377.0ms

Filtered
141 candidates to 114 candidates (80.9%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1410141
Fresh077
Picked011
Done022
Total14110151

Merged error: 0b

Counts
151 → 10

regimes104.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01918
12318
23418
33918
44318
54318

end0.0ms

sample423.0ms

Algorithm
intervals
Results
252.0ms8251×body80valid