Details

Time bar (total: 4.7s)

sample16.0ms

Algorithm
intervals
Results
8.0ms261×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.9b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite36.0ms

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:
23.0ms
(* (+ t1 u) (+ t1 u))
10.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (+ t1 u) (+ t1 u))
69.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify59.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0381490
12039406
25001402

prune125.0ms

Filtered
76 candidates to 41 candidates (53.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
1.5b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite73.0ms

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:
6.0ms
(/ v (+ t1 u))
8.0ms
(/ (- t1) (+ t1 u))
51.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series184.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ v (+ t1 u))
39.0ms
(/ (- t1) (+ t1 u))
121.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify63.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05931285
127001201
250021197

prune378.0ms

Filtered
201 candidates to 133 candidates (66.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
5.3b
(* (/ (- t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity times-frac
76×add-sqr-sqrt associate-*l*
57×add-cube-cbrt
54×cbrt-prod
21×distribute-lft-neg-in distribute-rgt-neg-in
18×associate-*r*
16×add-exp-log distribute-lft-out
14×add-cbrt-cube
8×cbrt-div
7×neg-mul-1
6×pow1 unswap-sqr
5×flip3-+ flip-+
4×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp
3×pow1/3
2×div-inv
1×distribute-lft-neg-out frac-times associate-*r/ distribute-frac-neg pow-prod-down associate-*l/ *-commutative
Counts
4 → 163
Calls
4 calls:
2.0ms
(cbrt (+ t1 u))
2.0ms
(cbrt (+ t1 u))
2.0ms
(cbrt (+ t1 u))
66.0ms
(* (/ (- t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

series662.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(cbrt (+ t1 u))
124.0ms
(cbrt (+ t1 u))
129.0ms
(cbrt (+ t1 u))
284.0ms
(* (/ (- t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

simplify69.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06501339
125751252
250021244

prune516.0ms

Filtered
175 candidates to 138 candidates (78.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
9.3b
(cbrt (/ (- t1) (+ t1 u)))
9.3b
(cbrt (/ (- t1) (+ t1 u)))
9.3b
(cbrt (/ (- t1) (+ t1 u)))

rewrite348.0ms

Algorithm
rewrite-expression-head
Rules
147×*-un-lft-identity
138×cbrt-prod
132×times-frac
81×add-sqr-sqrt add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
33×distribute-lft-out
27×cbrt-div
25×add-exp-log
18×associate-*r*
17×frac-times associate-*l/ add-cbrt-cube
13×pow1
12×neg-mul-1 prod-exp cbrt-unprod
8×associate-/r/
7×associate-*r/
6×pow-prod-down
4×flip3-+ flip-+ div-inv add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative
Counts
4 → 222
Calls
4 calls:
319.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
6.0ms
(cbrt (/ (- t1) (+ t1 u)))
6.0ms
(cbrt (/ (- t1) (+ t1 u)))
6.0ms
(cbrt (/ (- t1) (+ t1 u)))

series774.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
192.0ms
(cbrt (/ (- t1) (+ t1 u)))
200.0ms
(cbrt (/ (- t1) (+ t1 u)))
193.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify68.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06002688
122462249
250022108

prune564.0ms

Filtered
234 candidates to 149 candidates (63.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1166
2236
3236

end0.0ms

sample380.0ms

Algorithm
intervals
Results
218.0ms8251×body80valid