Details

Time bar (total: 3.6s)

sample19.0ms

Algorithm
intervals
Results
9.0ms265×body80valid

simplify71.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
16.5b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite57.0ms

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:
34.0ms
(* (+ t1 u) (+ t1 u))
21.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (+ t1 u) (+ t1 u))
63.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify58.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0381490
12039406
25001402

prune115.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
0.5b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite97.0ms

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:
14.0ms
(/ (- t1) (+ t1 u))
10.0ms
(/ v (+ t1 u))
65.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (- t1) (+ t1 u))
22.0ms
(/ v (+ t1 u))
107.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05931285
127001201
250021197

prune356.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ (+ t1 u) v)
0.5b
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
1.0b
(/ 1 (/ (+ t1 u) v))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
289×times-frac
248×*-un-lft-identity
185×add-sqr-sqrt
152×add-cube-cbrt
64×add-exp-log
53×associate-*r*
46×associate-*l* distribute-lft-out
34×add-cbrt-cube
30×div-exp
27×distribute-lft-neg-in distribute-rgt-neg-in
23×associate-/r*
17×associate-/l*
14×cbrt-undiv prod-exp
12×div-inv
10×unswap-sqr
9×neg-mul-1
7×pow1
6×rec-exp 1-exp associate-/r/ cbrt-unprod
4×add-log-exp
3×frac-2neg flip3-+ clear-num flip-+
2×distribute-frac-neg associate-/l/
1×distribute-lft-neg-out neg-sub0 frac-times pow-flip div-sub associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 334
Calls
4 calls:
14.0ms
(/ (- t1) (+ t1 u))
17.0ms
(/ (+ t1 u) v)
98.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
16.0ms
(/ 1 (/ (+ t1 u) v))

series223.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (- t1) (+ t1 u))
17.0ms
(/ (+ t1 u) v)
107.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
59.0ms
(/ 1 (/ (+ t1 u) v))

simplify48.0ms

Algorithm
egg-herbie
Counts
346 → 346
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010432586
150012291

prune586.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t1 (+ t1 u))
0.0b
(/ (+ t1 u) v)
0.9b
(/ (/ t1 (+ t1 u)) (/ (+ t1 u) v))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
744×times-frac
541×*-un-lft-identity
309×add-sqr-sqrt add-cube-cbrt
116×distribute-lft-out
39×div-inv
37×associate-/r/
25×associate-/l*
23×associate-/r*
19×add-exp-log flip3-+ add-cbrt-cube flip-+
10×cbrt-undiv div-exp
3×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
3 → 408
Calls
3 calls:
10.0ms
(/ t1 (+ t1 u))
20.0ms
(/ (+ t1 u) v)
35.0ms
(/ (/ t1 (+ t1 u)) (/ (+ t1 u) v))

series164.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ t1 (+ t1 u))
22.0ms
(/ (+ t1 u) v)
107.0ms
(/ (/ t1 (+ t1 u)) (/ (+ t1 u) v))

simplify75.0ms

Algorithm
egg-herbie
Counts
417 → 417
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
015054829
150024627

prune663.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1136
2136

end0.0ms

sample426.0ms

Algorithm
intervals
Results
210.0ms8258×body80valid