Details

Time bar (total: 3.1s)

sample15.0ms

Algorithm
intervals
Results
7.0ms259×body80valid

simplify72.0ms

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: 17.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.2b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite22.0ms

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)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
74.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify58.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0381490
12039406
25001402

prune116.0ms

Pruning

3 alts after pruning (3 fresh and 0 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))
1.3b
(* (/ (- 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)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ v (+ t1 u))
43.0ms
(/ (- t1) (+ t1 u))
116.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify59.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05931285
127001201
250021197

prune376.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ t1 u) t1)
0.0b
(/ v (+ t1 u))
0.3b
(/ -1 (/ (+ t1 u) t1))
1.3b
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite59.0ms

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
(/ (+ t1 u) t1)
5.0ms
(/ v (+ t1 u))
8.0ms
(/ -1 (/ (+ t1 u) t1))
28.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (+ t1 u) t1)
27.0ms
(/ v (+ t1 u))
39.0ms
(/ -1 (/ (+ t1 u) t1))
121.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify105.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
08411815
142521692
250011603

prune479.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
0.2b
(* v (/ 1 (+ t1 u)))
1.3b
(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
128×*-un-lft-identity
106×times-frac
78×add-sqr-sqrt
71×add-cube-cbrt
54×add-exp-log
49×associate-*l*
34×add-cbrt-cube
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
22×prod-exp
19×associate-*r*
14×div-exp
13×associate-/l*
12×pow1 cbrt-unprod
9×neg-mul-1
8×cbrt-undiv associate-/r* associate-/r/
5×associate-*r/
4×rec-exp flip3-+ 1-exp pow-prod-down flip-+ div-inv add-log-exp
3×un-div-inv unswap-sqr
2×frac-times frac-2neg distribute-frac-neg clear-num *-commutative
1×distribute-lft-neg-out neg-sub0 pow-flip div-sub associate-*l/ inv-pow
Counts
4 → 227
Calls
4 calls:
5.0ms
(/ 1 (+ t1 u))
6.0ms
(/ (- t1) (+ t1 u))
10.0ms
(* v (/ 1 (+ t1 u)))
21.0ms
(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

series220.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ 1 (+ t1 u))
39.0ms
(/ (- t1) (+ t1 u))
23.0ms
(* v (/ 1 (+ t1 u)))
122.0ms
(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

simplify69.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06541412
130891245
250011204

prune393.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1217
2247
3307
4327
5327

end0.0ms

sample383.0ms

Algorithm
intervals
Results
221.0ms8245×body80valid