Details

Time bar (total: 4.2s)

sample24.0ms

Algorithm
intervals
Results
15.0ms265×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
16.4b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite30.0ms

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:
17.0ms
(* (+ t1 u) (+ t1 u))
10.0ms
(/ (* (- 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 (53.0ms)

IterNodesCost
0381490
12039406
25001402

prune119.0ms

Pruning

5 alts after pruning (5 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)))

rewrite69.0ms

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))
8.0ms
(/ (- t1) (+ t1 u))
45.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ v (+ t1 u))
42.0ms
(/ (- t1) (+ t1 u))
116.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify61.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05931285
127001201
250021197

prune379.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
5.8b
(cbrt (/ (- t1) (+ t1 u)))
5.8b
(cbrt (/ (- t1) (+ t1 u)))
5.8b
(cbrt (/ (- t1) (+ t1 u)))

rewrite333.0ms

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:
302.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
8.0ms
(cbrt (/ (- t1) (+ t1 u)))
6.0ms
(cbrt (/ (- t1) (+ t1 u)))
6.0ms
(cbrt (/ (- t1) (+ t1 u)))

series765.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
190.0ms
(cbrt (/ (- t1) (+ t1 u)))
194.0ms
(cbrt (/ (- t1) (+ t1 u)))
194.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify69.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06002688
122462249
250022108

prune559.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ 1 (+ t1 u))
1.1b
(* (* v (/ (- t1) (+ t1 u))) (/ 1 (+ t1 u)))
1.6b
(* v (/ (- t1) (+ t1 u)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity
105×times-frac
76×add-sqr-sqrt
71×add-cube-cbrt
64×associate-*r*
54×add-exp-log
34×add-cbrt-cube
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
22×prod-exp
14×div-exp
13×associate-/l*
12×pow1 cbrt-unprod
9×neg-mul-1
8×cbrt-undiv associate-/r* associate-/r/
4×rec-exp flip3-+ 1-exp associate-*r/ associate-*l* pow-prod-down flip-+ div-inv add-log-exp
3×distribute-frac-neg
2×frac-2neg clear-num *-commutative distribute-rgt-neg-out unswap-sqr
1×distribute-lft-neg-out neg-sub0 frac-times pow-flip div-sub associate-*l/ un-div-inv inv-pow
Counts
4 → 225
Calls
4 calls:
8.0ms
(/ (- t1) (+ t1 u))
6.0ms
(/ 1 (+ t1 u))
39.0ms
(* (* v (/ (- t1) (+ t1 u))) (/ 1 (+ t1 u)))
28.0ms
(* v (/ (- t1) (+ t1 u)))

series163.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (- t1) (+ t1 u))
36.0ms
(/ 1 (+ t1 u))
53.0ms
(* (* v (/ (- t1) (+ t1 u))) (/ 1 (+ t1 u)))
35.0ms
(* v (/ (- t1) (+ t1 u)))

simplify86.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06431428
138121257
250021222

prune370.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1166
2196
3216
4216

end0.0ms

sample548.0ms

Algorithm
intervals
Results
380.0ms8255×body80valid