Details

Time bar (total: 5.1s)

sample22.0ms

Algorithm
intervals
Results
13.0ms262×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1676
21456
32416
43016
53556
63966
74446
85296
97446
1022186
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))
16.5b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite33.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 74
Calls
2 calls:
16.0ms
(* (+ t1 u) (+ t1 u))
14.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
75.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0390509
12114426
25002422

prune131.0ms

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))
1.0b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite66.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 198
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
7.0ms
(/ (- t1) (+ t1 u))
45.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series194.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ v (+ t1 u))
41.0ms
(/ (- t1) (+ t1 u))
125.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify62.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06021313
127281228
250021224

prune388.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (- t1) (+ t1 u))) (/ v (+ t1 u)))
8.2b
(cbrt (/ (- t1) (+ t1 u)))
8.2b
(cbrt (/ (- t1) (+ t1 u)))
8.2b
(cbrt (/ (- t1) (+ t1 u)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
191×*-un-lft-identity
188×cbrt-prod
177×times-frac
122×add-sqr-sqrt
105×add-cube-cbrt
49×associate-*l*
48×distribute-lft-neg-in distribute-rgt-neg-in
43×distribute-lft-out
18×associate-*r*
16×neg-mul-1
10×associate-/r/
9×add-exp-log
7×add-cbrt-cube
6×pow1 unswap-sqr
5×cbrt-div flip3-+ flip-+ div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 262
Calls
4 calls:
50.0ms
(* (cbrt (/ (- t1) (+ t1 u))) (/ v (+ t1 u)))
5.0ms
(cbrt (/ (- t1) (+ t1 u)))
5.0ms
(cbrt (/ (- t1) (+ t1 u)))
5.0ms
(cbrt (/ (- t1) (+ t1 u)))

series830.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(* (cbrt (/ (- t1) (+ t1 u))) (/ v (+ t1 u)))
192.0ms
(cbrt (/ (- t1) (+ t1 u)))
191.0ms
(cbrt (/ (- t1) (+ t1 u)))
195.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify113.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
05622409
115252357
246972332
350022332

prune756.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t1)
2.3b
(cbrt (/ (* (cbrt t1) (cbrt t1)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
8.2b
(cbrt (/ (- t1) (+ t1 u)))
8.2b
(cbrt (/ (- t1) (+ t1 u)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
108×cbrt-prod
92×*-un-lft-identity
81×times-frac
52×add-sqr-sqrt add-cube-cbrt
24×distribute-lft-neg-in distribute-rgt-neg-in
20×distribute-lft-out
15×cbrt-div
12×associate-/r/
8×neg-mul-1 flip3-+ flip-+
4×pow1 add-exp-log expm1-log1p-u frac-times pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×div-inv
2×associate-*r/ associate-*l/
Counts
4 → 151
Calls
4 calls:
0.0ms
(cbrt t1)
10.0ms
(cbrt (/ (* (cbrt t1) (cbrt t1)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
5.0ms
(cbrt (/ (- t1) (+ t1 u)))
5.0ms
(cbrt (/ (- t1) (+ t1 u)))

series732.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt t1)
149.0ms
(cbrt (/ (* (cbrt t1) (cbrt t1)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
197.0ms
(cbrt (/ (- t1) (+ t1 u)))
202.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify74.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
03741499
19071456
228971433
350031421

prune680.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes86.0ms

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 (1.0ms)

IterNodesCost
0126
1166
2196
3216
4216

end0.0ms

sample567.0ms

Algorithm
intervals
Results
395.0ms8276×body80valid