Details

Time bar (total: 5.4s)

sample16.0ms

Algorithm
intervals
Results
7.0ms264×body80valid

simplify76.0ms

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: 17.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite32.0ms

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:
15.0ms
(* (+ t1 u) (+ t1 u))
14.0ms
(/ (* (- 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)))

simplify58.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0390509
12114426
25002422

prune130.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

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))
40.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ v (+ t1 u))
39.0ms
(/ (- t1) (+ t1 u))
116.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06021313
127281228
250021224

prune389.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) (/ v (+ t1 u))))
8.4b
(cbrt (/ (- t1) (+ t1 u)))
8.4b
(cbrt (/ (- t1) (+ t1 u)))
8.4b
(cbrt (/ (- t1) (+ t1 u)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
138×cbrt-prod
133×*-un-lft-identity
120×times-frac
73×add-sqr-sqrt add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
30×distribute-lft-out
27×cbrt-div
25×add-exp-log
17×frac-times
16×pow1
15×add-cbrt-cube
13×prod-exp cbrt-unprod
12×neg-mul-1
11×associate-*r/ associate-*l/
8×pow-prod-down
6×associate-/r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 flip-+ div-inv
2×cbrt-undiv div-exp
1×associate-*r* associate-*l* *-commutative
Counts
4 → 214
Calls
4 calls:
90.0ms
(* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (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)))

series749.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) (/ v (+ t1 u))))
188.0ms
(cbrt (/ (- t1) (+ t1 u)))
186.0ms
(cbrt (/ (- t1) (+ t1 u)))
188.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify62.0ms

Algorithm
egg-herbie
Counts
226 → 226
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05232449
116352176
250012061

prune547.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ t1 u) v)
0.0b
(/ (- t1) (+ t1 u))
1.4b
(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
2032×times-frac
1457×*-un-lft-identity
805×add-sqr-sqrt add-cube-cbrt
326×distribute-lft-out
219×distribute-lft-neg-in distribute-rgt-neg-in
73×neg-mul-1
67×div-inv
60×associate-/l*
37×associate-/r/
23×associate-/r*
19×add-exp-log flip3-+ add-cbrt-cube flip-+
10×cbrt-undiv div-exp
3×pow1 expm1-log1p-u frac-2neg div-sub distribute-frac-neg clear-num log1p-expm1-u associate-/l/ add-log-exp
2×neg-sub0
Counts
3 → 929
Calls
3 calls:
7.0ms
(/ (+ t1 u) v)
7.0ms
(/ (- t1) (+ t1 u))
37.0ms
(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

series183.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (+ t1 u) v)
44.0ms
(/ (- t1) (+ t1 u))
120.0ms
(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

simplify184.0ms

Algorithm
egg-herbie
Counts
938 → 938
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0294812764
1500212502

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1166
2196
3216
4216

end0.0ms

sample408.0ms

Algorithm
intervals
Results
227.0ms8235×body80valid