Details

Time bar (total: 3.5s)

sample23.0ms

Algorithm
intervals
Results
14.0ms260×body80valid

simplify83.0ms

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: 19.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
19.4b
(/ (* (- 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×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:
17.0ms
(* (+ t1 u) (+ t1 u))
10.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (+ t1 u) (+ t1 u))
77.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0390509
12114426
25002422

prune138.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

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:
11.0ms
(/ (- t1) (+ t1 u))
5.0ms
(/ v (+ t1 u))
45.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- t1) (+ t1 u))
24.0ms
(/ v (+ t1 u))
134.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06021313
127281228
250021224

prune396.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
1.1b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
6.3b
(* (- t1) (/ v (+ t1 u)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out frac-2neg associate-*r/ clear-num unswap-sqr
1×neg-mul-1 distribute-frac-neg pow-prod-down *-commutative associate-/l/
Counts
3 → 113
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
11.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
19.0ms
(* (- t1) (/ v (+ t1 u)))

series150.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ v (+ t1 u))
74.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
52.0ms
(* (- t1) (/ v (+ t1 u)))

simplify49.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0392679
12087600
25002600

prune230.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (/ (- t1) (+ t1 u)) (* (cbrt (/ v (+ t1 u))) (cbrt (/ v (+ t1 u))))) (cbrt (/ v (+ t1 u))))
12.0b
(cbrt (/ v (+ t1 u)))
12.0b
(cbrt (/ v (+ t1 u)))
12.0b
(cbrt (/ v (+ t1 u)))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-prod
61×*-un-lft-identity
48×times-frac
37×add-sqr-sqrt add-cube-cbrt
27×cbrt-div
22×add-exp-log
21×associate-*r*
17×frac-times
13×pow1 associate-*l/ add-cbrt-cube
12×distribute-lft-out
11×associate-*r/ prod-exp cbrt-unprod
8×associate-/r/
6×pow-prod-down
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
3×pow1/3
2×cbrt-undiv distribute-lft-neg-out div-exp
1×distribute-frac-neg associate-*l* *-commutative
Counts
4 → 148
Calls
4 calls:
158.0ms
(* (* (/ (- t1) (+ t1 u)) (* (cbrt (/ v (+ t1 u))) (cbrt (/ v (+ t1 u))))) (cbrt (/ v (+ t1 u))))
3.0ms
(cbrt (/ v (+ t1 u)))
3.0ms
(cbrt (/ v (+ t1 u)))
4.0ms
(cbrt (/ v (+ t1 u)))

series470.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (* (/ (- t1) (+ t1 u)) (* (cbrt (/ v (+ t1 u))) (cbrt (/ v (+ t1 u))))) (cbrt (/ v (+ t1 u))))
119.0ms
(cbrt (/ v (+ t1 u)))
113.0ms
(cbrt (/ v (+ t1 u)))
115.0ms
(cbrt (/ v (+ t1 u)))

simplify63.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05291715
123191502
250011422

prune421.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (1.1b remaining)

Error of 1.3b against oracle of 0.2b 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

sample594.0ms

Algorithm
intervals
Results
416.0ms8245×body80valid