Details

Time bar (total: 4.5s)

sample22.0ms

Algorithm
intervals
Results
13.0ms265×body80valid

simplify77.0ms

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

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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))
9.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
73.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify58.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0390509
12114426
25002422

prune127.0ms

Pruning

5 alts after pruning (5 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))
1.3b
(* (/ (- 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))
43.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series187.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ v (+ t1 u))
44.0ms
(/ (- t1) (+ t1 u))
118.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06021313
127281228
250021224

prune380.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

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)))

rewrite307.0ms

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×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative
Counts
4 → 230
Calls
4 calls:
280.0ms
(* (* (* (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)))
6.0ms
(cbrt (/ (- t1) (+ t1 u)))

series766.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
189.0ms
(cbrt (/ (- t1) (+ t1 u)))
189.0ms
(cbrt (/ (- t1) (+ t1 u)))
196.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify76.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06072754
122732315
250012171

prune584.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
135×*-un-lft-identity
134×add-exp-log
120×times-frac
94×add-sqr-sqrt
77×add-cube-cbrt
61×add-cbrt-cube
58×prod-exp
52×div-exp
47×associate-*l*
31×associate-*r*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
22×cbrt-unprod
19×cbrt-undiv
18×1-exp
13×associate-/l*
12×pow1
9×neg-mul-1
8×rec-exp associate-/r* associate-/r/
6×frac-times associate-*l/ unswap-sqr
5×div-inv
4×expm1-log1p-u flip3-+ associate-*r/ pow-prod-down flip-+ log1p-expm1-u add-log-exp
3×distribute-lft-neg-out distribute-frac-neg
2×frac-2neg clear-num *-commutative
1×neg-sub0 pow-flip div-sub un-div-inv inv-pow
Counts
4 → 279
Calls
4 calls:
7.0ms
(/ (- t1) (+ t1 u))
5.0ms
(/ 1 (+ t1 u))
43.0ms
(* (* (/ (- t1) (+ t1 u)) (/ v 1)) (/ 1 (+ t1 u)))
36.0ms
(* (/ (- t1) (+ t1 u)) (/ v 1))

series278.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (- t1) (+ t1 u))
33.0ms
(/ 1 (+ t1 u))
122.0ms
(* (* (/ (- t1) (+ t1 u)) (/ v 1)) (/ 1 (+ t1 u)))
78.0ms
(* (/ (- t1) (+ t1 u)) (/ v 1))

simplify97.0ms

Algorithm
egg-herbie
Counts
291 → 291
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09801929
149021627
250011627

prune477.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes77.0ms

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

sample559.0ms

Algorithm
intervals
Results
385.0ms8255×body80valid