Details

Time bar (total: 3.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms268×body80valid

simplify78.0ms

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: 19.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
18.9b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite58.0ms

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:
34.0ms
(* (+ t1 u) (+ t1 u))
21.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(* (+ t1 u) (+ t1 u))
69.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0390509
12114426
25002422

prune121.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
1.0b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
107×*-un-lft-identity
96×times-frac
71×add-sqr-sqrt
59×add-cube-cbrt
46×associate-*l*
27×distribute-lft-neg-in distribute-rgt-neg-in
24×distribute-lft-out
18×associate-*r*
16×add-exp-log add-cbrt-cube
10×associate-/l*
9×neg-mul-1
6×associate-/r/
5×cbrt-undiv div-exp
4×pow1 prod-exp associate-/r* cbrt-unprod unswap-sqr
3×flip3-+ flip-+ div-inv
2×expm1-log1p-u distribute-frac-neg log1p-expm1-u add-log-exp
1×distribute-lft-neg-out neg-sub0 frac-times frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 163
Calls
2 calls:
15.0ms
(/ (- t1) (+ t1 u))
65.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (- t1) (+ t1 u))
110.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify56.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05871153
125841078
250011074

prune298.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ t1 u))
0.5b
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
7.3b
(* (- t1) (/ v (+ t1 u)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log *-un-lft-identity
37×times-frac
36×add-sqr-sqrt associate-*r*
31×add-cube-cbrt add-cbrt-cube
22×prod-exp
13×div-exp
12×cbrt-unprod
11×pow1 associate-*l*
10×distribute-lft-out
7×cbrt-undiv
6×associate-/r/
4×rec-exp 1-exp associate-*r/ pow-prod-down associate-/r*
3×distribute-lft-neg-out distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in flip3-+ flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times neg-mul-1 pow-flip frac-2neg associate-*l/ clear-num un-div-inv inv-pow
Counts
3 → 140
Calls
3 calls:
12.0ms
(/ 1 (+ t1 u))
61.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
30.0ms
(* (- t1) (/ v (+ t1 u)))

series144.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ 1 (+ t1 u))
70.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
45.0ms
(* (- t1) (/ v (+ t1 u)))

simplify73.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0540913
13264772
25001737

prune227.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t1))
0.5b
(cbrt (- t1))
0.6b
(* (cbrt (- t1)) (cbrt (- t1)))
1.0b
(* (* (* (cbrt (- t1)) (cbrt (- t1))) (/ (cbrt (- t1)) (+ t1 u))) (/ v (+ t1 u)))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
68×cbrt-prod
47×add-exp-log
44×*-un-lft-identity
42×add-sqr-sqrt
34×add-cube-cbrt
33×add-cbrt-cube
31×associate-*r*
23×prod-exp cbrt-unprod
20×pow1 distribute-rgt-neg-in
18×distribute-lft-neg-in
15×swap-sqr
14×associate-*l*
12×times-frac
9×cbrt-undiv div-exp
8×pow1/3 pow-prod-down
6×neg-mul-1
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ distribute-lft-out
2×associate-/r/ pow-sqr *-commutative pow-prod-up
1×pow2 frac-times flip3-+ pow-plus associate-*l/ flip-+ div-inv
Counts
4 → 160
Calls
4 calls:
2.0ms
(cbrt (- t1))
2.0ms
(cbrt (- t1))
20.0ms
(* (cbrt (- t1)) (cbrt (- t1)))
167.0ms
(* (* (* (cbrt (- t1)) (cbrt (- t1))) (/ (cbrt (- t1)) (+ t1 u))) (/ v (+ t1 u)))

series741.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt (- t1))
186.0ms
(cbrt (- t1))
214.0ms
(* (cbrt (- t1)) (cbrt (- t1)))
158.0ms
(* (* (* (cbrt (- t1)) (cbrt (- t1))) (/ (cbrt (- t1)) (+ t1 u))) (/ v (+ t1 u)))

simplify92.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
05361592
130641207
250031099

prune367.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (1.3b 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 (0.0ms)

IterNodesCost
0126
1166
2196
3216
4216

end0.0ms

sample438.0ms

Algorithm
intervals
Results
209.0ms8251×body80valid