Details

Time bar (total: 5.1s)

sample17.0ms

Algorithm
intervals
Results
8.0ms264×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: 19.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
19.0b
(/ (* (- 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:
14.0ms
(* (+ t1 u) (+ t1 u))
11.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (+ t1 u) (+ t1 u))
69.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify59.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0390509
12114426
25002422

prune127.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
0.8b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite49.0ms

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:
6.0ms
(/ (- t1) (+ t1 u))
5.0ms
(/ v (+ t1 u))
29.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series182.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (- t1) (+ t1 u))
28.0ms
(/ v (+ t1 u))
115.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06021313
127281228
250021224

prune383.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (+ t1 u) (- t1))
0.2b
(/ 1 (/ (+ t1 u) (- t1)))
0.8b
(* (/ 1 (/ (+ t1 u) (- t1))) (/ v (+ t1 u)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
625×times-frac
478×*-un-lft-identity
331×add-sqr-sqrt
298×add-cube-cbrt
137×associate-*l*
99×distribute-lft-neg-in distribute-rgt-neg-in
88×distribute-lft-out
64×add-exp-log
58×associate-/r*
34×add-cbrt-cube
33×neg-mul-1
30×div-exp
18×associate-*r*
14×cbrt-undiv prod-exp
12×div-inv
10×associate-/l* unswap-sqr
7×pow1
6×rec-exp 1-exp associate-/r/ cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg flip3-+ clear-num flip-+
2×associate-/l/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 506
Calls
4 calls:
5.0ms
(/ v (+ t1 u))
7.0ms
(/ (+ t1 u) (- t1))
13.0ms
(/ 1 (/ (+ t1 u) (- t1)))
60.0ms
(* (/ 1 (/ (+ t1 u) (- t1))) (/ v (+ t1 u)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ v (+ t1 u))
32.0ms
(/ (+ t1 u) (- t1))
43.0ms
(/ 1 (/ (+ t1 u) (- t1)))
118.0ms
(* (/ 1 (/ (+ t1 u) (- t1))) (/ v (+ t1 u)))

simplify74.0ms

Algorithm
egg-herbie
Counts
518 → 518
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014024228
150013793

prune936.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ t1 u) (- t1))
0.3b
(/ (/ v (/ (+ t1 u) (- t1))) (+ t1 u))
1.5b
(/ v (/ (+ t1 u) (- t1)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
2140×times-frac
1552×*-un-lft-identity
874×add-sqr-sqrt add-cube-cbrt
339×distribute-lft-out
243×distribute-lft-neg-in distribute-rgt-neg-in
144×associate-/l*
81×neg-mul-1
58×associate-/r*
27×div-inv
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
8×associate-/r/
3×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
2×flip3-+ flip-+
Counts
3 → 976
Calls
3 calls:
7.0ms
(/ (+ t1 u) (- t1))
44.0ms
(/ (/ v (/ (+ t1 u) (- t1))) (+ t1 u))
13.0ms
(/ v (/ (+ t1 u) (- t1)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (+ t1 u) (- t1))
56.0ms
(/ (/ v (/ (+ t1 u) (- t1))) (+ t1 u))
39.0ms
(/ v (/ (+ t1 u) (- t1)))

simplify149.0ms

Algorithm
egg-herbie
Counts
985 → 985
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
0239712322
1500211922

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (1.1b remaining)

Error of 1.3b against oracle of 0.3b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample399.0ms

Algorithm
intervals
Results
226.0ms8273×body80valid