Details

Time bar (total: 3.0s)

sample16.0ms

Algorithm
intervals
Results
7.0ms268×body80valid

simplify81.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
18.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite29.0ms

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)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (+ t1 u) (+ t1 u))
78.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify63.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0390509
12114426
25002422

prune136.0ms

Filtered
80 candidates to 45 candidates (56.3%)
Pruning

7 alts after pruning (7 fresh and 0 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))
1.3b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite69.0ms

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:
8.0ms
(/ (- t1) (+ t1 u))
5.0ms
(/ v (+ t1 u))
47.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (- t1) (+ t1 u))
24.0ms
(/ v (+ t1 u))
123.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify64.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06021313
127281228
250021224

prune404.0ms

Filtered
207 candidates to 140 candidates (67.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.3b
(* (pow (/ (- t1) (+ t1 u)) 1) (/ v (+ t1 u)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
126×*-un-lft-identity
110×times-frac
90×add-sqr-sqrt
70×add-cube-cbrt
50×unpow-prod-down associate-*l*
28×distribute-lft-out
27×add-exp-log distribute-lft-neg-in distribute-rgt-neg-in
18×associate-*r*
13×associate-/l*
12×add-cbrt-cube
9×neg-mul-1
8×div-exp prod-exp associate-/r* associate-/r/ unswap-sqr
4×pow1 flip3-+ pow-exp flip-+ div-inv
3×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
2×pow-to-exp frac-2neg clear-num cbrt-unprod
1×neg-sub0 div-sub associate-*r/ distribute-frac-neg pow-prod-down *-commutative
Counts
3 → 205
Calls
3 calls:
7.0ms
(/ (- t1) (+ t1 u))
5.0ms
(/ v (+ t1 u))
78.0ms
(* (pow (/ (- t1) (+ t1 u)) 1) (/ v (+ t1 u)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (- t1) (+ t1 u))
27.0ms
(/ v (+ t1 u))
121.0ms
(* (pow (/ (- t1) (+ t1 u)) 1) (/ v (+ t1 u)))

simplify75.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06571394
128971327
250021317

prune471.0ms

Filtered
214 candidates to 147 candidates (68.7%)
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
(/ (- t1) (+ t1 u))
0.8b
(/ (* v (/ (- t1) (+ t1 u))) (+ t1 u))
2.6b
(* v (/ (- t1) (+ t1 u)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
85×times-frac
60×add-sqr-sqrt
55×add-cube-cbrt
46×associate-*r*
27×distribute-lft-neg-in distribute-rgt-neg-in
23×distribute-lft-out
19×add-exp-log add-cbrt-cube
11×associate-/l*
9×neg-mul-1
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×distribute-frac-neg prod-exp cbrt-unprod
3×expm1-log1p-u flip3-+ associate-*l* flip-+ log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num distribute-rgt-neg-out unswap-sqr
1×neg-sub0 div-sub pow-prod-down *-commutative associate-/l/
Counts
3 → 171
Calls
3 calls:
10.0ms
(/ (- t1) (+ t1 u))
12.0ms
(/ (* v (/ (- t1) (+ t1 u))) (+ t1 u))
25.0ms
(* v (/ (- t1) (+ t1 u)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (- t1) (+ t1 u))
57.0ms
(/ (* v (/ (- t1) (+ t1 u))) (+ t1 u))
32.0ms
(* v (/ (- t1) (+ t1 u)))

simplify59.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04841068
12478975
25002971

prune332.0ms

Filtered
180 candidates to 117 candidates (65.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes79.0ms

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
2236
3236

end0.0ms

sample378.0ms

Algorithm
intervals
Results
215.0ms8258×body80valid