Details

Time bar (total: 3.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms259×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.3b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite25.0ms

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:
8.0ms
(* (+ t1 u) (+ t1 u))
14.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (+ t1 u) (+ t1 u))
70.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify59.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0390509
12114426
25002422

prune119.0ms

Filtered
80 candidates to 45 candidates (56.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New76480
Fresh000
Picked011
Done000
Total76581

Merged error: 0.0b

Counts
81 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
68×times-frac
54×add-sqr-sqrt
46×associate-*l*
42×add-cube-cbrt
18×associate-*r*
17×distribute-lft-out
16×add-exp-log add-cbrt-cube
12×distribute-lft-neg-in distribute-rgt-neg-in
6×associate-/r/
5×cbrt-undiv div-exp
4×pow1 neg-mul-1 prod-exp associate-/r* cbrt-unprod unswap-sqr
3×flip3-+ flip-+ div-inv associate-/l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out frac-times frac-2neg associate-*r/ distribute-frac-neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 126
Calls
2 calls:
5.0ms
(/ v (+ t1 u))
26.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ v (+ t1 u))
121.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify53.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0514876
12188803
25001803

prune212.0ms

Filtered
132 candidates to 89 candidates (67.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1284132
Fresh213
Picked011
Done011
Total1307137

Merged error: 0b

Counts
137 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ t1 u))
0.0b
(/ v (+ t1 u))
1.1b
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
8.4b
(* (- t1) (/ v (+ t1 u)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
54×add-exp-log
49×times-frac
46×add-sqr-sqrt
41×add-cube-cbrt
36×associate-*r*
34×add-cbrt-cube
22×prod-exp
14×div-exp distribute-lft-out
12×pow1 cbrt-unprod
11×associate-*l*
8×cbrt-undiv associate-/r* associate-/r/
6×associate-/l*
4×expm1-log1p-u rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down flip-+ log1p-expm1-u div-inv add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
2×frac-2neg clear-num *-commutative unswap-sqr
1×frac-times neg-mul-1 pow-flip associate-*l/ un-div-inv inv-pow
Counts
4 → 175
Calls
4 calls:
5.0ms
(/ 1 (+ t1 u))
5.0ms
(/ v (+ t1 u))
15.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
11.0ms
(* (- t1) (/ v (+ t1 u)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1 (+ t1 u))
24.0ms
(/ v (+ t1 u))
73.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
52.0ms
(* (- t1) (/ v (+ t1 u)))

simplify78.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05551073
13368922
25001887

prune240.0ms

Filtered
187 candidates to 109 candidates (58.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1870187
Fresh044
Picked011
Done022
Total1877194

Merged error: 0b

Counts
194 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ t1 u))
0.5b
(cbrt (+ t1 u))
0.5b
(cbrt (+ t1 u))
1.5b
(* (/ (/ (- t1) (+ t1 u)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ v (cbrt (+ t1 u))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
122×times-frac
77×*-un-lft-identity
72×add-sqr-sqrt
58×associate-*l*
45×add-exp-log add-cube-cbrt
32×add-cbrt-cube
27×cbrt-prod associate-*r*
20×cbrt-div
17×cbrt-undiv div-exp
16×distribute-lft-out
14×prod-exp cbrt-unprod
12×distribute-lft-neg-in distribute-rgt-neg-in associate-/r/
11×flip3-+ flip-+
9×unswap-sqr
6×pow1
5×frac-times
4×expm1-log1p-u neg-mul-1 log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/ div-inv
2×distribute-frac-neg
1×distribute-lft-neg-out pow-prod-down *-commutative
Counts
4 → 177
Calls
4 calls:
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))
51.0ms
(* (/ (/ (- t1) (+ t1 u)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ v (cbrt (+ t1 u))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (+ t1 u))
126.0ms
(cbrt (+ t1 u))
132.0ms
(cbrt (+ t1 u))
154.0ms
(* (/ (/ (- t1) (+ t1 u)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ v (cbrt (+ t1 u))))

simplify109.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
09322221
142511973
250011876

prune404.0ms

Filtered
189 candidates to 143 candidates (75.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1881189
Fresh123
Picked011
Done033
Total1897196

Merged error: 0b

Counts
196 → 7

regimes102.0ms

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

sample379.0ms

Algorithm
intervals
Results
220.0ms8227×body80valid