Details

Time bar (total: 3.7s)

sample26.0ms

Algorithm
intervals
Results
18.0ms265×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: 15.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
15.7b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite33.0ms

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:
21.0ms
(* (+ t1 u) (+ t1 u))
9.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (+ t1 u) (+ t1 u))
68.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify58.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0390509
12114426
25002422

prune129.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
1.0b
(* (/ (- 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))
45.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ v (+ t1 u))
39.0ms
(/ (- t1) (+ t1 u))
120.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify63.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
06021313
127281228
250021224

prune381.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ 1 (+ t1 u))
0.2b
(* v (/ 1 (+ t1 u)))
1.0b
(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
128×*-un-lft-identity
106×times-frac
78×add-sqr-sqrt
71×add-cube-cbrt
54×add-exp-log
49×associate-*l*
34×add-cbrt-cube
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
22×prod-exp
19×associate-*r*
14×div-exp
13×associate-/l*
12×pow1 cbrt-unprod
9×neg-mul-1
8×cbrt-undiv associate-/r* associate-/r/
5×associate-*r/
4×expm1-log1p-u rec-exp flip3-+ 1-exp pow-prod-down flip-+ log1p-expm1-u div-inv add-log-exp
3×un-div-inv unswap-sqr
2×frac-times frac-2neg distribute-frac-neg clear-num *-commutative
1×distribute-lft-neg-out neg-sub0 pow-flip div-sub associate-*l/ inv-pow
Counts
4 → 235
Calls
4 calls:
7.0ms
(/ (- t1) (+ t1 u))
5.0ms
(/ 1 (+ t1 u))
15.0ms
(* v (/ 1 (+ t1 u)))
41.0ms
(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (- t1) (+ t1 u))
36.0ms
(/ 1 (+ t1 u))
23.0ms
(* v (/ 1 (+ t1 u)))
121.0ms
(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

simplify67.0ms

Algorithm
egg-herbie
Counts
247 → 247
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06651450
131191282
250011241

prune407.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ t1 u) v)
0.0b
(/ (- t1) (+ t1 u))
0.7b
(/ 1 (/ (+ t1 u) v))
1.0b
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
289×times-frac
248×*-un-lft-identity
185×add-sqr-sqrt
152×add-cube-cbrt
64×add-exp-log
53×associate-*r*
46×associate-*l* distribute-lft-out
34×add-cbrt-cube
30×div-exp
27×distribute-lft-neg-in distribute-rgt-neg-in
23×associate-/r*
17×associate-/l*
14×cbrt-undiv prod-exp
12×div-inv
10×unswap-sqr
9×neg-mul-1
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×distribute-frac-neg associate-/l/
1×distribute-lft-neg-out neg-sub0 frac-times pow-flip div-sub associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 342
Calls
4 calls:
7.0ms
(/ (+ t1 u) v)
7.0ms
(/ (- t1) (+ t1 u))
9.0ms
(/ 1 (/ (+ t1 u) v))
73.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (+ t1 u) v)
44.0ms
(/ (- t1) (+ t1 u))
58.0ms
(/ 1 (/ (+ t1 u) v))
122.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

simplify53.0ms

Algorithm
egg-herbie
Counts
354 → 354
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010542624
150022327

prune636.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1217
2247
3307
4327
5327

end0.0ms

sample693.0ms

Algorithm
intervals
Results
516.0ms8256×body80valid