Details

Time bar (total: 3.5s)

sample16.0ms

Algorithm
intervals
Results
8.0ms271×body80valid

simplify85.0ms

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: 17.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.5b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite27.0ms

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:
15.0ms
(* (+ t1 u) (+ t1 u))
9.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
76.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0390509
12114426
25002422

prune135.0ms

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

rewrite63.0ms

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:
7.0ms
(/ (- t1) (+ t1 u))
5.0ms
(/ v (+ t1 u))
41.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (- t1) (+ t1 u))
24.0ms
(/ v (+ t1 u))
119.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06021313
127281228
250021224

prune382.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ 1 (+ t1 u))
0.7b
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
6.5b
(* (- t1) (/ v (+ t1 u)))

rewrite66.0ms

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
(/ v (+ t1 u))
5.0ms
(/ 1 (+ t1 u))
30.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
17.0ms
(* (- t1) (/ v (+ t1 u)))

series182.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ v (+ t1 u))
32.0ms
(/ 1 (+ t1 u))
73.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
48.0ms
(* (- t1) (/ v (+ t1 u)))

simplify76.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05551073
13368922
25001887

prune316.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.1b
(pow (/ (- t1) (+ t1 u)) 3)
1.0b
(* (cbrt (pow (/ (- t1) (+ t1 u)) 3)) (/ v (+ t1 u)))
14.1b
(cbrt (pow (/ (- t1) (+ t1 u)) 3))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
297×*-un-lft-identity
275×times-frac
208×cbrt-prod
200×add-sqr-sqrt
163×add-cube-cbrt
142×unpow-prod-down cube-prod
101×associate-*l*
72×distribute-lft-neg-in distribute-rgt-neg-in
67×distribute-lft-out
24×neg-mul-1
18×associate-*r*
16×associate-/r/
14×add-exp-log unswap-sqr
12×add-cbrt-cube
8×flip3-+ flip-+ div-inv
7×pow1
5×sqr-pow
4×cube-div expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
3×cbrt-undiv cube-mult pow-unpow cbrt-div unpow3 div-exp associate-/l*
2×pow-exp prod-exp cbrt-unprod rem-cube-cbrt
1×frac-times pow-to-exp pow-pow frac-2neg pow1/3 associate-*r/ distribute-frac-neg cube-neg pow-prod-down associate-*l/ clear-num *-commutative rem-cbrt-cube
Counts
4 → 411
Calls
4 calls:
5.0ms
(/ v (+ t1 u))
13.0ms
(pow (/ (- t1) (+ t1 u)) 3)
104.0ms
(* (cbrt (pow (/ (- t1) (+ t1 u)) 3)) (/ v (+ t1 u)))
14.0ms
(cbrt (pow (/ (- t1) (+ t1 u)) 3))

series436.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ v (+ t1 u))
82.0ms
(pow (/ (- t1) (+ t1 u)) 3)
229.0ms
(* (cbrt (pow (/ (- t1) (+ t1 u)) 3)) (/ v (+ t1 u)))
96.0ms
(cbrt (pow (/ (- t1) (+ t1 u)) 3))

simplify57.0ms

Algorithm
egg-herbie
Counts
423 → 423
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010453168
150012911

prune606.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (1.4b 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

sample387.0ms

Algorithm
intervals
Results
224.0ms8255×body80valid