Details

Time bar (total: 3.5s)

sample16.0ms

Algorithm
intervals
Results
7.0ms264×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1656
21326
32086
42506
52876
63076
73476
84206
95736
1018836
1150016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
23.7b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite35.0ms

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×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 → 70
Calls
2 calls:
22.0ms
(* (+ t1 u) (+ t1 u))
10.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (+ t1 u) (+ t1 u))
74.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify59.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0381490
12039406
25001402

prune127.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
0.6b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite68.0ms

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×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 → 192
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
7.0ms
(/ (- t1) (+ t1 u))
47.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series193.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ v (+ t1 u))
46.0ms
(/ (- t1) (+ t1 u))
122.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05931285
127001201
250021197

prune387.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ t1 u))
0.0b
(/ v (+ t1 u))
0.2b
(* (- t1) (/ 1 (+ t1 u)))
0.6b
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
54×add-exp-log
50×times-frac
48×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×rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down flip-+ div-inv add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in un-div-inv unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
1×neg-mul-1 pow-flip inv-pow
Counts
4 → 170
Calls
4 calls:
8.0ms
(/ 1 (+ t1 u))
5.0ms
(/ v (+ t1 u))
19.0ms
(* (- t1) (/ 1 (+ t1 u)))
33.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ 1 (+ t1 u))
25.0ms
(/ v (+ t1 u))
46.0ms
(* (- t1) (/ 1 (+ t1 u)))
125.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

simplify71.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05561028
13072856
25002822

prune303.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (* (cbrt (* (- t1) (/ 1 (+ t1 u)))) (cbrt (* (- t1) (/ 1 (+ t1 u))))) (cbrt (* (- t1) (/ 1 (+ t1 u))))) (/ v (+ t1 u)))
4.8b
(cbrt (* (- t1) (/ 1 (+ t1 u))))
4.8b
(cbrt (* (- t1) (/ 1 (+ t1 u))))
4.8b
(cbrt (* (- t1) (/ 1 (+ t1 u))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
82×frac-times
74×associate-*r/
57×un-div-inv
54×associate-*l/
25×add-exp-log
18×*-un-lft-identity associate-*r*
17×add-cbrt-cube
13×pow1
12×add-sqr-sqrt add-cube-cbrt times-frac prod-exp cbrt-unprod
6×pow-prod-down
4×add-log-exp
3×cbrt-undiv cbrt-prod pow1/3 div-exp distribute-lft-out
2×associate-/r/
1×flip3-+ associate-*l* *-commutative flip-+ div-inv
Counts
4 → 128
Calls
4 calls:
75.0ms
(* (* (* (cbrt (* (- t1) (/ 1 (+ t1 u)))) (cbrt (* (- t1) (/ 1 (+ t1 u))))) (cbrt (* (- t1) (/ 1 (+ t1 u))))) (/ v (+ t1 u)))
6.0ms
(cbrt (* (- t1) (/ 1 (+ t1 u))))
6.0ms
(cbrt (* (- t1) (/ 1 (+ t1 u))))
6.0ms
(cbrt (* (- t1) (/ 1 (+ t1 u))))

series814.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (* (* (cbrt (* (- t1) (/ 1 (+ t1 u)))) (cbrt (* (- t1) (/ 1 (+ t1 u))))) (cbrt (* (- t1) (/ 1 (+ t1 u))))) (/ v (+ t1 u)))
203.0ms
(cbrt (* (- t1) (/ 1 (+ t1 u))))
205.0ms
(cbrt (* (- t1) (/ 1 (+ t1 u))))
202.0ms
(cbrt (* (- t1) (/ 1 (+ t1 u))))

simplify69.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06172145
122151582
250021381

prune227.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1257
2317
3337
4337

end0.0ms

sample390.0ms

Algorithm
intervals
Results
219.0ms8249×body80valid