Details

Time bar (total: 3.4s)

sample16.0ms

Algorithm
intervals
Results
7.0ms262×body80valid

simplify72.0ms

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: 19.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
18.7b
(/ (* (- 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×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:
16.0ms
(* (+ t1 u) (+ t1 u))
10.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (+ t1 u) (+ t1 u))
68.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify57.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0381490
12039406
25001402

prune118.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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)))

rewrite64.0ms

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:
7.0ms
(/ (- t1) (+ t1 u))
5.0ms
(/ v (+ t1 u))
44.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series187.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (- t1) (+ t1 u))
28.0ms
(/ v (+ t1 u))
119.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify58.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05931285
127001201
250021197

prune369.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ t1 u))
0.0b
(/ v (+ t1 u))
0.6b
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
7.1b
(* (- t1) (/ v (+ t1 u)))

rewrite68.0ms

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×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
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 → 167
Calls
4 calls:
8.0ms
(/ 1 (+ t1 u))
5.0ms
(/ v (+ t1 u))
31.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
18.0ms
(* (- t1) (/ v (+ t1 u)))

series182.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ 1 (+ t1 u))
23.0ms
(/ v (+ t1 u))
74.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
48.0ms
(* (- t1) (/ v (+ t1 u)))

simplify76.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05461035
13346884
25001849

prune289.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt v)
0.6b
(cbrt v)
0.6b
(* (* (- t1) (/ (* (cbrt v) (cbrt v)) (/ (+ t1 u) (cbrt v)))) (/ 1 (+ t1 u)))
7.1b
(* (- t1) (/ (* (cbrt v) (cbrt v)) (/ (+ t1 u) (cbrt v))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
128×add-exp-log
69×times-frac
60×add-cbrt-cube
59×prod-exp
51×*-un-lft-identity associate-*r*
43×add-sqr-sqrt
42×div-exp
33×add-cube-cbrt cbrt-unprod
24×cbrt-undiv
19×cbrt-prod
11×pow1 associate-*l*
9×distribute-lft-out
6×rec-exp 1-exp
4×associate-*r/ pow-prod-down add-log-exp unswap-sqr
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in associate-/r/ div-inv
2×pow1/3 *-commutative
1×frac-times neg-mul-1 flip3-+ associate-*l/ un-div-inv flip-+
Counts
4 → 160
Calls
4 calls:
0.0ms
(cbrt v)
1.0ms
(cbrt v)
69.0ms
(* (* (- t1) (/ (* (cbrt v) (cbrt v)) (/ (+ t1 u) (cbrt v)))) (/ 1 (+ t1 u)))
36.0ms
(* (- t1) (/ (* (cbrt v) (cbrt v)) (/ (+ t1 u) (cbrt v))))

series529.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt v)
186.0ms
(cbrt v)
93.0ms
(* (* (- t1) (/ (* (cbrt v) (cbrt v)) (/ (+ t1 u) (cbrt v)))) (/ 1 (+ t1 u)))
71.0ms
(* (- t1) (/ (* (cbrt v) (cbrt v)) (/ (+ t1 u) (cbrt v))))

simplify117.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
08741900
149381505
250011499

prune385.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes103.0ms

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

sample389.0ms

Algorithm
intervals
Results
215.0ms8237×body80valid