Details

Time bar (total: 3.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms262×body80valid

simplify73.0ms

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: 17.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.1b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite32.0ms

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

series90.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (+ t1 u) (+ t1 u))
71.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify57.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0381490
12039406
25001402

prune131.0ms

Pruning

8 alts after pruning (8 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))
2.5b
(* (/ (- 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:
5.0ms
(/ v (+ t1 u))
7.0ms
(/ (- t1) (+ t1 u))
44.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series192.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ v (+ t1 u))
41.0ms
(/ (- t1) (+ t1 u))
126.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify63.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05931285
127001201
250021197

prune385.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
9.3b
(cbrt (/ (- t1) (+ t1 u)))
9.3b
(cbrt (/ (- t1) (+ t1 u)))
9.3b
(cbrt (/ (- t1) (+ t1 u)))

rewrite302.0ms

Algorithm
rewrite-expression-head
Rules
147×*-un-lft-identity
138×cbrt-prod
132×times-frac
81×add-sqr-sqrt add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
33×distribute-lft-out
27×cbrt-div
25×add-exp-log
18×associate-*r*
17×frac-times associate-*l/ add-cbrt-cube
13×pow1
12×neg-mul-1 prod-exp cbrt-unprod
8×associate-/r/
7×associate-*r/
6×pow-prod-down
4×flip3-+ flip-+ div-inv add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative
Counts
4 → 222
Calls
4 calls:
276.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
5.0ms
(cbrt (/ (- t1) (+ t1 u)))
5.0ms
(cbrt (/ (- t1) (+ t1 u)))
5.0ms
(cbrt (/ (- t1) (+ t1 u)))

series786.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
195.0ms
(cbrt (/ (- t1) (+ t1 u)))
196.0ms
(cbrt (/ (- t1) (+ t1 u)))
196.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify69.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06002688
122462249
250022108

prune582.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.5b
(/ (* v (/ (- t1) (+ t1 u))) (+ t1 u))
2.4b
(* v (/ (- t1) (+ t1 u)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
85×times-frac
60×add-sqr-sqrt
55×add-cube-cbrt
46×associate-*r*
27×distribute-lft-neg-in distribute-rgt-neg-in
23×distribute-lft-out
19×add-exp-log add-cbrt-cube
11×associate-/l*
9×neg-mul-1
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×distribute-frac-neg prod-exp cbrt-unprod
3×flip3-+ associate-*l* flip-+ div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num distribute-rgt-neg-out unswap-sqr
1×neg-sub0 div-sub pow-prod-down *-commutative associate-/l/
Counts
3 → 165
Calls
3 calls:
7.0ms
(/ (- t1) (+ t1 u))
15.0ms
(/ (* v (/ (- t1) (+ t1 u))) (+ t1 u))
23.0ms
(* v (/ (- t1) (+ t1 u)))

series133.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (- t1) (+ t1 u))
59.0ms
(/ (* v (/ (- t1) (+ t1 u))) (+ t1 u))
32.0ms
(* v (/ (- t1) (+ t1 u)))

simplify61.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04771036
12458943
25001939

prune303.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes89.0ms

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
2236
3236

end0.0ms

sample395.0ms

Algorithm
intervals
Results
224.0ms8260×body80valid