Details

Time bar (total: 3.2s)

sample15.0ms

Algorithm
intervals
Results
6.0ms261×body80valid

simplify79.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
14.9b
(/ (* (- 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×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:
19.0ms
(* (+ t1 u) (+ t1 u))
9.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
73.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0390509
12114426
25002422

prune132.0ms

Filtered
80 candidates to 45 candidates (56.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.6b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite67.0ms

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))
43.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (- t1) (+ t1 u))
24.0ms
(/ v (+ t1 u))
114.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify61.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06021313
127281228
250021224

prune379.0ms

Filtered
207 candidates to 140 candidates (67.6%)
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 (+ t1 u))
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
1.8b
(* (/ (/ (- t1) (+ t1 u)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ v (cbrt (+ t1 u))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
122×times-frac
77×*-un-lft-identity
72×add-sqr-sqrt
58×associate-*l*
45×add-exp-log add-cube-cbrt
32×add-cbrt-cube
27×cbrt-prod associate-*r*
20×cbrt-div
17×cbrt-undiv div-exp
16×distribute-lft-out
14×prod-exp cbrt-unprod
12×distribute-lft-neg-in distribute-rgt-neg-in associate-/r/
11×flip3-+ flip-+
9×unswap-sqr
6×pow1
5×frac-times
4×expm1-log1p-u neg-mul-1 log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/ div-inv
2×distribute-frac-neg
1×distribute-lft-neg-out pow-prod-down *-commutative
Counts
4 → 177
Calls
4 calls:
2.0ms
(cbrt (+ t1 u))
2.0ms
(cbrt (+ t1 u))
2.0ms
(cbrt (+ t1 u))
97.0ms
(* (/ (/ (- t1) (+ t1 u)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ v (cbrt (+ t1 u))))

series516.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (+ t1 u))
121.0ms
(cbrt (+ t1 u))
126.0ms
(cbrt (+ t1 u))
148.0ms
(* (/ (/ (- t1) (+ t1 u)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ v (cbrt (+ t1 u))))

simplify105.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09322221
142511973
250011876

prune476.0ms

Filtered
189 candidates to 143 candidates (75.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ (* (- t1) v) (+ t1 u)) (+ t1 u))
8.2b
(/ (* (- t1) v) (+ t1 u))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
61×*-un-lft-identity
25×add-sqr-sqrt add-cube-cbrt
18×distribute-lft-out
16×add-exp-log add-cbrt-cube
14×associate-/r/
11×associate-/l*
8×associate-/r*
7×cbrt-undiv flip3-+ div-exp flip-+ div-inv
3×distribute-frac-neg
2×pow1 distribute-lft-neg-out expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 104
Calls
2 calls:
15.0ms
(/ (/ (* (- t1) v) (+ t1 u)) (+ t1 u))
9.0ms
(/ (* (- t1) v) (+ t1 u))

series117.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (/ (* (- t1) v) (+ t1 u)) (+ t1 u))
47.0ms
(/ (* (- t1) v) (+ t1 u))

simplify49.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0394929
11953845
25002838

prune184.0ms

Filtered
110 candidates to 71 candidates (64.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (1.3b 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

sample381.0ms

Algorithm
intervals
Results
217.0ms8286×body80valid