Details

Time bar (total: 3.6s)

sample18.0ms

Algorithm
intervals
Results
9.0ms264×body80valid

simplify78.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
21.8b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite26.0ms

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:
8.0ms
(* (+ t1 u) (+ t1 u))
16.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (+ t1 u) (+ t1 u))
69.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify61.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0390509
12114426
25002422

prune127.0ms

Filtered
80 candidates to 45 candidates (56.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New73780
Fresh000
Picked101
Done000
Total74781

Merged error: 0.0b

Counts
81 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
1.7b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite44.0ms

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:
5.0ms
(/ v (+ t1 u))
6.0ms
(/ (- t1) (+ t1 u))
24.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series192.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ v (+ t1 u))
40.0ms
(/ (- t1) (+ t1 u))
123.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify63.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06021313
127281228
250021224

prune348.0ms

Filtered
207 candidates to 140 candidates (67.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2025207
Fresh336
Picked011
Done000
Total2059214

Merged error: 0b

Counts
214 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
0.2b
(* v (/ 1 (+ t1 u)))
1.7b
(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
128×*-un-lft-identity
106×times-frac
78×add-sqr-sqrt
71×add-cube-cbrt
54×add-exp-log
49×associate-*l*
34×add-cbrt-cube
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
22×prod-exp
19×associate-*r*
14×div-exp
13×associate-/l*
12×pow1 cbrt-unprod
9×neg-mul-1
8×cbrt-undiv associate-/r* associate-/r/
5×associate-*r/
4×expm1-log1p-u rec-exp flip3-+ 1-exp pow-prod-down flip-+ log1p-expm1-u div-inv add-log-exp
3×un-div-inv unswap-sqr
2×frac-times frac-2neg distribute-frac-neg clear-num *-commutative
1×distribute-lft-neg-out neg-sub0 pow-flip div-sub associate-*l/ inv-pow
Counts
4 → 235
Calls
4 calls:
5.0ms
(/ 1 (+ t1 u))
7.0ms
(/ (- t1) (+ t1 u))
10.0ms
(* v (/ 1 (+ t1 u)))
22.0ms
(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ 1 (+ t1 u))
40.0ms
(/ (- t1) (+ t1 u))
29.0ms
(* v (/ 1 (+ t1 u)))
120.0ms
(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

simplify74.0ms

Algorithm
egg-herbie
Counts
247 → 247
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06651450
131191282
250011241

prune348.0ms

Filtered
247 candidates to 146 candidates (59.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2470247
Fresh077
Picked011
Done011
Total2479256

Merged error: 0b

Counts
256 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ t1 u))
0.5b
(cbrt (+ t1 u))
0.5b
(* (cbrt (+ t1 u)) (cbrt (+ t1 u)))
1.9b
(* (/ (/ (- t1) (+ t1 u)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ v (cbrt (+ t1 u))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
122×times-frac
96×*-un-lft-identity
87×add-sqr-sqrt
65×associate-*l*
52×add-cube-cbrt
47×add-exp-log cbrt-prod
34×associate-*r*
32×add-cbrt-cube
30×cbrt-div
21×distribute-lft-out
17×cbrt-undiv div-exp
16×flip3-+ flip-+
15×prod-exp cbrt-unprod
13×pow1 unswap-sqr
12×distribute-lft-neg-in distribute-rgt-neg-in associate-/r/
9×frac-times swap-sqr
8×pow1/3
5×associate-*r/ associate-*l/
4×expm1-log1p-u neg-mul-1 log1p-expm1-u add-log-exp
3×pow-prod-down div-inv
2×distribute-frac-neg pow-sqr *-commutative pow-prod-up
1×distribute-lft-neg-out pow2 pow-plus
Counts
4 → 216
Calls
4 calls:
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))
10.0ms
(* (cbrt (+ t1 u)) (cbrt (+ t1 u)))
50.0ms
(* (/ (/ (- t1) (+ t1 u)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ v (cbrt (+ t1 u))))

series590.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(cbrt (+ t1 u))
131.0ms
(cbrt (+ t1 u))
168.0ms
(* (cbrt (+ t1 u)) (cbrt (+ t1 u)))
157.0ms
(* (/ (/ (- t1) (+ t1 u)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ v (cbrt (+ t1 u))))

simplify48.0ms

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010352550
150012302

prune499.0ms

Filtered
228 candidates to 165 candidates (72.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2280228
Fresh066
Picked011
Done022
Total2289237

Merged error: 0b

Counts
237 → 9

regimes96.0ms

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

sample456.0ms

Algorithm
intervals
Results
280.0ms8257×body80valid