Details

Time bar (total: 2.6s)

sample17.0ms

Algorithm
intervals
Results
8.0ms266×body80valid

simplify80.0ms

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: 20.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
20.4b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite22.0ms

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))
11.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
76.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify62.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0390509
12114426
25002422

prune131.0ms

Filtered
80 candidates to 45 candidates (56.3%)
Pruning

5 alts after pruning (4 fresh and 1 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))
1.0b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite48.0ms

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))
9.0ms
(/ (- t1) (+ t1 u))
24.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ v (+ t1 u))
44.0ms
(/ (- t1) (+ t1 u))
118.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify61.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06021313
127281228
250021224

prune380.0ms

Filtered
207 candidates to 139 candidates (67.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
1.5b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
7.1b
(* (- t1) (/ v (+ t1 u)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out frac-2neg associate-*r/ clear-num unswap-sqr
1×neg-mul-1 distribute-frac-neg pow-prod-down *-commutative associate-/l/
Counts
3 → 113
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
10.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
11.0ms
(* (- t1) (/ v (+ t1 u)))

series145.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ v (+ t1 u))
67.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
50.0ms
(* (- t1) (/ v (+ t1 u)))

simplify49.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0392679
12087600
25002600

prune221.0ms

Filtered
122 candidates to 84 candidates (68.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ t1 u))
0.2b
(* v (/ 1 (+ t1 u)))
1.5b
(/ (* (- t1) (* v (/ 1 (+ t1 u)))) (+ t1 u))
7.1b
(* (- t1) (* v (/ 1 (+ t1 u))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
46×*-un-lft-identity
34×add-sqr-sqrt add-cbrt-cube
30×times-frac
27×add-cube-cbrt
22×prod-exp
19×associate-*r*
14×div-exp
13×associate-*l*
12×pow1 cbrt-unprod
9×distribute-lft-out
8×cbrt-undiv associate-/r*
7×associate-*r/
6×associate-/r/
4×expm1-log1p-u rec-exp 1-exp pow-prod-down log1p-expm1-u associate-/l* add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in flip3-+ un-div-inv flip-+ div-inv unswap-sqr
2×distribute-lft-neg-out frac-2neg clear-num *-commutative associate-/l/
1×neg-mul-1 pow-flip distribute-frac-neg inv-pow
Counts
4 → 152
Calls
4 calls:
5.0ms
(/ 1 (+ t1 u))
10.0ms
(* v (/ 1 (+ t1 u)))
13.0ms
(/ (* (- t1) (* v (/ 1 (+ t1 u)))) (+ t1 u))
14.0ms
(* (- t1) (* v (/ 1 (+ t1 u))))

series184.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1 (+ t1 u))
29.0ms
(* v (/ 1 (+ t1 u)))
75.0ms
(/ (* (- t1) (* v (/ 1 (+ t1 u)))) (+ t1 u))
48.0ms
(* (- t1) (* v (/ 1 (+ t1 u))))

simplify60.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0464899
12448728
25001688

prune257.0ms

Filtered
164 candidates to 98 candidates (59.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes84.0ms

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

sample391.0ms

Algorithm
intervals
Results
228.0ms8244×body80valid