Details

Time bar (total: 9.3s)

sample279.0ms

Algorithm
halfpoints

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31217
42067
54377
610477
720077
850017

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 45.2b

Counts
2 → 1

localize37.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (neg x))) 2.0) (sin y))
58.2b
(- (exp x) (exp (neg x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
19×associate-*l*
16×times-frac
12×add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
2 → 52
Calls
2 calls:
10.0ms
(* (/ (- (exp x) (exp (neg x))) 2.0) (sin y))
5.0ms
(- (exp x) (exp (neg x)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (/ (- (exp x) (exp (neg x))) 2.0) (sin y))
36.0ms
(- (exp x) (exp (neg x)))

simplify106.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0293506
1893447
23877446
35001446

prune165.0ms

Filtered
58 candidates to 44 candidates (75.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New55358
Fresh000
Picked101
Done000
Total56359

Merged error: 0.1b

Counts
59 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.1b
(* 1/60 (pow x 5))
0.1b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
0.1b
(* 1/3 (pow x 3))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
22×associate-*r*
19×add-exp-log add-cube-cbrt *-un-lft-identity associate-*l*
13×add-cbrt-cube
10×times-frac
9×add-log-exp unswap-sqr
8×unpow-prod-down prod-exp
6×pow1
4×cube-prod cbrt-unprod sqr-pow
3×sum-log *-commutative
2×pow-to-exp pow-exp
1×cbrt-undiv +-commutative cube-mult associate-+r+ flip3-+ unpow3 div-exp pow-prod-down associate-*l/ flip-+ div-inv
Counts
4 → 101
Calls
4 calls:
8.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms
(* 1/60 (pow x 5))
12.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
6.0ms
(* 1/3 (pow x 3))

series237.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
48.0ms
(* 1/60 (pow x 5))
90.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
40.0ms
(* 1/3 (pow x 3))

simplify61.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0465830
11991734
25002734

prune320.0ms

Filtered
113 candidates to 76 candidates (67.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1049113
Fresh022
Picked101
Done000
Total10511116

Merged error: 0.0b

Counts
116 → 11

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 1/60 (pow x 5))
0.1b
(* (/ (+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x)) 2.0) (sin y))
0.1b
(* 1/3 (pow x 3))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
22×associate-*r*
19×associate-*l*
18×add-exp-log add-cube-cbrt *-un-lft-identity
12×add-cbrt-cube
10×times-frac
9×unswap-sqr
8×unpow-prod-down prod-exp
5×pow1
4×cube-prod cbrt-unprod sqr-pow
3×*-commutative add-log-exp
2×pow-to-exp pow-exp
1×cbrt-undiv cube-mult unpow3 div-exp pow-prod-down associate-*l/ div-inv
Counts
3 → 88
Calls
3 calls:
5.0ms
(* 1/60 (pow x 5))
10.0ms
(* (/ (+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x)) 2.0) (sin y))
6.0ms
(* 1/3 (pow x 3))

series179.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* 1/60 (pow x 5))
90.0ms
(* (/ (+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x)) 2.0) (sin y))
39.0ms
(* 1/3 (pow x 3))

simplify49.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0399676
11677587
25001587

prune259.0ms

Filtered
97 candidates to 65 candidates (67.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh01010
Picked011
Done000
Total9711108

Merged error: 0.0b

Counts
108 → 11

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
0.4b
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (sqrt 2.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
69×add-sqr-sqrt
61×add-cube-cbrt *-un-lft-identity
54×add-exp-log
44×associate-*l*
43×sqrt-prod
34×add-cbrt-cube
22×prod-exp
14×div-exp
13×pow1
12×associate-/r* cbrt-unprod
8×cbrt-undiv
6×associate-/l*
4×rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ div-inv add-log-exp
3×pow-flip unswap-sqr
2×frac-2neg clear-num *-commutative associate-/l/
1×frac-times sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+ inv-pow
Counts
4 → 182
Calls
4 calls:
13.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
18.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
11.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
4.0ms
(/ 1 (sqrt 2.0))

series508.0ms

Counts
4 → 10
Calls
4 calls:
162.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
220.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
126.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06842585
136672208
250022099

prune508.0ms

Filtered
192 candidates to 112 candidates (58.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1866192
Fresh729
Picked101
Done011
Total1949203

Merged error: 0b

Counts
203 → 9

regimes96.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410

end0.0ms

sample6.0s

Algorithm
halfpoints

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