Details

Time bar (total: 5.0s)

sample42.0ms

Algorithm
intervals
Results
14.0ms34×body1280valid
10.0ms180×body80valid
5.0ms19×body640valid
2.0ms12×body320valid
1.0ms11×body160valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1285
2375
3435
4525
5665
61015
71665
82125
92365
102505
112705
122705

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ x (cos y)) (* z (sin y)))
0.0b
(+ x (cos y))
0.1b
(* z (sin y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*r* associate-*l*
2×diff-log sum-log
1×+-commutative sub-neg flip3-- flip3-+ pow-prod-down prod-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 44
Calls
3 calls:
17.0ms
(- (+ x (cos y)) (* z (sin y)))
2.0ms
(+ x (cos y))
3.0ms
(* z (sin y))

series110.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (+ x (cos y)) (* z (sin y)))
23.0ms
(+ x (cos y))
41.0ms
(* z (sin y))

simplify72.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0198256
1668240
22771240
35001240

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series729.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (cbrt z) (cbrt z))
177.0ms
(cbrt z)
174.0ms
(cbrt z)
172.0ms
(cbrt z)

simplify91.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune253.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* (* z (sin y)) (+ (* z (sin y)) (+ x (cos y)))) (* (+ x (cos y)) (+ x (cos y))))
1.2b
(- (pow (+ x (cos y)) 3) (pow (* z (sin y)) 3))
2.1b
(* (* z (sin y)) (+ (* z (sin y)) (+ x (cos y))))
25.1b
(/ (- (pow (+ x (cos y)) 3) (pow (* z (sin y)) 3)) (+ (* (* z (sin y)) (+ (* z (sin y)) (+ x (cos y)))) (* (+ x (cos y)) (+ x (cos y)))))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt
43×flip3-+ flip-+
42×associate-*r/
40×difference-of-squares
39×times-frac
33×*-un-lft-identity
32×frac-add
30×sqr-pow
23×add-cube-cbrt
18×associate-/r/
16×frac-times
13×associate-/l*
11×add-exp-log add-cbrt-cube
10×unpow-prod-down cube-prod
9×pow1
8×associate-*l/ add-log-exp
5×difference-cubes distribute-lft-out--
3×distribute-rgt-in distribute-lft-in associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
2×associate-+l+ associate-+r+ flip3-- flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 163
Calls
4 calls:
17.0ms
(+ (* (* z (sin y)) (+ (* z (sin y)) (+ x (cos y)))) (* (+ x (cos y)) (+ x (cos y))))
41.0ms
(- (pow (+ x (cos y)) 3) (pow (* z (sin y)) 3))
26.0ms
(* (* z (sin y)) (+ (* z (sin y)) (+ x (cos y))))
113.0ms
(/ (- (pow (+ x (cos y)) 3) (pow (* z (sin y)) 3)) (+ (* (* z (sin y)) (+ (* z (sin y)) (+ x (cos y)))) (* (+ x (cos y)) (+ x (cos y)))))

series735.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(+ (* (* z (sin y)) (+ (* z (sin y)) (+ x (cos y)))) (* (+ x (cos y)) (+ x (cos y))))
224.0ms
(- (pow (+ x (cos y)) 3) (pow (* z (sin y)) 3))
88.0ms
(* (* z (sin y)) (+ (* z (sin y)) (+ x (cos y))))
304.0ms
(/ (- (pow (+ x (cos y)) 3) (pow (* z (sin y)) 3)) (+ (* (* z (sin y)) (+ (* z (sin y)) (+ x (cos y)))) (* (+ x (cos y)) (+ x (cos y)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09995424
150015226

prune658.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (sin y))
0.2b
(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
6.2b
(sqrt (* z (sin y)))
6.2b
(sqrt (* z (sin y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
14×add-sqr-sqrt
12×pow1/2
10×add-cube-cbrt *-un-lft-identity pow-prod-up
8×add-exp-log add-cbrt-cube
7×associate-*r* associate-*l*
6×sqrt-prod pow-sqr
4×swap-sqr add-log-exp
2×prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 89
Calls
4 calls:
3.0ms
(* z (sin y))
13.0ms
(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
2.0ms
(sqrt (* z (sin y)))
2.0ms
(sqrt (* z (sin y)))

series183.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* z (sin y))
38.0ms
(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
54.0ms
(sqrt (* z (sin y)))
49.0ms
(sqrt (* z (sin y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0252418
11229364
25001356

prune210.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample1.2s

Algorithm
intervals
Results
418.0ms1011×body1280valid
317.0ms5569×body80valid
204.0ms779×body640valid
75.0ms408×body320valid
28.0ms233×body160valid