Details

Time bar (total: 7.1s)

sample50.0ms

Algorithm
intervals
Results
14.0ms32×body1280valid
10.0ms205×body80valid
7.0ms27×body640valid
3.0ms81×body80nan
3.0ms17×body320valid
1.0ms6×body160valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b
(* y (log (/ y (+ z y))))
6.1b
(log (/ y (+ z y)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
206×*-un-lft-identity
198×log-prod
144×exp-sum
140×add-sqr-sqrt
138×add-cube-cbrt
90×distribute-rgt-in distribute-lft-in
39×associate-/l*
34×distribute-lft-out
22×associate-/r/
12×flip3-+ flip-+ div-inv
10×add-exp-log
8×pow1 add-cbrt-cube
6×add-log-exp
4×associate-*r*
3×associate-*l* associate-/r*
2×div-exp rem-log-exp log-pow
1×cbrt-undiv +-commutative log-div frac-2neg pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 267
Calls
4 calls:
38.0ms
(/ (exp (* y (log (/ y (+ z y))))) y)
68.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
11.0ms
(* y (log (/ y (+ z y))))
4.0ms
(log (/ y (+ z y)))

series321.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(/ (exp (* y (log (/ y (+ z y))))) y)
71.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
75.0ms
(* y (log (/ y (+ z y))))
53.0ms
(log (/ y (+ z y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
08523026
126492601
250022592

prune595.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(log (/ (cbrt y) (+ z y)))
2.4b
(+ (log (* (cbrt y) (cbrt y))) (log (/ (cbrt y) (+ z y))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
61×log-prod
48×times-frac
36×add-sqr-sqrt add-cube-cbrt
30×cbrt-prod associate-+r+
18×distribute-lft-out
14×pow1
8×log-pow
7×add-exp-log
4×associate-/r/ add-cbrt-cube add-log-exp
3×flip3-+ flip-+
2×log-div pow1/3 rem-log-exp pow-prod-down div-inv
1×+-commutative associate-+r- associate-+l+ div-exp sum-log
Counts
4 → 112
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
9.0ms
(log (/ (cbrt y) (+ z y)))
27.0ms
(+ (log (* (cbrt y) (cbrt y))) (log (/ (cbrt y) (+ z y))))

series784.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
186.0ms
(cbrt y)
151.0ms
(log (/ (cbrt y) (+ z y)))
268.0ms
(+ (log (* (cbrt y) (cbrt y))) (log (/ (cbrt y) (+ z y))))

simplify41.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
04061046
11285879
25001840

prune469.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.7b
(log (/ (cbrt y) (cbrt (+ z y))))
1.9b
(+ (log (* (cbrt y) (cbrt y))) (+ (log (/ (cbrt 1) (* (cbrt (+ z y)) (cbrt (+ z y))))) (log (/ (cbrt y) (cbrt (+ z y))))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
51×cbrt-prod
49×log-prod
42×times-frac
33×add-sqr-sqrt add-cube-cbrt distribute-lft-out
32×pow1
23×log-pow
7×add-exp-log
5×pow-prod-down add-log-exp
4×add-cbrt-cube
3×associate-+r- log-div sum-log
2×cbrt-div flip3-+ pow1/3 rem-log-exp associate-/r/ flip-+
1×+-commutative associate-+l- associate-+l+ associate-+r+ div-exp div-inv
Counts
4 → 112
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
125.0ms
(+ (log (* (cbrt y) (cbrt y))) (+ (log (/ (cbrt 1) (* (cbrt (+ z y)) (cbrt (+ z y))))) (log (/ (cbrt y) (cbrt (+ z y))))))

series784.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt y)
177.0ms
(cbrt y)
73.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
351.0ms
(+ (log (* (cbrt y) (cbrt y))) (+ (log (/ (cbrt 1) (* (cbrt (+ z y)) (cbrt (+ z y))))) (log (/ (cbrt y) (cbrt (+ z y))))))

simplify51.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04981503
116921375
250021354

prune568.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.5b
(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)
1.7b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-prod
48×log-prod
47×*-un-lft-identity
43×times-frac
35×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
14×cbrt-div
13×unpow-prod-down
10×associate-/r/
7×flip3-+ flip-+
6×pow1 distribute-lft-out
5×div-exp pow-exp
4×frac-times prod-exp add-cbrt-cube add-log-exp
3×pow-unpow
2×pow1/3 associate-*r/ rem-log-exp associate-*l/ div-inv
1×pow-to-exp log-div pow-pow log-pow sqr-pow
Counts
4 → 112
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
15.0ms
(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series707.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt y)
177.0ms
(cbrt y)
271.0ms
(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)
74.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify53.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05881270
118211206
250021141

prune474.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes76.0ms

Accuracy

50.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.1b

bsearch88.0ms

Steps
ItersRangePoint
11
-1.9687675883731564e+45
-4.322234427724679e+22
-8.861416360526609e+33

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03927
13927

end0.0ms

sample1.4s

Algorithm
intervals
Results
348.0ms775×body1280valid
308.0ms6553×body80valid
242.0ms912×body640valid
106.0ms3006×body80nan
99.0ms568×body320valid
34.0ms313×body160valid