Details

Time bar (total: 4.6s)

sample53.0ms

Algorithm
intervals
Results
13.0ms218×body80valid
10.0ms31×body640valid
9.0ms17×body1280valid
4.0ms88×body80nan
3.0ms16×body320valid
2.0ms15×body160valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune3.0ms

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: 5.0b

Counts
2 → 1

localize12.0ms

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))))
6.8b
(log (/ y (+ z y)))

rewrite79.0ms

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:
14.0ms
(/ (exp (* y (log (/ y (+ z y))))) y)
30.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(/ (exp (* y (log (/ y (+ z y))))) y)
69.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
78.0ms
(* y (log (/ y (+ z y))))
49.0ms
(log (/ y (+ z y)))

simplify88.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
08523026
126492601
250022592

prune505.0ms

Filtered
279 candidates to 158 candidates (56.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2754279
Fresh000
Picked101
Done000
Total2764280

Merged error: 0.0b

Counts
280 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (exp 0) y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
6.0ms
(+ x (/ (exp 0) y))

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(+ x (/ (exp 0) y))

simplify129.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 4 (51.0ms)

IterNodesCost
07974
125361
270660
3163258
4489457
5500157

prune32.0ms

Filtered
15 candidates to 12 candidates (80.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15015
Fresh033
Picked011
Done000
Total15419

Merged error: 0.0b

Counts
19 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(* (cbrt y) (cbrt y))
5.3b
(pow (/ y (+ z y)) y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
23×add-cube-cbrt
22×cbrt-prod
18×unpow-prod-down
12×pow1 times-frac
9×add-exp-log
8×pow1/3
6×swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow distribute-lft-out
2×pow-prod-down pow-exp associate-/r/ pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow flip3-+ pow-plus div-exp prod-exp *-commutative cbrt-unprod flip-+ div-inv sqr-pow
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(* (cbrt y) (cbrt y))
7.0ms
(pow (/ y (+ z y)) y)

series775.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt y)
180.0ms
(cbrt y)
192.0ms
(* (cbrt y) (cbrt y))
225.0ms
(pow (/ y (+ z y)) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0373496
11565466
25001434

prune272.0ms

Filtered
107 candidates to 78 candidates (72.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh022
Picked011
Done011
Total1074111

Merged error: 0.0b

Counts
111 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (exp (* -1 z)) y))
0.0b
(/ (exp (* -1 z)) y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/r* associate-/l*
2×pow1
1×cbrt-undiv +-commutative exp-neg frac-2neg mul-1-neg flip3-+ div-exp clear-num sum-log flip-+ div-inv associate-/l/ distribute-lft-out
Counts
2 → 40
Calls
2 calls:
6.0ms
(+ x (/ (exp (* -1 z)) y))
4.0ms
(/ (exp (* -1 z)) y)

series44.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (/ (exp (* -1 z)) y))
23.0ms
(/ (exp (* -1 z)) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0176274
1464258
22001256
35002256

prune86.0ms

Filtered
46 candidates to 35 candidates (76.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New45146
Fresh011
Picked101
Done022
Total46450

Merged error: 0.0b

Counts
50 → 4

regimes81.0ms

Accuracy

96.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.3b

bsearch146.0ms

Steps
ItersRangePoint
11
8.262533215819434e-19
1512659023.2775986
0.13331480702107812
5
-4.2146706673168274e-97
-2.0339121926933505e-97
-4.175800597640637e-97
8
-40797.71347786091
-3.4402871636077537
-9.384112880396579

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04235
14235

end0.0ms

sample1.7s

Algorithm
intervals
Results
421.0ms838×body1280valid
388.0ms6543×body80valid
278.0ms894×body640valid
139.0ms2979×body80nan
116.0ms568×body320valid
41.0ms319×body160valid