Details

Time bar (total: 4.3s)

sample47.0ms

Algorithm
intervals
Results
10.0ms219×body80valid
9.0ms22×body1280valid
7.0ms28×body640valid
3.0ms100×body80nan
3.0ms17×body320valid
1.0ms10×body160valid

simplify130.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (36.0ms)

IterNodesCost
0187
1277
2547
31117
43147
58017
642086
750016

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.8b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b
(/ y (+ z y))
0.1b
(* y (log (/ y (+ z y))))
9.7b
(log (/ y (+ z y)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
54×log-prod
48×times-frac
44×add-sqr-sqrt
42×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
15×distribute-lft-out
11×add-exp-log
10×log-div
8×pow1 associate-/r* associate-/r/ add-cbrt-cube associate-/l*
6×add-log-exp
5×flip3-+ flip-+
4×expm1-log1p-u associate-*r* log-rec clear-num log1p-expm1-u div-inv
3×fma-def associate-*l*
2×frac-2neg div-exp rem-log-exp log-pow distribute-rgt-neg-out
1×cbrt-undiv +-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 153
Calls
4 calls:
36.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
9.0ms
(* y (log (/ y (+ z y))))
6.0ms
(log (/ y (+ z y)))

series257.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
42.0ms
(/ y (+ z y))
83.0ms
(* y (log (/ y (+ z y))))
54.0ms
(log (/ y (+ z y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04051110
116151022
25002993

prune285.0ms

Filtered
165 candidates to 109 candidates (66.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1632165
Fresh101
Picked101
Done000
Total1652167

Merged error: 0.0b

Counts
167 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.9b
(log (/ (cbrt y) (cbrt (+ z y))))
2.9b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
110×cbrt-prod
98×*-un-lft-identity
96×log-prod
84×times-frac
68×add-sqr-sqrt add-cube-cbrt
32×log-div
14×associate-/r* distribute-lft-out associate-/l*
10×add-exp-log
6×pow1
4×expm1-log1p-u cbrt-div rem-log-exp log-rec clear-num associate-/r/ add-cbrt-cube log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 182
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
13.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series521.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt y)
180.0ms
(cbrt y)
75.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
81.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify119.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
03451788
18901730
231141690
350011614

prune605.0ms

Filtered
194 candidates to 132 candidates (68.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1940194
Fresh011
Picked011
Done000
Total1942196

Merged error: 0.0b

Counts
196 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×times-frac
5×add-exp-log
4×add-cbrt-cube add-log-exp
3×fma-def associate-/r* associate-/l*
2×pow1 expm1-log1p-u div-exp log1p-expm1-u
1×cbrt-undiv +-commutative exp-neg frac-2neg mul-1-neg flip3-+ clear-num sum-log flip-+ div-inv associate-/l/ distribute-lft-out
Counts
2 → 48
Calls
2 calls:
7.0ms
(+ x (/ (exp (* -1 z)) y))
7.0ms
(/ (exp (* -1 z)) y)

series43.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ x (/ (exp (* -1 z)) y))
20.0ms
(/ (exp (* -1 z)) y)

simplify70.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0181294
1487278
22037274
35001274

prune90.0ms

Filtered
54 candidates to 42 candidates (77.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New53154
Fresh000
Picked101
Done011
Total54256

Merged error: 0.0b

Counts
56 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
45×*-un-lft-identity
40×add-cube-cbrt times-frac
35×sqrt-prod
22×associate-*r*
19×associate-/l*
17×exp-neg mul-1-neg sqrt-div
13×frac-times associate-*r/
10×add-exp-log add-cbrt-cube
9×associate-/r*
7×associate-*l*
6×unswap-sqr
5×pow1 add-log-exp
4×clear-num
3×expm1-log1p-u fma-def frac-2neg log1p-expm1-u associate-/l/
2×cbrt-undiv div-exp prod-exp un-div-inv cbrt-unprod div-inv distribute-lft-out
1×+-commutative flip3-+ pow-prod-down associate-*l/ sum-log *-commutative flip-+
Counts
3 → 138
Calls
3 calls:
19.0ms
(+ x (* (sqrt (exp (* -1 z))) (/ (sqrt (exp (* -1 z))) y)))
22.0ms
(* (sqrt (exp (* -1 z))) (/ (sqrt (exp (* -1 z))) y))
10.0ms
(/ (sqrt (exp (* -1 z))) y)

series78.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ x (* (sqrt (exp (* -1 z))) (/ (sqrt (exp (* -1 z))) y)))
20.0ms
(* (sqrt (exp (* -1 z))) (/ (sqrt (exp (* -1 z))) y))
35.0ms
(/ (sqrt (exp (* -1 z))) y)

simplify72.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
03961300
117661147
250021065

prune244.0ms

Filtered
147 candidates to 99 candidates (67.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1470147
Fresh000
Picked011
Done011
Total1472149

Merged error: 0.0b

Counts
149 → 2

regimes49.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02718
12918
22918

end0.0ms

sample1.4s

Algorithm
intervals
Results
314.0ms6624×body80valid
314.0ms715×body1280valid
239.0ms917×body640valid
111.0ms3169×body80nan
96.0ms555×body320valid
34.0ms326×body160valid