Details

Time bar (total: 3.1s)

sample19.0ms

Algorithm
intervals
Results
9.0ms337×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1785
21795
32775
43755
54885
69775
725115
850025

prune2.0ms

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: 15.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
14.6b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
7.0ms
(* (* z z) (+ z 1.0))
13.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* z z) (+ z 1.0))
63.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0387405
12384314
25001313

prune307.0ms

Filtered
61 candidates to 37 candidates (60.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New53861
Fresh000
Picked101
Done000
Total54862

Merged error: 7.5b

Counts
62 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.9b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.8b
(/ x (* z z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
14.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

series108.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ y (+ z 1.0))
54.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify75.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0534730
12689629
25003629

prune204.0ms

Filtered
122 candidates to 84 candidates (68.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1166122
Fresh617
Picked101
Done000
Total1237130

Merged error: 0.3b

Counts
130 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.4b
(* (/ x z) (/ y (+ z 1.0)))
1.9b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 155
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
15.0ms
(* (/ x z) (/ y (+ z 1.0)))
13.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

series122.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ y (+ z 1.0))
47.0ms
(* (/ x z) (/ y (+ z 1.0)))
44.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

simplify99.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07951149
14359939
25001939

prune241.0ms

Filtered
164 candidates to 102 candidates (62.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1604164
Fresh336
Picked011
Done000
Total1638171

Merged error: 0b

Counts
171 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
25.7b
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
25.7b
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
25.7b
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
81×add-exp-log
45×add-cbrt-cube
36×prod-exp
26×div-exp
21×cbrt-div
20×frac-times associate-*r/
18×cbrt-unprod
13×cbrt-undiv associate-*l*
12×associate-*l/
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 times-frac
5×rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 pow-prod-down
1×associate-*r* *-commutative div-inv
Counts
4 → 117
Calls
4 calls:
14.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
11.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
11.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
11.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

series469.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
139.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
136.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
150.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

simplify82.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06461386
133621165
250011143

prune270.0ms

Filtered
129 candidates to 87 candidates (67.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh066
Picked011
Done011
Total1298137

Merged error: 0b

Counts
137 → 8

regimes107.0ms

Accuracy

0% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample489.0ms

Algorithm
intervals
Results
279.0ms10756×body80valid