Details

Time bar (total: 3.1s)

sample19.0ms

Algorithm
intervals
Results
9.0ms342×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 12.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
11.9b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite19.0ms

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))
10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* z z) (+ z 1.0))
68.0ms
(/ (* 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

prune103.0ms

Filtered
61 candidates to 37 candidates (60.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New52961
Fresh000
Picked101
Done000
Total53962

Merged error: 7.5b

Counts
62 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
4.2b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.9b
(/ x (* z z))

rewrite28.0ms

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))

series105.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (+ z 1.0))
52.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify67.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0534730
12689629
25003629

prune201.0ms

Filtered
122 candidates to 84 candidates (68.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1184122
Fresh448
Picked011
Done000
Total1229131

Merged error: 0.0b

Counts
131 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
37×times-frac
34×*-un-lft-identity
28×add-cube-cbrt
22×associate-*l*
20×cbrt-prod
18×associate-*r*
16×add-exp-log
14×add-cbrt-cube
6×pow1 unswap-sqr
4×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3 distribute-lft-out
2×associate-/r/ div-inv
1×frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 107
Calls
4 calls:
16.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series664.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
172.0ms
(cbrt x)
175.0ms
(cbrt x)
178.0ms
(cbrt x)

simplify60.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0527694
12318631
25001622

prune279.0ms

Filtered
119 candidates to 98 candidates (82.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh077
Picked011
Done011
Total1199128

Merged error: 0.0b

Counts
128 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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))
14.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
19.0ms
(* (/ x z) (/ y (+ z 1.0)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (+ z 1.0))
52.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
46.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify98.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07951149
14362939
25001939

prune230.0ms

Filtered
164 candidates to 102 candidates (62.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1622164
Fresh156
Picked101
Done022
Total1649173

Merged error: 0.0b

Counts
173 → 9

regimes149.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01510
11510

end0.0ms

sample518.0ms

Algorithm
intervals
Results
299.0ms10719×body80valid

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