Details

Time bar (total: 4.3s)

sample29.0ms

Algorithm
intervals
Results
11.0ms328×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.8b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.3b
(* (/ x y) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
5.0ms
(/ (+ x 4.0) y)
8.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

series107.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (+ x 4.0) y)
52.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
23.0ms
(* (/ x y) z)

simplify114.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0341425
11212395
24964394
35001394

prune435.0ms

Filtered
88 candidates to 63 candidates (28.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New80888
Fresh000
Picked101
Done000
Total81889

Merged error: 0b

Counts
89 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
16.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series614.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt x)
197.0ms
(cbrt x)
192.0ms
(cbrt x)
26.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0406967
12218639
25001524

prune427.0ms

Filtered
94 candidates to 54 candidates (42.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New94094
Fresh077
Picked011
Done000
Total948102

Merged error: 0b

Counts
102 → 8

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
4.2b
(* x (/ z y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r/ associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
9.0ms
(/ (+ x 4.0) y)
15.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
12.0ms
(* x (/ z y))

series116.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (+ x 4.0) y)
54.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
26.0ms
(* x (/ z y))

simplify40.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0349430
11432403
25002403

prune394.0ms

Filtered
88 candidates to 61 candidates (30.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New87188
Fresh156
Picked011
Done101
Total89796

Merged error: 0b

Counts
96 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
0.1b
(* (+ x 4.0) (/ 1 y))
3.3b
(* (/ x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
22×*-un-lft-identity
21×times-frac
19×add-cube-cbrt
17×add-exp-log associate-*l*
16×associate-*r*
13×associate-*l/ add-cbrt-cube
7×pow1
6×prod-exp frac-sub
5×add-log-exp unswap-sqr
4×frac-times flip3-+ cbrt-unprod flip-+
3×associate-*r/ div-exp un-div-inv
2×cbrt-undiv pow-prod-down *-commutative div-inv sub-div
1×sub-neg rec-exp flip3-- diff-log 1-exp flip-- distribute-lft-out
Counts
3 → 93
Calls
3 calls:
7.0ms
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
9.0ms
(* (+ x 4.0) (/ 1 y))
6.0ms
(* (/ x y) z)

series117.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
33.0ms
(* (+ x 4.0) (/ 1 y))
28.0ms
(* (/ x y) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0506559
12162502
25003481

prune507.0ms

Filtered
102 candidates to 70 candidates (31.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh055
Picked011
Done011
Total1027109

Merged error: 0b

Counts
109 → 7

regimes294.0ms

Accuracy

88.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.4b

bsearch89.0ms

Steps
ItersRangePoint
8
3.1811998238912586e+48
5.696644014805206e+51
3.4959350022673675e+50
6
-6.560189709258984e+108
-4.6057177863353474e+107
-4.693507737083947e+107

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample697.0ms

Algorithm
intervals
Results
349.0ms10056×body80valid

Profiling

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