Details

Time bar (total: 1.6s)

sample24.0ms

Algorithm
intervals
Results
9.0ms321×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1184
2324
3474
4574
5754
61094
71784
83974
913694
1050014

prune3.0ms

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: 12.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z x))
11.4b
(/ (+ x (* y (- z x))) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt
times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1
associate-*l* associate-/r* associate-/l*
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-/l/ add-log-exp
cbrt-undiv flip3-- frac-2neg flip3-+ div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* y (- z x))
5.0ms
(/ (+ x (* y (- z x))) z)

series17.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z x))
10.0ms
(/ (+ x (* y (- z x))) z)

simplify102.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0235338
1973311
24250311
35001311

prune74.0ms

Filtered
61 candidates to 42 candidates (31.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New56561
Fresh000
Picked101
Done000
Total57562

Merged error: 4.3b

Counts
62 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ (* x y) z))
7.4b
(/ (* x y) z)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log add-cbrt-cube add-log-exp
add-sqr-sqrt
add-cube-cbrt
times-frac associate-/r*
pow1 cbrt-undiv diff-log div-exp frac-sub distribute-lft-out--
sub-neg flip3-- frac-2neg flip3-+ prod-exp associate--l+ clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l* difference-of-squares
Counts
2 → 40
Calls
2 calls:
10.0ms
(- (+ (/ x z) y) (/ (* x y) z))
4.0ms
(/ (* x y) z)

series13.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- (+ (/ x z) y) (/ (* x y) z))
5.0ms
(/ (* x y) z)

simplify29.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0244274
11067254
25001250

prune48.0ms

Filtered
46 candidates to 31 candidates (32.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45146
Fresh224
Picked011
Done000
Total47451

Merged error: 0.0b

Counts
51 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ x z) y) (* x (/ y z)))
6.8b
(* x (/ y z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
add-exp-log add-cbrt-cube add-log-exp
pow1
associate-*r/ associate-*l*
diff-log prod-exp frac-sub cbrt-unprod unswap-sqr
cbrt-undiv sub-neg flip3-- flip3-+ div-exp pow-prod-down associate--l+ sum-log *-commutative flip-- flip-+ div-inv
Counts
2 → 48
Calls
2 calls:
8.0ms
(- (+ (/ x z) y) (* x (/ y z)))
6.0ms
(* x (/ y z))

series12.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(- (+ (/ x z) y) (* x (/ y z)))
5.0ms
(* x (/ y z))

simplify39.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0301298
11327278
25001274

prune47.0ms

Filtered
54 candidates to 36 candidates (33.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New53154
Fresh112
Picked011
Done011
Total54458

Merged error: 0b

Counts
58 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
6.9b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
pow-prod-down
add-log-exp
cbrt-undiv pow1/3 div-exp
associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series75.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
22.0ms
(cbrt y)
21.0ms
(cbrt y)
8.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify57.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0376615
11991524
25001464

prune72.0ms

Filtered
92 candidates to 63 candidates (31.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done022
Total92496

Merged error: 0b

Counts
96 → 4

regimes166.0ms

Accuracy

97.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.2b

bsearch35.0ms

Steps
ItersRangePoint
10
4.408660092593643e+36
6.373715722054071e+46
1.1134406296109404e+42
8
-75024799.39867926
-2084.353793979253
-27923.653365471517

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02310
12310

end0.0ms

sample673.0ms

Algorithm
intervals
Results
305.0ms10169×body80valid

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