Details

Time bar (total: 19.9s)

sample31.0ms

Algorithm
intervals
Results
10.0ms269×body80valid
0.0ms1×body1280valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1586
21076
31886
43646
57226
610676
714526
819636
921436
1021456
1121456

prune5.0ms

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: 2.0b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
10.9b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
239×*-un-lft-identity
203×times-frac
136×add-sqr-sqrt
87×add-cube-cbrt
44×distribute-lft-out
43×distribute-lft-out--
23×difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×associate-+l- sub-neg flip3-+ diff-log associate-/r/ flip-+ associate--r-
Counts
3 → 192
Calls
3 calls:
8.0ms
(/ (+ (- t z) 1.0) a)
29.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
13.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series268.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (+ (- t z) 1.0) a)
90.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
140.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify73.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
07071950
126291888
250011887

prune1.1s

Filtered
201 candidates to 119 candidates (40.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1965201
Fresh000
Picked101
Done000
Total1975202

Merged error: 0b

Counts
202 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b
(/ (- y z) (+ (- t z) 1.0))
2.5b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
54×add-sqr-sqrt
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 114
Calls
3 calls:
3.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
10.0ms
(/ (- y z) (+ (- t z) 1.0))
14.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series288.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
58.0ms
(/ (- y z) (+ (- t z) 1.0))
141.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify48.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0436882
11450824
25001823

prune475.0ms

Filtered
123 candidates to 77 candidates (37.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1221123
Fresh134
Picked011
Done000
Total1235128

Merged error: 0b

Counts
128 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (- t z) 1.0))
0.5b
(cbrt (+ (- t z) 1.0))
0.5b
(cbrt (+ (- t z) 1.0))
4.1b
(/ (/ (- y z) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (cbrt (+ (- t z) 1.0)) a))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
1053×times-frac
678×*-un-lft-identity
393×add-sqr-sqrt
354×cbrt-div
335×add-cube-cbrt
285×cbrt-prod
233×associate-/r/
177×flip3-+ flip-+
116×frac-times
114×distribute-lft-out
86×distribute-lft-out--
58×associate-*r/ associate-*l/
48×div-inv
29×difference-of-squares
28×associate-/r*
25×add-exp-log
18×add-cbrt-cube
17×associate-/l*
13×cbrt-undiv div-exp
4×pow1 add-log-exp
3×pow1/3
2×div-sub prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 591
Calls
4 calls:
5.0ms
(cbrt (+ (- t z) 1.0))
5.0ms
(cbrt (+ (- t z) 1.0))
5.0ms
(cbrt (+ (- t z) 1.0))
39.0ms
(/ (/ (- y z) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (cbrt (+ (- t z) 1.0)) a))

series510.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (+ (- t z) 1.0))
120.0ms
(cbrt (+ (- t z) 1.0))
120.0ms
(cbrt (+ (- t z) 1.0))
147.0ms
(/ (/ (- y z) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (cbrt (+ (- t z) 1.0)) a))

simplify183.0ms

Algorithm
egg-herbie
Counts
603 → 603
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0259215982
1500215803

prune10.5s

Filtered
603 candidates to 371 candidates (38.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6030603
Fresh033
Picked011
Done011
Total6035608

Merged error: 0b

Counts
608 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
4.0b
(/ (cbrt (- y z)) (/ (cbrt (+ (- t z) 1.0)) a))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
440×times-frac
399×*-un-lft-identity
295×cbrt-prod
264×add-sqr-sqrt
200×add-cube-cbrt
59×distribute-lft-out--
54×distribute-lft-out
32×difference-of-squares
28×associate-/r*
10×div-inv
9×add-exp-log
8×cbrt-div associate-/l*
6×add-cbrt-cube
4×pow1 flip3-- flip-- add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×associate-/l/
1×frac-2neg clear-num associate-/r/
Counts
4 → 322
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
18.0ms
(/ (cbrt (- y z)) (/ (cbrt (+ (- t z) 1.0)) a))

series849.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt (- y z))
177.0ms
(cbrt (- y z))
172.0ms
(cbrt (- y z))
325.0ms
(/ (cbrt (- y z)) (/ (cbrt (+ (- t z) 1.0)) a))

simplify120.0ms

Algorithm
egg-herbie
Counts
334 → 334
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
09454900
136184786
250014582

prune3.9s

Filtered
334 candidates to 192 candidates (42.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3340334
Fresh022
Picked011
Done022
Total3345339

Merged error: 0b

Counts
339 → 5

regimes373.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample753.0ms

Algorithm
intervals
Results
299.0ms8500×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid

Profiling

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