Details

Time bar (total: 2.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms312×body80valid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750014

prune2.0ms

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: 9.4b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- y z) 1.0)
0.0b
(* x (+ (- y z) 1.0))
8.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
42×add-sqr-sqrt times-frac
32×add-cube-cbrt
25×associate-*r*
15×associate-*l*
14×associate-/l*
12×distribute-lft-out
10×add-exp-log add-cbrt-cube
8×add-log-exp
6×associate-+l+ distribute-lft-out--
5×pow1 *-commutative unswap-sqr
4×distribute-rgt-in distribute-lft-in associate-*r/
3×+-commutative sub-neg flip3-+ associate-/r* flip-+
2×cbrt-undiv div-exp prod-exp sum-log cbrt-unprod associate-/l/
1×associate-+l- frac-2neg diff-log pow-prod-down clear-num div-inv
Counts
3 → 122
Calls
3 calls:
6.0ms
(+ (- y z) 1.0)
9.0ms
(* x (+ (- y z) 1.0))
14.0ms
(/ (* x (+ (- y z) 1.0)) z)

series99.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (- y z) 1.0)
34.0ms
(* x (+ (- y z) 1.0))
49.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify70.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0407796
11807742
25001742

prune160.0ms

Filtered
131 candidates to 84 candidates (35.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1265131
Fresh000
Picked011
Done000
Total1266132

Merged error: 0b

Counts
132 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- y z) 1.0)
0.0b
(/ z (+ (- y z) 1.0))
1.5b
(/ (* x 1) (/ z (+ (- y z) 1.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
469×*-un-lft-identity
273×add-sqr-sqrt
207×add-cube-cbrt
96×distribute-lft-out
66×associate-*r* associate-*l*
48×distribute-lft-out--
44×unswap-sqr
41×associate-/r/
31×associate-/r*
22×add-exp-log *-commutative
19×associate-/l*
17×add-cbrt-cube
16×flip3-+ flip-+ div-inv
10×div-exp
8×add-log-exp
7×cbrt-undiv
4×prod-exp
3×pow1 frac-2neg clear-num
2×associate-+l+ 1-exp sum-log cbrt-unprod
1×+-commutative associate-+l- sub-neg diff-log
Counts
3 → 392
Calls
3 calls:
6.0ms
(+ (- y z) 1.0)
8.0ms
(/ z (+ (- y z) 1.0))
20.0ms
(/ (* x 1) (/ z (+ (- y z) 1.0)))

series118.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (- y z) 1.0)
56.0ms
(/ z (+ (- y z) 1.0))
46.0ms
(/ (* x 1) (/ z (+ (- y z) 1.0)))

simplify81.0ms

Algorithm
egg-herbie
Counts
401 → 401
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
011863851
150013559

prune289.0ms

Filtered
401 candidates to 142 candidates (64.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3992401
Fresh224
Picked011
Done011
Total4016407

Merged error: 0b

Counts
407 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- y z) 1.0)
0.0b
(/ (+ (- y z) 1.0) z)
1.6b
(* (* x 1) (/ (+ (- y z) 1.0) z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
47×add-sqr-sqrt
33×times-frac
27×add-cube-cbrt
22×add-exp-log associate-*r*
20×distribute-lft-out
17×add-cbrt-cube
16×associate-*l*
13×associate-*r/ associate-/l*
12×unswap-sqr
10×prod-exp distribute-lft-out--
8×pow1 add-log-exp
6×associate-/r* cbrt-unprod
4×div-exp un-div-inv associate-/l/
3×cbrt-undiv flip3-+ pow-prod-down clear-num flip-+
2×associate-+l- associate-+l+ frac-2neg 1-exp sum-log *-commutative div-inv
1×+-commutative sub-neg diff-log div-sub
Counts
3 → 130
Calls
3 calls:
6.0ms
(+ (- y z) 1.0)
9.0ms
(/ (+ (- y z) 1.0) z)
20.0ms
(* (* x 1) (/ (+ (- y z) 1.0) z))

series92.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (- y z) 1.0)
28.0ms
(/ (+ (- y z) 1.0) z)
48.0ms
(* (* x 1) (/ (+ (- y z) 1.0) z))

simplify65.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0488761
11940682
25001674

prune153.0ms

Filtered
139 candidates to 79 candidates (43.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1381139
Fresh123
Picked011
Done022
Total1396145

Merged error: 0b

Counts
145 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- y z) 1.0)
0.1b
(* (+ (- y z) 1.0) (/ 1 z))
1.6b
(* (* x 1) (* (+ (- y z) 1.0) (/ 1 z)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
62×add-exp-log *-un-lft-identity
55×associate-*r*
50×associate-*r/
41×prod-exp
37×unswap-sqr
36×frac-times
35×add-cube-cbrt
29×add-cbrt-cube
28×times-frac
26×associate-*l*
21×flip3-+ flip-+
20×associate-/l*
18×associate-/r*
17×pow1
15×cbrt-unprod
9×1-exp pow-prod-down
8×div-exp clear-num add-log-exp
6×frac-2neg un-div-inv distribute-lft-out
4×rec-exp associate-*l/ *-commutative
3×cbrt-undiv distribute-lft-out--
2×associate-+l+ sum-log div-inv
1×+-commutative associate-+l- sub-neg diff-log
Counts
3 → 201
Calls
3 calls:
6.0ms
(+ (- y z) 1.0)
14.0ms
(* (+ (- y z) 1.0) (/ 1 z))
30.0ms
(* (* x 1) (* (+ (- y z) 1.0) (/ 1 z)))

series92.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (- y z) 1.0)
27.0ms
(* (+ (- y z) 1.0) (/ 1 z))
49.0ms
(* (* x 1) (* (+ (- y z) 1.0) (/ 1 z)))

simplify109.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08191472
135641253
250031199

prune235.0ms

Filtered
210 candidates to 119 candidates (43.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2100210
Fresh022
Picked011
Done033
Total2106216

Merged error: 0b

Counts
216 → 6

regimes125.0ms

Accuracy

97.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.1b

bsearch76.0ms

Steps
ItersRangePoint
8
1.0035131970971057e-07
0.0002664861222813985
1.8069642135443806e-06
9
-145180044356031.62
-3082808.993858609
-11400309608.36395

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0279
1319
2319

end0.0ms

sample466.0ms

Algorithm
intervals
Results
256.0ms10115×body80valid