Details

Time bar (total: 16.9s)

sample6.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.671387%

Guaranteed chance to sample good point: 75.015362%

Results
8.0ms256×body80valid
0.0ms13×body80invalid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.1b
(/ x (* (- y z) (- t z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
8.0ms
(* (- y z) (- t z))
11.0ms
(/ x (* (- y z) (- t z)))

series33.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y z) (- t z))
26.0ms
(/ x (* (- y z) (- t z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0300403
11371359
25001355

prune95.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New62769
Fresh000
Picked101
Done000
Total63770

Merged error: 0.0b

Counts
70 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

1.7b
(/ (/ x (- y z)) (- t z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
195×times-frac
157×add-sqr-sqrt *-un-lft-identity
77×add-cube-cbrt
40×distribute-lft-out-- difference-of-squares
21×associate-/l*
14×associate-/r/
7×flip3-- flip-- div-inv
6×add-exp-log add-cbrt-cube
5×associate-/r*
3×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 148
Calls
1 calls:
12.0ms
(/ (/ x (- y z)) (- t z))

series29.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (/ x (- y z)) (- t z))

simplify58.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
06191547
122641513
250011513

prune126.0ms

Filtered
100 candidates to 151 candidates (-51.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1483151
Fresh246
Picked011
Done000
Total1508158

Merged error: 0b

Counts
158 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ (- t z) (/ x (- y z))))
1.7b
(/ (- t z) (/ x (- y z)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
1245×times-frac
825×add-sqr-sqrt *-un-lft-identity
457×add-cube-cbrt
184×distribute-lft-out-- difference-of-squares
131×associate-/r*
58×associate-/r/
32×div-inv
28×add-exp-log
27×flip3-- flip--
18×div-exp
16×add-cbrt-cube
9×cbrt-undiv
8×associate-/l*
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 617
Calls
2 calls:
29.0ms
(/ 1 (/ (- t z) (/ x (- y z))))
12.0ms
(/ (- t z) (/ x (- y z)))

series59.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 1 (/ (- t z) (/ x (- y z))))
15.0ms
(/ (- t z) (/ x (- y z)))

simplify113.0ms

Algorithm
egg-herbie
Counts
623 → 623
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
018457715
150027346

prune400.0ms

Filtered
329 candidates to 623 candidates (-89.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New6212623
Fresh336
Picked101
Done011
Total6256631

Merged error: 0b

Counts
631 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (* (/ (- t z) x) (- y z)))
2.2b
(* (/ (- t z) x) (- y z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
27×add-sqr-sqrt
22×*-un-lft-identity
19×times-frac associate-*l*
16×add-cbrt-cube
14×add-cube-cbrt
10×div-exp
8×prod-exp
7×pow1
5×cbrt-undiv associate-*r* associate-/r/
4×frac-times flip3-- associate-*r/ flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
3×rec-exp 1-exp associate-/l*
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in pow-prod-down associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg clear-num associate-/r* *-commutative inv-pow
Counts
2 → 85
Calls
2 calls:
10.0ms
(/ 1 (* (/ (- t z) x) (- y z)))
12.0ms
(* (/ (- t z) x) (- y z))

series61.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (* (/ (- t z) x) (- y z)))
15.0ms
(* (/ (- t z) x) (- y z))

simplify46.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0419567
11749497
25002487

prune63.0ms

Filtered
55 candidates to 91 candidates (-65.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh134
Picked011
Done011
Total91697

Merged error: 0b

Counts
97 → 6

regimes256.0ms

Accuracy

25.1% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.1b

bsearch44.0ms

Steps
ItersRangePoint
8
-3.102577047909569e-308
1.6041739567769117e-306
2.671853008871483e-309

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01611
11611

end0.0ms

sample8.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.671387%

Guaranteed chance to sample good point: 75.015362%

Results
253.0ms8000×body80valid
12.0ms405×body80invalid

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