Details

Time bar (total: 2.5s)

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.6b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) 1.0)
16.6b
(/ x (+ (* x x) 1.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 40
Calls
2 calls:
4.0ms
(+ (* x x) 1.0)
5.0ms
(/ x (+ (* x x) 1.0))

series92.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* x x) 1.0)
57.0ms
(/ x (+ (* x x) 1.0))

simplify110.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0194267
1717245
23039242
35002242

prune76.0ms

Filtered
46 candidates to 37 candidates (80.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New42446
Fresh000
Picked101
Done000
Total43447

Merged error: 0b

Counts
47 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))
0.0b
(/ x (sqrt (+ (* x x) 1.0)))
16.6b
(sqrt (+ (* x x) 1.0))
16.6b
(sqrt (+ (* x x) 1.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×sqrt-div
9×div-exp
8×pow1 prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 158
Calls
4 calls:
29.0ms
(* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))
6.0ms
(/ x (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

series267.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))
119.0ms
(/ x (sqrt (+ (* x x) 1.0)))
47.0ms
(sqrt (+ (* x x) 1.0))
41.0ms
(sqrt (+ (* x x) 1.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06151742
128851548
250011440

prune248.0ms

Filtered
170 candidates to 113 candidates (66.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1700170
Fresh033
Picked011
Done000
Total1704174

Merged error: 0b

Counts
174 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) 1.0)
0.2b
(/ 1 (+ (* x x) 1.0))
16.5b
(* x (/ 1 (+ (* x x) 1.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-+ associate-*l* associate-/r* flip-+ associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×+-commutative pow-flip frac-2neg associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
3 → 82
Calls
3 calls:
4.0ms
(+ (* x x) 1.0)
6.0ms
(/ 1 (+ (* x x) 1.0))
10.0ms
(* x (/ 1 (+ (* x x) 1.0)))

series134.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (* x x) 1.0)
38.0ms
(/ 1 (+ (* x x) 1.0))
59.0ms
(* x (/ 1 (+ (* x x) 1.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0337525
11491458
25001422

prune91.0ms

Filtered
91 candidates to 56 candidates (61.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh022
Picked011
Done011
Total91495

Merged error: 0b

Counts
95 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

8.8b
(* (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))))
17.1b
(cbrt (+ (* x x) 1.0))
17.1b
(cbrt (+ (* x x) 1.0))
17.1b
(cbrt (+ (* x x) 1.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
31.0ms
(* (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))))
4.0ms
(cbrt (+ (* x x) 1.0))
4.0ms
(cbrt (+ (* x x) 1.0))
4.0ms
(cbrt (+ (* x x) 1.0))

series561.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))))
167.0ms
(cbrt (+ (* x x) 1.0))
166.0ms
(cbrt (+ (* x x) 1.0))
168.0ms
(cbrt (+ (* x x) 1.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06631701
130491471
250011333

prune245.0ms

Filtered
131 candidates to 95 candidates (72.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh011
Picked011
Done022
Total1314135

Merged error: 0b

Counts
135 → 4

regimes27.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.5b

bsearch49.0ms

Steps
ItersRangePoint
7
144.2461487089888
2456.611191262651
1226.0118707272507
8
-9627.362198738589
-14.519914462167517
-8878.544134388208

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03112
13112

end0.0ms

sample253.0ms

Algorithm
intervals
Results
167.0ms8000×body80valid

Profiling

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