Details

Time bar (total: 4.4s)

sample48.0ms

Algorithm
intervals
Results
22.0ms755×body80nan
9.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune2.0ms

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: 0.3b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.3b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
401×add-sqr-sqrt
378×frac-add
373×associate-/l*
278×*-un-lft-identity
230×sqrt-prod
191×log-div
183×associate-/r*
170×add-cube-cbrt
115×difference-of-squares
61×frac-2neg clear-num
51×times-frac
46×distribute-lft-out--
40×sqrt-div
38×associate-/l/
23×swap-sqr associate-*l* *-commutative unswap-sqr
20×flip3-- flip--
8×log-prod distribute-lft-out
7×add-exp-log
6×pow1 add-cbrt-cube add-log-exp
5×div-inv
2×distribute-rgt-out flip3-+ flip-+
1×cbrt-undiv +-commutative rem-sqrt-square sqrt-pow1 pow1/2 div-exp rem-log-exp sum-log log-pow
Counts
4 → 504
Calls
4 calls:
7.0ms
(sqrt (- 1.0 (* x x)))
11.0ms
(/ (sqrt (- 1.0 (* x x))) x)
42.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
51.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (- 1.0 (* x x)))
142.0ms
(/ (sqrt (- 1.0 (* x x))) x)
112.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
314.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify310.0ms

Algorithm
egg-herbie
Counts
516 → 516
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
020408523
150018427

prune764.0ms

Filtered
516 candidates to 274 candidates (53.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New5151516
Fresh000
Picked011
Done000
Total5152517

Merged error: 0b

Counts
517 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series713.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
183.0ms
(cbrt x)
177.0ms
(cbrt x)
178.0ms
(cbrt x)

simplify131.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
040156
181144
2193136
3692136
44040136
55001136

prune178.0ms

Filtered
56 candidates to 48 candidates (85.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh000
Picked011
Done011
Total56258

Merged error: 0b

Counts
58 → 2

regimes50.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02120
12120

end0.0ms

sample1.4s

Algorithm
intervals
Results
732.0ms23701×body80nan
290.0ms8000×body80valid