Details

Time bar (total: 3.3s)

sample67.0ms

Algorithm
intervals
Results
37.0ms794×body80nan
12.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01613
11613

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
32×add-sqr-sqrt
26×add-cube-cbrt
20×sqrt-prod
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube add-log-exp
5×div-inv difference-of-squares
4×sqrt-div
3×log-div associate-/r*
2×distribute-rgt-out flip3-- flip3-+ frac-add flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp clear-num sum-log log-pow
Counts
4 → 98
Calls
4 calls:
17.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
7.0ms
(/ (sqrt (- 1.0 (* x x))) x)
2.0ms
(sqrt (- 1.0 (* x x)))
17.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series29.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
7.0ms
(/ (sqrt (- 1.0 (* x x))) x)
4.0ms
(sqrt (- 1.0 (* x x)))
6.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify60.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049721637
149721637

prune180.0ms

Filtered
87 candidates to 110 candidates (-26.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1082110
Fresh000
Picked101
Done000
Total1092111

Merged error: 0b

Counts
111 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (sqrt x))
0.3b
(/ 1.0 (sqrt x))
0.3b
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
0.5b
(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
116×times-frac
105×add-sqr-sqrt
102×*-un-lft-identity
95×sqrt-prod
82×add-cube-cbrt
22×associate-*l*
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
13×associate-*r* associate-/l*
9×distribute-lft-out
8×pow1
7×difference-of-squares
6×div-exp div-inv
5×unswap-sqr
4×cbrt-undiv prod-exp add-log-exp
3×frac-times pow-flip frac-2neg associate-*r/ clear-num
2×rec-exp flip3-+ sqrt-div 1-exp frac-add cbrt-unprod flip-+ associate-/l/
1×distribute-rgt-in sqrt-undiv distribute-rgt-out flip3-- distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down associate-*l/ *-commutative flip-- inv-pow
Counts
4 → 218
Calls
4 calls:
4.0ms
(/ 1 (sqrt x))
4.0ms
(/ 1.0 (sqrt x))
6.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
56.0ms
(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ 1 (sqrt x))
11.0ms
(/ 1.0 (sqrt x))
5.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
16.0ms
(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))

simplify64.0ms

Algorithm
egg-herbie
Counts
230 → 230
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051253075

prune292.0ms

Filtered
143 candidates to 230 candidates (-60.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2300230
Fresh011
Picked011
Done000
Total2302232

Merged error: 0b

Counts
232 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.1b
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.1b
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.5b
(* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
90×*-un-lft-identity
58×sqrt-prod
42×add-sqr-sqrt times-frac
30×sqrt-div distribute-lft-out
28×add-cube-cbrt
21×pow1
15×swap-sqr
14×div-inv
11×flip3-+ associate-*r* associate-*l* frac-add flip-+
10×sqrt-pow1 pow1/2
9×frac-times
7×distribute-rgt-out
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×unswap-sqr
3×associate-*r/ pow-prod-down associate-*l/ pow-sqr
2×rem-sqrt-square
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 140
Calls
4 calls:
18.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
21.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
18.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
44.0ms
(* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
13.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
10.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
8.0ms
(* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

simplify65.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049772964
149772964

prune271.0ms

Filtered
98 candidates to 152 candidates (-55.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1520152
Fresh000
Picked011
Done011
Total1522154

Merged error: 0b

Counts
154 → 2

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
11620

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.0s24119×body80nan
391.0ms8000×body80valid

Profiling

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