Details

Time bar (total: 48.4s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
167
done67

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) 1.0)
14.8b
(/ 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:
3.0ms
(+ (* x x) 1.0)
6.0ms
(/ x (+ (* x x) 1.0))

series92.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* x x) 1.0)
60.0ms
(/ x (+ (* x x) 1.0))

simplify2.0s

Counts
46 → 46
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
085552
1200530
2694474
33081474
done5000474

prune87.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
0.0b
(/ x (sqrt (+ (* x x) 1.0)))
14.7b
(sqrt (+ (* x x) 1.0))
14.7b
(sqrt (+ (* x x) 1.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×associate-/r*
11×add-exp-log flip3-+ add-cbrt-cube flip-+
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 262
Calls
4 calls:
22.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
6.0ms
(/ x (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
5.0ms
(sqrt (+ (* x x) 1.0))

series261.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
118.0ms
(/ x (sqrt (+ (* x x) 1.0)))
41.0ms
(sqrt (+ (* x x) 1.0))
46.0ms
(sqrt (+ (* x x) 1.0))

simplify1.4s

Counts
274 → 274
Iterations

Useful iterations: 2 (259.0ms)

IterNodesCost
03367324
17836480
228245885
done50015885

prune438.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* x x))
0.1b
(/ (/ 1 (sqrt 1)) (/ (+ 1.0 (* x x)) x))
14.8b
(/ (+ 1.0 (* x x)) x)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
754×times-frac
354×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
126×sqrt-prod
39×div-inv
27×add-exp-log
25×associate-/l*
17×div-exp add-cbrt-cube
16×associate-/r*
9×cbrt-undiv
5×add-log-exp
3×pow1 associate-/l/
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+
1×+-commutative sum-log associate-/r/
Counts
3 → 385
Calls
3 calls:
2.0ms
(+ 1.0 (* x x))
17.0ms
(/ (/ 1 (sqrt 1)) (/ (+ 1.0 (* x x)) x))
7.0ms
(/ (+ 1.0 (* x x)) x)

series172.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ 1.0 (* x x))
61.0ms
(/ (/ 1 (sqrt 1)) (/ (+ 1.0 (* x x)) x))
73.0ms
(/ (+ 1.0 (* x x)) x)

simplify844.0ms

Counts
394 → 394
Iterations

Useful iterations: done (830.0ms)

IterNodesCost
056110456
116888728
done50006474

prune211.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 1 (sqrt 1)) (+ x (* 1.0 (/ 1 x))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
76×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×sqrt-prod
22×associate-/l*
10×add-exp-log
6×div-exp add-cbrt-cube
5×div-inv
3×cbrt-undiv associate-/r*
2×associate-/r/
1×pow1 rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/ add-log-exp
Counts
1 → 110
Calls
1 calls:
14.0ms
(/ (/ 1 (sqrt 1)) (+ x (* 1.0 (/ 1 x))))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ (/ 1 (sqrt 1)) (+ x (* 1.0 (/ 1 x))))

simplify42.4s

Counts
113 → 113
Iterations

Useful iterations: 2 (210.0ms)

IterNodesCost
02032728
15002317
214241368
330941368
done50001368

prune82.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11312
done1312

end0.0ms

sample223.0ms

Algorithm
intervals
Results
136.0ms8000×body80valid