Details

Time bar (total: 13.9s)

sample39.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
6.0ms256×pre80true

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5004
62324
5753
4228
385
243
118
08

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize23.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ b a) (/ b a))
11.0b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×times-frac
31×*-un-lft-identity add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
10×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
3×sqrt-prod
2×add-log-exp
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
2 → 80
Calls
2 calls:
22.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series65.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (/ b a) (/ b a))
22.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.8s

Counts
86 → 86
Iterations
IterNodes
done5006
34051
21385
1403
0128

prune448.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 11.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ b (sqrt a))
0.3b
(* (/ b (sqrt a)) (/ b a))
2.5b
(* (/ 1 (sqrt a)) (* (/ b (sqrt a)) (/ b a)))
11.0b
(sqrt (fabs (- 1 (* (/ 1 (sqrt a)) (* (/ b (sqrt a)) (/ b a))))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
73×add-sqr-sqrt
70×times-frac
59×add-cbrt-cube
53×*-un-lft-identity add-cube-cbrt
44×associate-*l*
40×prod-exp
35×sqrt-prod
31×div-exp
22×cbrt-unprod
18×cbrt-undiv
14×associate-*r*
12×pow1
6×frac-times associate-/r* associate-*r/ unswap-sqr
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ div-inv add-log-exp
3×associate-/l*
2×*-commutative
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
Counts
4 → 183
Calls
4 calls:
5.0ms
(/ b (sqrt a))
24.0ms
(* (/ b (sqrt a)) (/ b a))
45.0ms
(* (/ 1 (sqrt a)) (* (/ b (sqrt a)) (/ b a)))
1.0ms
(sqrt (fabs (- 1 (* (/ 1 (sqrt a)) (* (/ b (sqrt a)) (/ b a))))))

series230.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(/ b (sqrt a))
86.0ms
(* (/ b (sqrt a)) (/ b a))
44.0ms
(* (/ 1 (sqrt a)) (* (/ b (sqrt a)) (/ b a)))
18.0ms
(sqrt (fabs (- 1 (* (/ 1 (sqrt a)) (* (/ b (sqrt a)) (/ b a))))))

simplify2.3s

Counts
195 → 195
Iterations
IterNodes
done5000
22904
1844
0290

prune956.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 11.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))
11.0b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
16.8b
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
80×times-frac
61×*-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
26×swap-sqr associate-*r* associate-*l*
19×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×add-log-exp
3×sqrt-prod
2×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
1×cbrt-prod rem-sqrt-square sqrt-pow1 pow1/2 pow1/3 pow3 rem-cbrt-cube
Counts
4 → 157
Calls
4 calls:
33.0ms
(* (/ b a) (/ b a))
38.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
7.0ms
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))

series106.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (/ b a) (/ b a))
36.0ms
(* (/ b a) (/ b a))
23.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
17.0ms
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))

simplify3.1s

Counts
169 → 169
Iterations
IterNodes
done5098
34056
21304
1411
0137

prune967.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 11.5b

regimes65.0ms

Accuracy

0% (0.0b remaining)

Error of 8.3b against oracle of 8.3b and baseline of 8.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample763.0ms

Algorithm
intervals
Results
369.0ms8000×body80valid
239.0ms8000×pre80true