Details

Time bar (total: 18.5s)

sample64.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
6.0ms252×pre80false
6.0ms256×pre80true

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0813
11813
24711
39811
418711
533211
649811
7140811
done500111

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
11.7b
(/ (- (* a a) (* b b)) (* a a))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×pow1 times-frac associate-/l*
3×sqrt-prod difference-of-squares
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 52
Calls
3 calls:
9.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
29.0ms
(/ (- (* a a) (* b b)) (* a a))

series127.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (* a a) (* b b))
33.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
59.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify2.3s

Counts
61 → 61
Iterations

Useful iterations: 3 (923.0ms)

IterNodesCost
090893
1218771
2639676
33171668
done5001668

prune215.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a (* b (/ b a))) a)
0.0b
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
0.1b
(* b (/ b a))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
6×pow1
3×associate-*l* associate-/r* sqrt-prod associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
3 → 75
Calls
3 calls:
14.0ms
(/ (- a (* b (/ b a))) a)
1.0ms
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
14.0ms
(* b (/ b a))

series160.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(/ (- a (* b (/ b a))) a)
39.0ms
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
36.0ms
(* b (/ b a))

simplify2.6s

Counts
84 → 84
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01321004
1288942
2760859
32019857
done5000853

prune309.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (sqrt (fabs (/ (- a (* b (/ b a))) a)))))
0.0b
(/ (- a (* b (/ b a))) a)
0.0b
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
0.1b
(* b (/ b a))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
11×add-exp-log add-cbrt-cube
8×pow1
7×log-pow
6×exp-prod sqrt-prod
4×add-log-exp
3×log-prod associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 div-sub associate-*r/ rem-log-exp pow-prod-down clear-num *-commutative flip--
Counts
4 → 93
Calls
4 calls:
8.0ms
(log (exp (sqrt (fabs (/ (- a (* b (/ b a))) a)))))
21.0ms
(/ (- a (* b (/ b a))) a)
1.0ms
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
14.0ms
(* b (/ b a))

series131.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(log (exp (sqrt (fabs (/ (- a (* b (/ b a))) a)))))
55.0ms
(/ (- a (* b (/ b a))) a)
17.0ms
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
37.0ms
(* b (/ b a))

simplify2.4s

Counts
105 → 105
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01571363
13171238
27931134
320591132
done50001128

prune395.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (* (/ (sqrt (- a (* b (/ b a)))) (sqrt a)) (/ (sqrt (- a (* b (/ b a)))) (sqrt a)))))
0.0b
(* (/ (sqrt (- a (* b (/ b a)))) (sqrt a)) (/ (sqrt (- a (* b (/ b a)))) (sqrt a)))
0.1b
(* b (/ b a))
0.1b
(* b (/ b a))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
302×add-sqr-sqrt
260×times-frac
243×sqrt-prod
137×add-cube-cbrt *-un-lft-identity
68×swap-sqr
66×associate-*r*
46×associate-*l*
29×unswap-sqr
26×add-exp-log add-cbrt-cube
16×pow1
8×prod-exp cbrt-unprod
6×cbrt-undiv div-exp div-inv
4×sqrt-undiv add-log-exp
3×associate-*r/ pow-prod-down *-commutative
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 sqrt-unprod associate-*l/ rem-square-sqrt pow-sqr pow-prod-up
Counts
4 → 276
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (sqrt (- a (* b (/ b a)))) (sqrt a)) (/ (sqrt (- a (* b (/ b a)))) (sqrt a)))))
125.0ms
(* (/ (sqrt (- a (* b (/ b a)))) (sqrt a)) (/ (sqrt (- a (* b (/ b a)))) (sqrt a)))
27.0ms
(* b (/ b a))
28.0ms
(* b (/ b a))

series181.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(sqrt (fabs (* (/ (sqrt (- a (* b (/ b a)))) (sqrt a)) (/ (sqrt (- a (* b (/ b a)))) (sqrt a)))))
111.0ms
(* (/ (sqrt (- a (* b (/ b a)))) (sqrt a)) (/ (sqrt (- a (* b (/ b a)))) (sqrt a)))
26.0ms
(* b (/ b a))
22.0ms
(* b (/ b a))

simplify2.3s

Counts
288 → 288
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02748823
17857593
223875888
done50005443

prune858.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11113
done1113

end0.0ms

sample1.4s

Algorithm
intervals
Results
466.0ms8000×body80valid
198.0ms8293×pre80false
186.0ms8000×pre80true