Details

Time bar (total: 23.2s)

sample51.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
11.0ms256×pre80true

simplify5.4s

Counts
1 → 1
Iterations
IterNodes
85653
71499
6631
5347
4168
388
244
119
08

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ b a) (/ b a))
8.6b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite15.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 86
Calls
2 calls:
13.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series43.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (/ b a) (/ b a))
14.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.1s

Counts
92 → 92
Iterations
IterNodes
34450
21254
1399
0134

prune872.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 8.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))
8.6b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
8.6b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
88×add-sqr-sqrt
80×times-frac
62×*-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
26×swap-sqr associate-*r* associate-*l*
20×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
6×sqrt-prod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×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
4 → 172
Calls
4 calls:
12.0ms
(* (/ b a) (/ b a))
17.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series136.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (/ b a) (/ b a))
44.0ms
(* (/ b a) (/ b a))
31.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
18.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.9s

Counts
184 → 184
Iterations
IterNodes
34450
21254
1399
0134

prune2.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 8.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt b) a)
0.3b
(* (/ (sqrt b) a) (/ b a))
1.9b
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
8.6b
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
73×add-sqr-sqrt
70×times-frac
59×add-cbrt-cube
53×*-un-lft-identity add-cube-cbrt
44×associate-*l*
35×sqrt-prod
31×prod-exp
27×div-exp
22×cbrt-unprod
18×cbrt-undiv
14×associate-*r*
12×pow1
6×frac-times associate-*r/ associate-/l* unswap-sqr
5×1-exp
4×expm1-log1p-u pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×associate-/r*
2×*-commutative
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
Counts
4 → 190
Calls
4 calls:
5.0ms
(/ (sqrt b) a)
18.0ms
(* (/ (sqrt b) a) (/ b a))
31.0ms
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
1.0ms
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(/ (sqrt b) a)
74.0ms
(* (/ (sqrt b) a) (/ b a))
56.0ms
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
23.0ms
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

simplify950.0ms

Counts
202 → 202
Iterations
IterNodes
22504
1871
0292

prune2.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 8.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))
8.6b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
15.1b
(cbrt (* (sqrt (fabs (- 1 (* (/ b a) (/ b a))))) (fabs (- 1 (* (/ b a) (/ b a))))))

rewrite40.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 cube-unmult rem-cbrt-cube
Counts
4 → 169
Calls
4 calls:
14.0ms
(* (/ b a) (/ b a))
18.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
4.0ms
(cbrt (* (sqrt (fabs (- 1 (* (/ b a) (/ b a))))) (fabs (- 1 (* (/ b a) (/ b a))))))

series134.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (/ b a) (/ b a))
45.0ms
(* (/ b a) (/ b a))
21.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
16.0ms
(cbrt (* (sqrt (fabs (- 1 (* (/ b a) (/ b a))))) (fabs (- 1 (* (/ b a) (/ b a))))))

simplify2.2s

Counts
181 → 181
Iterations
IterNodes
34545
21346
1418
0146

prune2.8s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 8.5b

regimes117.0ms

Accuracy

0% (0.0b remaining)

Error of 7.5b against oracle of 7.5b and baseline of 7.5b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
210
110
08

end0.0ms

sample1.4s

Algorithm
intervals
Results
886.0ms8000×body80valid
297.0ms8000×pre80true