Details

Time bar (total: 15.8s)

sample33.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
5.0ms256×pre80true

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5216
62493
5808
4236
388
244
119
08

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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 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 → 84
Calls
2 calls:
34.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series55.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* (/ b a) (/ b a))
17.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.7s

Counts
90 → 90
Iterations
IterNodes
done5010
33860
21311
1405
0132

prune403.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 11.5b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
337×times-frac
238×add-sqr-sqrt
179×*-un-lft-identity add-cube-cbrt
116×sqrt-prod
82×associate-*l*
32×add-cbrt-cube add-exp-log
22×associate-*r*
17×div-inv
16×associate-/l*
15×unswap-sqr
13×cbrt-undiv div-exp
12×associate-/r*
7×pow1
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 315
Calls
4 calls:
120.0ms
(* (/ (/ b a) (sqrt a)) (/ b (sqrt a)))
9.0ms
(/ b (sqrt a))
20.0ms
(/ (/ b a) (sqrt a))
2.0ms
(sqrt (fabs (- 1 (* (/ (/ b a) (sqrt a)) (/ b (sqrt a))))))

series267.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (/ (/ b a) (sqrt a)) (/ b (sqrt a)))
59.0ms
(/ b (sqrt a))
105.0ms
(/ (/ b a) (sqrt a))
32.0ms
(sqrt (fabs (- 1 (* (/ (/ b a) (sqrt a)) (/ b (sqrt a))))))

simplify2.3s

Counts
327 → 327
Iterations
IterNodes
done5006
24151
11171
0393

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 11.5b

localize22.0ms

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)))))))

rewrite73.0ms

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 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 pow3 rem-cbrt-cube
Counts
4 → 165
Calls
4 calls:
20.0ms
(* (/ b a) (/ b a))
33.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
8.0ms
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (/ b a) (/ b a))
47.0ms
(* (/ b a) (/ b a))
17.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
22.0ms
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))

simplify2.9s

Counts
177 → 177
Iterations
IterNodes
done5020
33987
21402
1419
0143

prune981.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 11.5b

regimes128.0ms

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

sample850.0ms

Algorithm
intervals
Results
444.0ms8000×body80valid
207.0ms8000×pre80true