Details

Time bar (total: 24.7s)

sample40.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
6.0ms256×pre80true

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
done5087
62542
5811
4236
388
244
119
08

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1 (* (/ b a) (/ b a)))
0.4b
(* (/ b a) (/ b a))
7.4b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×times-frac
35×*-un-lft-identity
34×add-cube-cbrt
15×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
11×pow1
5×add-log-exp
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
3×expm1-log1p-u fma-neg prod-diff sqrt-prod log1p-expm1-u
2×difference-of-squares
1×pow2 frac-times sub-neg rem-sqrt-square flip3-- sqrt-pow1 pow-plus pow1/2 diff-log associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up flip--
Counts
3 → 106
Calls
3 calls:
14.0ms
(- 1 (* (/ b a) (/ b a)))
41.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series165.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- 1 (* (/ b a) (/ b a)))
52.0ms
(* (/ b a) (/ b a))
45.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify6.0s

Counts
115 → 115
Iterations
IterNodes
done5000
34839
21622
1493
0164

prune731.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.8b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1 (/ b a))
0.2b
(* (+ 1 (/ b a)) (- 1 (/ b a)))
7.4b
(sqrt (fabs (* (+ 1 (/ b a)) (- 1 (/ b a)))))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
83×*-un-lft-identity
78×prod-diff
75×add-cube-cbrt
56×times-frac
41×distribute-rgt-in distribute-lft-in
8×associate-*r*
6×pow1 div-inv
5×add-exp-log add-cbrt-cube add-log-exp
4×frac-times flip3-+ associate-*l* flip-+ difference-of-squares
3×expm1-log1p-u flip3-- fma-def sqrt-prod flip-- log1p-expm1-u
2×sub-neg associate-*r/ associate-*l/ distribute-lft-out
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
3 → 148
Calls
3 calls:
27.0ms
(+ 1 (/ b a))
219.0ms
(* (+ 1 (/ b a)) (- 1 (/ b a)))
3.0ms
(sqrt (fabs (* (+ 1 (/ b a)) (- 1 (/ b a)))))

series122.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ 1 (/ b a))
71.0ms
(* (+ 1 (/ b a)) (- 1 (/ b a)))
28.0ms
(sqrt (fabs (* (+ 1 (/ b a)) (- 1 (/ b a)))))

simplify4.9s

Counts
157 → 157
Iterations
IterNodes
done5000
22841
11109
0326

prune1000.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 7.8b

localize71.0ms

Local error

Found 4 expressions with local error:

7.4b
(sqrt (fabs (- 1 (* (* (cbrt (* (/ b a) (/ b a))) (cbrt (* (/ b a) (/ b a)))) (cbrt (* (/ b a) (/ b a)))))))
14.1b
(cbrt (* (/ b a) (/ b a)))
14.1b
(cbrt (* (/ b a) (/ b a)))
14.1b
(cbrt (* (/ b a) (/ b a)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-div
6×add-sqr-sqrt
5×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod frac-times pow1/3 associate-*r/ associate-*l/ sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 57
Calls
4 calls:
3.0ms
(sqrt (fabs (- 1 (* (* (cbrt (* (/ b a) (/ b a))) (cbrt (* (/ b a) (/ b a)))) (cbrt (* (/ b a) (/ b a)))))))
13.0ms
(cbrt (* (/ b a) (/ b a)))
15.0ms
(cbrt (* (/ b a) (/ b a)))
18.0ms
(cbrt (* (/ b a) (/ b a)))

series529.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(sqrt (fabs (- 1 (* (* (cbrt (* (/ b a) (/ b a))) (cbrt (* (/ b a) (/ b a)))) (cbrt (* (/ b a) (/ b a)))))))
158.0ms
(cbrt (* (/ b a) (/ b a)))
170.0ms
(cbrt (* (/ b a) (/ b a)))
164.0ms
(cbrt (* (/ b a) (/ b a)))

simplify4.4s

Counts
69 → 69
Iterations
IterNodes
done5000
54052
41269
3514
2241
1131
077

prune653.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 7.8b

regimes115.0ms

Accuracy

0% (0.0b remaining)

Error of 7.8b against oracle of 7.8b and baseline of 7.8b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample1.2s

Algorithm
intervals
Results
607.0ms8000×body80valid
313.0ms8000×pre80true