Details

Time bar (total: 23.0s)

sample44.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
6.0ms256×pre80true

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5017
62408
5767
4228
385
243
118
08

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize30.0ms

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)))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×times-frac
33×*-un-lft-identity
32×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×sqrt-prod
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 → 94
Calls
3 calls:
12.0ms
(- 1 (* (/ b a) (/ b a)))
45.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series181.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- 1 (* (/ b a) (/ b a)))
75.0ms
(* (/ b a) (/ b a))
43.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify6.3s

Counts
103 → 103
Iterations
IterNodes
done5015
34664
21576
1470
0151

prune818.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.8b

localize35.0ms

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)))))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×*-un-lft-identity
8×associate-*r*
6×pow1 add-cube-cbrt
5×add-exp-log add-cbrt-cube add-log-exp
4×frac-times flip3-+ associate-*l* flip-+ difference-of-squares
3×flip3-- sqrt-prod flip--
2×distribute-rgt-in sub-neg distribute-lft-in times-frac 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 → 61
Calls
3 calls:
25.0ms
(+ 1 (/ b a))
199.0ms
(* (+ 1 (/ b a)) (- 1 (/ b a)))
2.0ms
(sqrt (fabs (* (+ 1 (/ b a)) (- 1 (/ b a)))))

series116.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ 1 (/ b a))
70.0ms
(* (+ 1 (/ b a)) (- 1 (/ b a)))
24.0ms
(sqrt (fabs (* (+ 1 (/ b a)) (- 1 (/ b a)))))

simplify4.5s

Counts
70 → 70
Iterations
IterNodes
done5000
32942
21093
1293
0103

prune515.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 7.8b

localize62.0ms

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)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-div
6×add-sqr-sqrt
5×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log add-cbrt-cube 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 → 49
Calls
4 calls:
2.0ms
(sqrt (fabs (- 1 (* (* (cbrt (* (/ b a) (/ b a))) (cbrt (* (/ b a) (/ b a)))) (cbrt (* (/ b a) (/ b a)))))))
24.0ms
(cbrt (* (/ b a) (/ b a)))
16.0ms
(cbrt (* (/ b a) (/ b a)))
16.0ms
(cbrt (* (/ b a) (/ b a)))

series552.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (fabs (- 1 (* (* (cbrt (* (/ b a) (/ b a))) (cbrt (* (/ b a) (/ b a)))) (cbrt (* (/ b a) (/ b a)))))))
171.0ms
(cbrt (* (/ b a) (/ b a)))
182.0ms
(cbrt (* (/ b a) (/ b a)))
161.0ms
(cbrt (* (/ b a) (/ b a)))

simplify4.4s

Counts
61 → 61
Iterations
IterNodes
done5000
53920
41246
3493
2231
1124
073

prune569.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 7.8b

regimes120.0ms

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
564.0ms8000×body80valid
358.0ms8000×pre80true