Details

Time bar (total: 13.5s)

sample49.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
16.0ms256×pre80true

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5001
51622
4330
3103
248
119
08

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ b a) (/ b a))
7.2b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite16.0ms

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)))))

series68.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* (/ b a) (/ b a))
21.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.9s

Counts
92 → 92
Iterations
IterNodes
done5000
22764
1418
0134

prune361.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 7.1b

localize38.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ b a) b)
7.2b
(sqrt (fabs (- 1 (/ (* (/ b a) b) a))))
7.6b
(/ (* (/ b a) b) a)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×add-cbrt-cube add-exp-log
14×*-un-lft-identity add-cube-cbrt
13×times-frac associate-*l*
6×pow1
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-/r* associate-*r* sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
2×associate-*l/ div-inv unswap-sqr
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down *-commutative associate-/l* associate-/l/
Counts
3 → 78
Calls
3 calls:
21.0ms
(* (/ b a) b)
2.0ms
(sqrt (fabs (- 1 (/ (* (/ b a) b) a))))
25.0ms
(/ (* (/ b a) b) a)

series95.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(* (/ b a) b)
20.0ms
(sqrt (fabs (- 1 (/ (* (/ b a) b) a))))
51.0ms
(/ (* (/ b a) b) a)

simplify1.4s

Counts
87 → 87
Iterations
IterNodes
done5001
21914
1272
0117

prune415.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 7.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (sqrt (fabs (- 1 (* (/ b a) (/ b a))))))
0.4b
(* (/ b a) (/ b a))
2.4b
(expm1 (log1p (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))
7.2b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×times-frac
33×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
12×pow1
5×expm1-log1p-u
4×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
3×sqrt-prod
1×pow2 frac-times rem-sqrt-square log1p-udef expm1-log1p sqrt-pow1 pow-plus pow1/2 pow-prod-down associate-*l/ log1p-expm1 associate-*r/ pow-sqr *-commutative pow-prod-up expm1-udef
Counts
4 → 110
Calls
4 calls:
1.0ms
(log1p (sqrt (fabs (- 1 (* (/ b a) (/ b a))))))
20.0ms
(* (/ b a) (/ b a))
0.0ms
(expm1 (log1p (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series170.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(log1p (sqrt (fabs (- 1 (* (/ b a) (/ b a))))))
39.0ms
(* (/ b a) (/ b a))
70.0ms
(expm1 (log1p (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))
16.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.6s

Counts
122 → 122
Iterations
IterNodes
done5001
22813
1458
0159

prune648.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 7.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))
7.2b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
11.6b
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))

rewrite63.0ms

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 pow3 rem-cbrt-cube
Counts
4 → 169
Calls
4 calls:
26.0ms
(* (/ b a) (/ b a))
27.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
6.0ms
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))

series118.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (/ b a) (/ b a))
52.0ms
(* (/ b a) (/ b a))
15.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
14.0ms
(cbrt (* (fabs (- 1 (* (/ b a) (/ b a)))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))

simplify1.9s

Counts
181 → 181
Iterations
IterNodes
done5002
22781
1437
0146

prune909.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 7.0b

regimes103.0ms

Accuracy

0% (0.1b remaining)

Error of 7.5b against oracle of 7.4b and baseline of 7.5b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample1.2s

Algorithm
intervals
Results
745.0ms8000×body80valid
333.0ms8000×pre80true