Details

Time bar (total: 14.8s)

sample101.0ms

Algorithm
intervals
Results
27.0ms339×body80nan
17.0ms154×body160valid
15.0ms595×pre80true
7.0ms50×body320valid
3.0ms52×body80valid

simplify179.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
012324
122324
240284
375284
491284
599284
6101284
7102284
done102284

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
38.3b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
19×prod-diff
15×sqrt-prod
14×add-cbrt-cube add-exp-log
9×pow1
8×add-log-exp
7×fma-neg
6×times-frac associate-/l* difference-of-squares
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×flip3-- associate-*r* pow-prod-down flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
13.0ms
(- (* b b) (* (* 3.0 a) c))
13.0ms
(* (* 3.0 a) c)
118.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
72.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series374.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- (* b b) (* (* 3.0 a) c))
25.0ms
(* (* 3.0 a) c)
167.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
113.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.7s

Counts
121 → 121
Iterations

Useful iterations: done (2.7s)

IterNodesCost
020141813
154037326
2191833402
done500033337

prune785.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.4b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune116.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.4b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 84
Calls
3 calls:
8.0ms
(/ (* a c) b)
27.0ms
(* -1.5 (/ (* a c) b))
35.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series109.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (* a c) b)
54.0ms
(* -1.5 (/ (* a c) b))
25.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.7s

Counts
93 → 93
Iterations

Useful iterations: done (1.7s)

IterNodesCost
012922055
138619651
2222019011
done504218611

prune620.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 5.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(expm1 (log1p (/ (* a c) b)))
0.4b
(* -1.5 (expm1 (log1p (/ (* a c) b))))
0.4b
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u associate-/r* times-frac log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×clear-num frac-2neg div-inv associate-/l*
1×expm1-log1p pow-prod-down *-commutative expm1-udef unswap-sqr
Counts
4 → 77
Calls
4 calls:
14.0ms
(/ (* a c) b)
0.0ms
(expm1 (log1p (/ (* a c) b)))
10.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
28.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

series487.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (* a c) b)
134.0ms
(expm1 (log1p (/ (* a c) b)))
157.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
162.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

simplify1.9s

Counts
89 → 89
Iterations

Useful iterations: done (1.9s)

IterNodesCost
015428153
138719025
2179718288
done508616568

prune514.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 5.3b

regimes988.0ms

Accuracy

0% (7.0b remaining)

Error of 11.9b against oracle of 4.9b and baseline of 11.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1683
done683

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.2s4878×body160valid
615.0ms16278×pre80true
599.0ms8278×body80nan
516.0ms1804×body80valid
309.0ms1318×body320valid