Details

Time bar (total: 5.5s)

sample54.0ms

Algorithm
intervals
Results
11.0ms163×body160valid
11.0ms553×pre80true
9.0ms297×body80nan
4.0ms39×body320valid
2.0ms54×body80valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01217
12217
24216
38316
410216
511016
done11016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.2b

localize10.0ms

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))
41.3b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite78.0ms

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-exp-log add-cbrt-cube
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×frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(* (* 3.0 a) c)
41.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
24.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series249.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
104.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
79.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify782.0ms

Counts
121 → 121
Iterations

Useful iterations: done (779.0ms)

IterNodesCost
02012338
15172065
222201729
done50001728

prune265.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.9b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune37.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.9b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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

series69.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
20.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))
30.0ms
(* -1.5 (/ (* a c) b))

simplify760.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
01291138
13941097
22309813
done5000813

prune189.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 4.8b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u times-frac associate-/r* log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×frac-2neg clear-num div-inv associate-/l*
1×expm1-log1p pow-prod-down *-commutative expm1-udef unswap-sqr
Counts
4 → 77
Calls
4 calls:
3.0ms
(/ (* a c) b)
4.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))
3.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
0.0ms
(expm1 (log1p (/ (* a c) b)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* a c) b)
87.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))
98.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
89.0ms
(expm1 (log1p (/ (* a c) b)))

simplify575.0ms

Counts
89 → 89
Iterations

Useful iterations: done (569.0ms)

IterNodesCost
01541143
1390967
21950783
done5000780

prune161.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 4.8b

regimes379.0ms

Accuracy

13.5% (6.1b remaining)

Error of 11.1b against oracle of 5.0b and baseline of 12.1b

bsearch43.0ms

Steps
ItersRangePoint
6
0.00017659738910379716
0.0013183985859660308
0.00017936624356974993

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02138
12438
done2438

end0.0ms

sample1.4s

Algorithm
intervals
Results
315.0ms4846×body160valid
307.0ms16153×pre80true
262.0ms8153×body80nan
136.0ms1342×body320valid
60.0ms1812×body80valid