Details

Time bar (total: 11.6s)

sample89.0ms

Algorithm
intervals
Results
27.0ms142×body160valid
14.0ms291×body80nan
13.0ms547×pre80true
7.0ms114×body80valid

simplify153.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.6b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt fma-def add-log-exp
9×pow1
6×distribute-rgt-neg-in distribute-lft-out
5×times-frac associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative neg-mul-1 sub-neg flip3-- frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 93
Calls
4 calls:
23.0ms
(* (* 3.0 a) c)
13.0ms
(- (* b b) (* (* 3.0 a) c))
96.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
32.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series400.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* 3.0 a) c)
70.0ms
(- (* b b) (* (* 3.0 a) c))
185.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
122.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.1s

Counts
105 → 105
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01671559
14731480
227881251
done50011244

prune477.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.4b

localize4.0ms

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

prune83.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.4b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite95.0ms

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:
34.0ms
(* -1.5 (/ (* a c) b))
16.0ms
(/ (* a c) b)
40.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series136.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(* -1.5 (/ (* a c) b))
38.0ms
(/ (* a c) b)
38.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01291138
14011097
22854869
done5001853

prune407.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 9.3b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -1.5 (* a c))
0.4b
(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))
0.4b
(* (* -1.5 (* a c)) (/ 1 b))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
166×add-exp-log
94×add-cbrt-cube
88×prod-exp
46×cbrt-unprod
44×div-exp
23×cbrt-undiv
17×pow1
14×associate-*r*
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×times-frac
9×rec-exp 1-exp pow-prod-down
4×associate-*l*
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r/ un-div-inv *-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
3 → 124
Calls
3 calls:
33.0ms
(* -1.5 (* a c))
88.0ms
(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))
114.0ms
(* (* -1.5 (* a c)) (/ 1 b))

series119.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* -1.5 (* a c))
39.0ms
(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))
43.0ms
(* (* -1.5 (* a c)) (/ 1 b))

simplify807.0ms

Counts
133 → 133
Iterations

Useful iterations: done (800.0ms)

IterNodesCost
01872096
16651900
done50011325

prune266.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 9.2b

regimes933.0ms

Accuracy

47.2% (7.1b remaining)

Error of 16.3b against oracle of 9.2b and baseline of 22.7b

bsearch20.0ms

Steps
ItersRangePoint
2
3458.0513525580413
3728.980047040245
3491.9174393683165

simplify12.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02240
12940
23740
done3740

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.1s16685×pre80true
678.0ms8685×body80nan
645.0ms4470×body160valid
314.0ms3530×body80valid