Details

Time bar (total: 13.7s)

sample89.0ms

Algorithm
intervals
Results
17.0ms111×body320valid
14.0ms285×body80nan
13.0ms541×pre80true
10.0ms98×body160valid
4.0ms17×body640valid
2.0ms30×body80valid

simplify123.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
27.0b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite199.0ms

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
pow1
add-log-exp
fma-neg
times-frac associate-/l* difference-of-squares
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
flip3-- associate-*r* pow-prod-down flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
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))
107.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
19.0ms
(* (* 3.0 a) c)
54.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series419.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (* b b) (* (* 3.0 a) c))
191.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
35.0ms
(* (* 3.0 a) c)
121.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.4s

Counts
121 → 121
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02012338
15432075
231531752
done50001750

prune610.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.8b

localize5.0ms

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

prune95.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.8b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

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
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 84
Calls
3 calls:
14.0ms
(/ (* a c) b)
27.0ms
(* -1.5 (/ (* a c) b))
33.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series119.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (* a c) b)
49.0ms
(* -1.5 (/ (* a c) b))
47.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01291138
14011097
22851877
done5001829

prune372.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.8b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
24×prod-exp cbrt-unprod
13×pow1
cbrt-undiv div-exp
pow-prod-down
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-*r* associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp
*-commutative
clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
3 → 73
Calls
3 calls:
26.0ms
(* (* 3.0 a) b)
24.0ms
(* -1.5 (* a c))
45.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series108.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (* 3.0 a) b)
37.0ms
(* -1.5 (* a c))
45.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify1.7s

Counts
82 → 82
Iterations

Useful iterations: 2 (534.0ms)

IterNodesCost
01131002
1364967
23392709
done5000709

prune260.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.7b

regimes867.0ms

Accuracy

0% (3.6b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.5s3689×body320valid
1.1s8160×body80nan
719.0ms16160×pre80true
495.0ms2882×body160valid
157.0ms533×body640valid
66.0ms896×body80valid