Details

Time bar (total: 4.1s)

analyze270.0ms

Algorithm
search

sample50.0ms

Algorithm
intervals
Results
16.0ms113×body320valid
9.0ms98×body160valid
8.0ms282×pre80true
3.0ms16×body640valid
1.0ms29×body80valid
1.0ms26×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 52.5b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
25.8b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×times-frac associate-/l*
4×prod-exp cbrt-unprod
3×distribute-rgt-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
11.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
26.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
3.0ms
(* (* 3.0 a) c)
16.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0417711
11922611
25002602

prune133.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh000
Picked101
Done000
Total81586

Merged error: 0.1b

Counts
86 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down associate-/r/
4×associate-*r* associate-*l* div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
13.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* (* 3.0 a) c)
5.0ms
(* 3.0 (* a c))
17.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series110.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
4.0ms
(* (* 3.0 a) c)
3.0ms
(* 3.0 (* a c))
44.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify116.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
06282481
133222152
250022149

prune283.0ms

Filtered
104 candidates to 169 candidates (-62.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1636169
Fresh314
Picked011
Done000
Total1668174

Merged error: 0.0b

Counts
174 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* (* 3.0 a) c)
0.3b
(* (* 3.0 a) c)
0.4b
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*r* pow-prod-down associate-/r/
4×div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg associate-*l* clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
13.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
7.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
17.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series110.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(* (* 3.0 a) c)
4.0ms
(* (* 3.0 a) c)
44.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify105.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
05712482
130602153
250032150

prune276.0ms

Filtered
102 candidates to 169 candidates (-65.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1672169
Fresh156
Picked101
Done011
Total1698177

Merged error: 0b

Counts
177 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
0.4b
(/ (* 1 (/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))) (* 3.0 a))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
118×add-exp-log
77×add-cbrt-cube
68×times-frac
52×div-exp
51×add-sqr-sqrt *-un-lft-identity
44×prod-exp
30×cbrt-undiv
27×add-cube-cbrt
26×associate-/r*
25×cbrt-unprod
12×distribute-lft-out-- difference-of-squares
10×1-exp
9×pow1
6×distribute-rgt-neg-in sqrt-prod add-log-exp
4×div-inv
3×associate-*r* pow-prod-down
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log associate-*r/ associate-*l* associate-/r/ *-commutative flip-- associate-/l/
Counts
4 → 148
Calls
4 calls:
4.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
15.0ms
(/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
21.0ms
(/ (* 1 (/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))) (* 3.0 a))

series122.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
3.0ms
(* (* 3.0 a) c)
58.0ms
(/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
52.0ms
(/ (* 1 (/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))) (* 3.0 a))

simplify46.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08732226
150011781

prune171.0ms

Filtered
83 candidates to 160 candidates (-92.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1591160
Fresh246
Picked011
Done011
Total1617168

Merged error: 0b

Counts
168 → 7

regimes240.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02113
12313
22313

end0.0ms

analyze265.0ms

Algorithm
search

sample1.5s

Algorithm
intervals
Results
532.0ms3685×body320valid
282.0ms2899×body160valid
265.0ms8857×pre80true
106.0ms539×body640valid
43.0ms877×body80valid
43.0ms857×body80nan

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