Details

Time bar (total: 4.3s)

sample84.0ms

Algorithm
intervals
Results
16.0ms572×pre80true
15.0ms155×body160valid
15.0ms316×body80nan
5.0ms39×body320valid
3.0ms62×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 42.7b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
37.7b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite28.0ms

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))
5.0ms
(* (* 3.0 a) c)
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
3.0ms
(* (* 3.0 a) c)
28.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0417711
11922611
25001602

prune123.0ms

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: 0.3b

Counts
86 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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:
5.0ms
(* (* 3.0 a) c)
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
4.0ms
(* 3.0 (* a c))
18.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series111.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
56.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(* 3.0 (* a c))
48.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify119.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
06282481
133222152
250022149

prune283.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1618169
Fresh314
Picked101
Done000
Total1659174

Merged error: 0b

Counts
174 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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:
6.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
12.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
15.0ms
(/ (/ (+ 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:
3.0ms
(* (* 3.0 a) c)
3.0ms
(* (* 3.0 a) c)
58.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
45.0ms
(/ (/ (+ 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

prune270.0ms

Filtered
103 candidates to 169 candidates (-64.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1681169
Fresh178
Picked011
Done000
Total1699178

Merged error: 0b

Counts
178 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
19×pow1
13×add-sqr-sqrt *-un-lft-identity
12×prod-exp cbrt-unprod
11×associate-*r*
9×add-cube-cbrt pow-prod-down
5×associate-*l*
4×associate-*r/ add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×distribute-rgt-neg-in frac-2neg flip3-+ clear-num associate-/r* sqrt-prod flip-+ div-inv
Counts
4 → 91
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
4.0ms
(* 3.0 (* a c))
12.0ms
(* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
16.0ms
(/ (+ 0 (* 3.0 (* a c))) (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series81.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
4.0ms
(* 3.0 (* a c))
30.0ms
(* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
44.0ms
(/ (+ 0 (* 3.0 (* a c))) (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify118.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
0492981
13241770
25001765

prune118.0ms

Filtered
63 candidates to 103 candidates (-63.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh077
Picked011
Done011
Total1039112

Merged error: 0b

Counts
112 → 9

regimes283.0ms

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
01813
12013
22013

end0.0ms

sample2.2s

Algorithm
intervals
Results
466.0ms16342×pre80true
457.0ms4851×body160valid
395.0ms8342×body80nan
188.0ms1317×body320valid
92.0ms1832×body80valid

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