Details

Time bar (total: 5.0s)

sample84.0ms

Algorithm
intervals
Results
16.0ms267×body80nan
16.0ms114×body320valid
15.0ms523×pre80true
9.0ms95×body160valid
4.0ms21×body640valid
1.0ms26×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 52.7b

Counts
2 → 1

localize10.0ms

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)
27.3b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite30.0ms

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

series50.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3.0 a) c))
25.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
3.0ms
(* (* 3.0 a) c)
14.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0417711
11922611
25002602

prune123.0ms

Filtered
85 candidates to 59 candidates (30.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh000
Picked101
Done000
Total83386

Merged error: 0.1b

Counts
86 → 3

localize14.0ms

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))

rewrite43.0ms

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)
11.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* 3.0 (* a c))
16.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series106.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
55.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(* 3.0 (* a c))
45.0ms
(/ (/ (+ 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

prune291.0ms

Filtered
169 candidates to 104 candidates (38.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1636169
Fresh112
Picked101
Done000
Total1657172

Merged error: 0.0b

Counts
172 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
386×times-frac
280×add-sqr-sqrt
254×*-un-lft-identity
168×add-cube-cbrt
117×add-exp-log
88×associate-*r*
77×add-cbrt-cube
60×div-exp
42×distribute-lft-out-- difference-of-squares
35×cbrt-undiv
30×associate-/l*
29×prod-exp
27×associate-*l*
21×distribute-rgt-neg-in sqrt-prod
19×cbrt-unprod
18×div-inv
16×associate-/r/
11×pow1
10×associate-/r*
8×unswap-sqr
7×flip3-- flip--
5×rec-exp 1-exp
4×pow-prod-down add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 357
Calls
4 calls:
14.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
5.0ms
(* (* 3.0 a) c)
6.0ms
(/ 3.0 (/ 3.0 (* a c)))
54.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series87.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
3.0ms
(* (* 3.0 a) c)
3.0ms
(/ 3.0 (/ 3.0 (* a c)))
43.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify79.0ms

Algorithm
egg-herbie
Counts
369 → 369
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015295405
150014609

prune633.0ms

Filtered
369 candidates to 212 candidates (42.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3672369
Fresh156
Picked011
Done000
Total3688376

Merged error: 0b

Counts
376 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
53×add-sqr-sqrt *-un-lft-identity
29×add-cube-cbrt
23×add-exp-log add-cbrt-cube
14×associate-/l*
12×distribute-lft-out-- difference-of-squares
10×associate-/r* associate-/r/
9×pow1
7×cbrt-undiv div-exp
6×flip3-- distribute-rgt-neg-in sqrt-prod flip-- div-inv add-log-exp
5×prod-exp cbrt-unprod
3×associate-*r* pow-prod-down
2×frac-2neg clear-num
1×sub-neg diff-log associate-*l* *-commutative associate-/l/
Counts
4 → 133
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
11.0ms
(/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
15.0ms
(/ (/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
5.0ms
(* (* 3.0 a) c)

series105.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3.0 a) c))
53.0ms
(/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
40.0ms
(/ (/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
3.0ms
(* (* 3.0 a) c)

simplify83.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06121894
131561677
250021661

prune372.0ms

Filtered
145 candidates to 96 candidates (33.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1441145
Fresh156
Picked011
Done011
Total1458153

Merged error: 0b

Counts
153 → 8

regimes197.0ms

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
01710
11710

end0.0ms

sample2.4s

Algorithm
intervals
Results
512.0ms3584×body320valid
444.0ms15981×pre80true
394.0ms7981×body80nan
282.0ms2923×body160valid
101.0ms539×body640valid
48.0ms954×body80valid

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