Details

Time bar (total: 5.0s)

analyze579.0ms

Algorithm
search
sampling

Space saved by range analysis: 99.998267%

Space saved by search: 99.999093%

Guaranteed chance to sample good point: 88.065532%

sample42.0ms

Algorithm
intervals
Results
15.0ms159×body160valid
8.0ms265×pre80true
6.0ms39×body320valid
3.0ms58×body80valid
0.0ms9×body80nan

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: 43.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
37.9b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite32.0ms

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:
5.0ms
(- (* 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)
8.0ms
(+ (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)
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify52.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0417711
11922611
25002602

prune119.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New81485
Fresh000
Picked101
Done000
Total82486

Merged error: 0.3b

Counts
86 → 4

localize16.0ms

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

rewrite47.0ms

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)
17.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
5.0ms
(* 3.0 (* a c))
13.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series116.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
45.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
4.0ms
(* 3.0 (* a c))
62.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify116.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
06282481
133222152
250012149

prune292.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1609169
Fresh213
Picked101
Done000
Total16310173

Merged error: 0.0b

Counts
173 → 10

localize16.0ms

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

rewrite47.0ms

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:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
18.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
13.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series116.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
4.0ms
(* (* 3.0 a) c)
46.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
62.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify107.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
05712482
130602153
250022141

prune275.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1663169
Fresh369
Picked101
Done000
Total1709179

Merged error: 0b

Counts
179 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(* (* 3.0 a) c)
0.3b
(/ (* 3.0 a) (/ 3.0 c))
0.4b
(* (/ (* 3.0 a) (/ 3.0 c)) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
367×times-frac
256×add-sqr-sqrt
245×*-un-lft-identity
160×add-cube-cbrt
145×add-exp-log
95×add-cbrt-cube
88×associate-*r*
72×div-exp
42×cbrt-undiv distribute-lft-out-- difference-of-squares
40×prod-exp
28×associate-/l*
26×cbrt-unprod
21×distribute-rgt-neg-in sqrt-prod
19×associate-*l*
16×associate-/r* associate-/r/
14×div-inv
11×pow1
7×flip3-- flip--
6×rec-exp 1-exp
4×pow-prod-down add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 351
Calls
4 calls:
16.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
5.0ms
(* (* 3.0 a) c)
7.0ms
(/ (* 3.0 a) (/ 3.0 c))
56.0ms
(* (/ (* 3.0 a) (/ 3.0 c)) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series96.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
3.0ms
(* (* 3.0 a) c)
4.0ms
(/ (* 3.0 a) (/ 3.0 c))
50.0ms
(* (/ (* 3.0 a) (/ 3.0 c)) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify76.0ms

Algorithm
egg-herbie
Counts
363 → 363
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015025370
150014722

prune550.0ms

Filtered
199 candidates to 363 candidates (-82.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3612363
Fresh358
Picked011
Done000
Total3648372

Merged error: 0b

Counts
372 → 8

regimes311.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01712
11712

end0.0ms

analyze571.0ms

Algorithm
search
sampling

Space saved by range analysis: 99.998267%

Space saved by search: 99.999093%

Guaranteed chance to sample good point: 88.065532%

sample1.2s

Algorithm
intervals
Results
469.0ms4839×body160valid
242.0ms8497×pre80true
201.0ms1364×body320valid
94.0ms1797×body80valid
24.0ms497×body80nan

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