Details

Time bar (total: 6.0s)

sample71.0ms

Algorithm
intervals
Results
15.0ms535×pre80true
13.0ms105×body320valid
12.0ms279×body80nan
8.0ms101×body160valid
3.0ms16×body640valid
1.0ms34×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 50.4b

Counts
2 → 1

localize14.0ms

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)
26.4b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite29.0ms

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

series287.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
142.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
19.0ms
(* (* 3.0 a) c)
82.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0417711
11922611
25002602

prune171.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh000
Picked101
Done000
Total80686

Merged error: 0.2b

Counts
86 → 6

localize14.0ms

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)))))

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:
5.0ms
(* 3.0 (* a c))
5.0ms
(* (* 3.0 a) c)
20.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series567.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (* a c))
26.0ms
(* (* 3.0 a) c)
234.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
286.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify121.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
06282481
133222152
250012149

prune381.0ms

Filtered
169 candidates to 104 candidates (61.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1609169
Fresh415
Picked101
Done000
Total16510175

Merged error: 0b

Counts
175 → 10

localize12.0ms

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)))))

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

series574.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
20.0ms
(* (* 3.0 a) c)
242.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
293.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify108.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
05712483
130602153
250022141

prune333.0ms

Filtered
169 candidates to 102 candidates (60.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1672169
Fresh279
Picked011
Done000
Total16910179

Merged error: 0b

Counts
179 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log add-cbrt-cube
26×times-frac
24×prod-exp cbrt-unprod
19×cbrt-undiv div-exp
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×pow1
10×associate-*r/ associate-/r/
8×associate-/l*
6×associate-*r* pow-prod-down div-inv
5×flip3-- flip--
4×associate-/r* add-log-exp
2×frac-2neg associate-*l* clear-num *-commutative
1×associate-/l/
Counts
4 → 119
Calls
4 calls:
15.0ms
(/ (/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
5.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
14.0ms
(/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series564.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(/ (/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
19.0ms
(* (* 3.0 a) c)
26.0ms
(* (* 3.0 a) c)
286.0ms
(/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify114.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
05821851
139051423
250011398

prune226.0ms

Filtered
131 candidates to 79 candidates (60.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1283131
Fresh358
Picked101
Done101
Total1338141

Merged error: 0b

Counts
141 → 8

regimes148.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01712
11712

end0.0ms

sample2.0s

Algorithm
intervals
Results
469.0ms3673×body320valid
469.0ms16164×pre80true
348.0ms8164×body80nan
249.0ms2909×body160valid
78.0ms466×body640valid
45.0ms952×body80valid

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