Details

Time bar (total: 7.2s)

sample82.0ms

Algorithm
intervals
Results
17.0ms114×body320valid
15.0ms545×pre80true
12.0ms289×body80nan
7.0ms88×body160valid
3.0ms21×body640valid
1.0ms33×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune4.0ms

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: 52.1b

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)
25.9b
(+ (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:
3.0ms
(- (* b b) (* (* 3.0 a) c))
14.0ms
(/ (+ (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))))

series279.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* b b) (* (* 3.0 a) c))
135.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
19.0ms
(* (* 3.0 a) c)
77.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0417711
11922611
25002602

prune266.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh000
Picked011
Done000
Total83386

Merged error: 0.1b

Counts
86 → 3

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)))))
0.4b
(* 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)))))
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))

series546.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* 3.0 a) c)
277.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* 3.0 (* a c))
226.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify115.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
06282481
133222152
250022149

prune552.0ms

Filtered
169 candidates to 104 candidates (61.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1636169
Fresh011
Picked101
Done101
Total1657172

Merged error: 0b

Counts
172 → 7

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

series542.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* 3.0 a) c)
19.0ms
(* (* 3.0 a) c)
272.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
226.0ms
(/ (/ (+ 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

prune504.0ms

Filtered
169 candidates to 103 candidates (60.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1672169
Fresh336
Picked011
Done000
Total1706176

Merged error: 0b

Counts
176 → 6

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
356×times-frac
266×add-sqr-sqrt
240×*-un-lft-identity
154×add-cube-cbrt
113×add-exp-log
88×associate-*r*
73×add-cbrt-cube
57×div-exp
42×distribute-lft-out-- difference-of-squares
32×cbrt-undiv
30×associate-/l*
29×prod-exp
27×associate-*l*
21×distribute-rgt-neg-in sqrt-prod
19×cbrt-unprod
15×associate-/r/
14×div-inv
11×pow1
8×unswap-sqr
7×flip3-- flip--
5×rec-exp 1-exp
4×pow-prod-down associate-/r* add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 330
Calls
4 calls:
15.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
4.0ms
(/ 3.0 (* a c))
5.0ms
(* (* 3.0 a) c)
61.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series437.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
21.0ms
(/ 3.0 (* a c))
24.0ms
(* (* 3.0 a) c)
225.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify74.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014645263
150014574

prune985.0ms

Filtered
342 candidates to 191 candidates (55.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3411342
Fresh134
Picked011
Done011
Total3426348

Merged error: 0b

Counts
348 → 6

regimes241.0ms

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
442.0ms3618×body320valid
426.0ms16377×pre80true
345.0ms8377×body80nan
255.0ms2985×body160valid
78.0ms477×body640valid
42.0ms920×body80valid

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