Details

Time bar (total: 7.1s)

sample48.0ms

Algorithm
intervals
Results
10.0ms523×pre80true
9.0ms138×body160valid
8.0ms267×body80nan
4.0ms118×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: 27.8b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.7b
(+ (- 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:
5.0ms
(* (* 3.0 a) c)
4.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
47.0ms
(- (* b b) (* (* 3.0 a) c))
104.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0419716
11930613
25002608

prune181.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New78785
Fresh000
Picked101
Done000
Total79786

Merged error: 0.4b

Counts
86 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
79×add-sqr-sqrt *-un-lft-identity
39×add-cube-cbrt
30×associate-/l*
23×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
10×distribute-rgt-neg-in sqrt-prod
9×pow1
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
5×prod-exp cbrt-unprod
4×flip3-- flip-- div-inv
3×div-sub associate-*r* pow-prod-down associate-/l/
2×associate-+l- frac-2neg clear-num
1×sub-neg flip3-+ diff-log associate-*l* *-commutative flip-+
Counts
4 → 153
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
4.0ms
(- (* b b) (* (* 3.0 a) c))
26.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
34.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series362.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
48.0ms
(- (* b b) (* (* 3.0 a) c))
162.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
132.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify120.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
06883127
134982604
250022570

prune448.0ms

Filtered
165 candidates to 105 candidates (63.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New15510165
Fresh606
Picked101
Done000
Total16210172

Merged error: 0.0b

Counts
172 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
624×times-frac
363×add-sqr-sqrt *-un-lft-identity
167×add-cube-cbrt
155×distribute-rgt-neg-in
106×distribute-lft-neg-in neg-mul-1
98×distribute-lft-out-- difference-of-squares
54×associate-/l*
49×sqrt-prod
16×add-exp-log associate-/r/ add-cbrt-cube
13×associate-/r*
9×pow1 flip3-- flip-- div-inv
6×add-log-exp
4×cbrt-undiv div-exp
3×div-sub distribute-frac-neg associate-*r* pow-prod-down prod-exp cbrt-unprod
2×neg-sub0 frac-2neg clear-num
1×sub-neg diff-log associate-*l* *-commutative associate-/l/
Counts
4 → 460
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
4.0ms
(- (* b b) (* (* 3.0 a) c))
16.0ms
(/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
23.0ms
(/ (/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (- (* 3.0 a)))

series409.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* 3.0 a) c)
44.0ms
(- (* b b) (* (* 3.0 a) c))
185.0ms
(/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
156.0ms
(/ (/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (- (* 3.0 a)))

simplify112.0ms

Algorithm
egg-herbie
Counts
472 → 472
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
0152610150
150019892

prune1.1s

Filtered
472 candidates to 289 candidates (61.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4666472
Fresh639
Picked101
Done000
Total4739482

Merged error: 0.0b

Counts
482 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
1696×times-frac
740×add-sqr-sqrt *-un-lft-identity
380×add-cube-cbrt
359×distribute-rgt-neg-in
269×distribute-lft-neg-in
180×distribute-lft-out-- difference-of-squares
143×neg-mul-1
90×sqrt-prod
80×associate-/r* associate-/l*
39×add-exp-log add-cbrt-cube
18×div-inv
17×cbrt-undiv div-exp
9×pow1
8×associate-/r/
7×prod-exp cbrt-unprod
6×add-log-exp
3×associate-*r* pow-prod-down
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log associate-*l* *-commutative flip-- associate-/l/
Counts
4 → 778
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
4.0ms
(- (* b b) (* (* 3.0 a) c))
41.0ms
(/ (/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (- c))) (- (* 3.0 a)))
21.0ms
(/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (- c)))

series426.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* 3.0 a) c)
44.0ms
(- (* b b) (* (* 3.0 a) c))
162.0ms
(/ (/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (- c))) (- (* 3.0 a)))
196.0ms
(/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (- c)))

simplify178.0ms

Algorithm
egg-herbie
Counts
790 → 790
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0271716685
1500116199

prune1.6s

Filtered
790 candidates to 408 candidates (51.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New7882790
Fresh268
Picked101
Done000
Total7918799

Merged error: 0.0b

Counts
799 → 8

regimes160.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02715
12915
22915

end0.0ms

sample1.4s

Algorithm
intervals
Results
320.0ms16369×pre80true
293.0ms4395×body160valid
260.0ms8369×body80nan
124.0ms3605×body80valid