Details

Time bar (total: 8.7s)

sample62.0ms

Algorithm
intervals
Results
12.0ms117×body320valid
10.0ms515×pre80true
10.0ms98×body160valid
8.0ms259×body80nan
3.0ms21×body640valid
1.0ms20×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune2.0ms

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: 54.4b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
26.0b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
107×*-un-lft-identity
103×add-sqr-sqrt
60×times-frac
42×associate-*l*
39×add-cube-cbrt
28×distribute-lft-out unswap-sqr
24×associate-*r*
15×difference-of-squares
14×add-exp-log distribute-rgt-neg-in add-cbrt-cube
12×associate-/r*
11×*-commutative
10×add-log-exp
9×pow1
6×distribute-lft-out--
5×associate-/l*
4×prod-exp cbrt-unprod
3×swap-sqr 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 neg-log clear-num flip-- div-inv
Counts
4 → 173
Calls
4 calls:
26.0ms
(- (* b b) (* (* 3.0 a) c))
44.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(* (* 3.0 a) c)
40.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series280.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* b b) (* (* 3.0 a) c))
120.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
21.0ms
(* (* 3.0 a) c)
90.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify80.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06302006
128321901
250011891

prune235.0ms

Filtered
185 candidates to 112 candidates (39.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1832185
Fresh000
Picked101
Done000
Total1842186

Merged error: 0.1b

Counts
186 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* 3.0 (* a c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite518.0ms

Algorithm
rewrite-expression-head
Rules
1793×*-un-lft-identity
1346×times-frac
919×add-sqr-sqrt
400×distribute-lft-out distribute-lft-out--
393×add-cube-cbrt
389×associate-*l*
200×difference-of-squares
189×associate-*r*
100×distribute-rgt-neg-in sqrt-prod
69×associate-/l*
64×unswap-sqr
60×*-commutative
28×add-exp-log associate-/r/ add-cbrt-cube
26×associate-/r*
23×associate-/l/
15×div-inv
14×pow1 flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down
4×add-log-exp
3×frac-2neg div-sub clear-num
2×associate-+l- flip3-+ flip-+
Counts
4 → 907
Calls
4 calls:
92.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
8.0ms
(* 3.0 (* a c))
8.0ms
(* (* 3.0 a) c)
314.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series360.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
21.0ms
(* 3.0 (* a c))
22.0ms
(* (* 3.0 a) c)
141.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify246.0ms

Algorithm
egg-herbie
Counts
919 → 919
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0173423796
1500122807

prune1.1s

Filtered
919 candidates to 300 candidates (67.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New9145919
Fresh011
Picked101
Done000
Total9156921

Merged error: 0b

Counts
921 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* 3.0 (* a c))
0.3b
(* (* 3.0 a) c)
0.3b
(* (/ 1 3.0) (/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite422.0ms

Algorithm
rewrite-expression-head
Rules
2019×*-un-lft-identity
958×add-sqr-sqrt
876×associate-/l*
875×times-frac
720×frac-times
478×add-cube-cbrt
440×distribute-lft-out
438×distribute-lft-out--
350×associate-/r*
254×associate-*l*
218×associate-/l/ difference-of-squares
190×associate-*r*
109×distribute-rgt-neg-in sqrt-prod
104×clear-num
102×frac-2neg
80×associate-*r/
55×add-exp-log
37×add-cbrt-cube
28×associate-/r/
19×div-exp
18×prod-exp
17×unswap-sqr
16×pow1 div-inv
14×flip3-- flip--
12×cbrt-unprod
11×flip3-+ flip-+
10×cbrt-undiv
9×associate-*l/
8×un-div-inv
7×pow-prod-down
5×*-commutative
4×add-log-exp
3×rec-exp 1-exp
1×associate-+l- div-sub
Counts
4 → 1177
Calls
4 calls:
93.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
9.0ms
(* 3.0 (* a c))
8.0ms
(* (* 3.0 a) c)
184.0ms
(* (/ 1 3.0) (/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series363.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
21.0ms
(* 3.0 (* a c))
26.0ms
(* (* 3.0 a) c)
136.0ms
(* (/ 1 3.0) (/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify296.0ms

Algorithm
egg-herbie
Counts
1189 → 1189
Iterations

Useful iterations: 1 (66.0ms)

IterNodesCost
0306424940
1500124077

prune1.4s

Filtered
1189 candidates to 360 candidates (69.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New118721189
Fresh235
Picked011
Done000
Total118961195

Merged error: 0b

Counts
1195 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ (* 3.0 (* a c)) 0) 3.0)
0.3b
(* 3.0 (* a c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (/ (+ (* 3.0 (* a c)) 0) 3.0) (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
574×times-frac
541×*-un-lft-identity
371×add-sqr-sqrt
237×add-cube-cbrt
161×associate-*r*
137×associate-*l*
112×distribute-lft-out
40×distribute-lft-out-- difference-of-squares
29×associate-/l*
28×add-exp-log add-cbrt-cube unswap-sqr
24×*-commutative
22×associate-/r*
20×distribute-rgt-neg-in sqrt-prod
19×div-inv
17×associate-/l/
14×pow1
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down
4×add-log-exp
3×frac-2neg clear-num
2×flip3-+ associate-*r/ associate-/r/ flip-+
1×flip3-- flip--
Counts
4 → 471
Calls
4 calls:
17.0ms
(/ (+ (* 3.0 (* a c)) 0) 3.0)
8.0ms
(* 3.0 (* a c))
8.0ms
(* (* 3.0 a) c)
73.0ms
(/ (/ (+ (* 3.0 (* a c)) 0) 3.0) (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series237.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (+ (* 3.0 (* a c)) 0) 3.0)
21.0ms
(* 3.0 (* a c))
22.0ms
(* (* 3.0 a) c)
166.0ms
(/ (/ (+ (* 3.0 (* a c)) 0) 3.0) (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify113.0ms

Algorithm
egg-herbie
Counts
483 → 483
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
014178965
150018527

prune948.0ms

Filtered
483 candidates to 248 candidates (48.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4830483
Fresh044
Picked011
Done011
Total4836489

Merged error: 0b

Counts
489 → 6

regimes102.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03017
13017

end0.0ms

sample1.6s

Algorithm
intervals
Results
370.0ms3654×body320valid
324.0ms16451×pre80true
276.0ms8451×body80nan
199.0ms2930×body160valid
68.0ms502×body640valid
33.0ms914×body80valid