Details

Time bar (total: 6.4s)

sample54.0ms

Algorithm
intervals
Results
11.0ms113×body320valid
9.0ms106×body160valid
9.0ms467×pre80true
7.0ms211×body80nan
3.0ms20×body640valid
1.0ms17×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: 53.8b

Counts
2 → 1

localize10.0ms

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))
0.2b
(* (* 3.0 a) c)
28.7b
(+ (- 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:
4.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* b b) (* (* 3.0 a) c))
109.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms
(* (* 3.0 a) c)
80.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify58.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0419716
11930613
25002608

prune160.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh000
Picked101
Done000
Total83386

Merged error: 0.1b

Counts
86 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 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
(* 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))

rewrite78.0ms

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-- div-sub flip-- associate-/l/
2×associate-+l- frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
30.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* 3.0 (* a c))
31.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series335.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
166.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
23.0ms
(* 3.0 (* a c))
127.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify117.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
06843100
133072567
250012533

prune413.0ms

Filtered
171 candidates to 107 candidates (62.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1647171
Fresh112
Picked011
Done000
Total1659174

Merged error: 0b

Counts
174 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
320×times-frac
238×add-sqr-sqrt
227×*-un-lft-identity
142×add-cube-cbrt
117×add-exp-log
86×associate-*r*
77×add-cbrt-cube
48×div-exp
42×distribute-lft-out-- difference-of-squares
41×prod-exp
28×associate-/l*
27×cbrt-undiv cbrt-unprod
21×distribute-rgt-neg-in sqrt-prod
14×associate-/r/
11×pow1 div-inv
10×associate-*l*
7×flip3-- flip--
6×associate-/r*
5×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 → 309
Calls
4 calls:
16.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
9.0ms
(/ (* 3.0 (* a c)) 3.0)
5.0ms
(* 3.0 (* a c))
41.0ms
(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series318.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
20.0ms
(/ (* 3.0 (* a c)) 3.0)
19.0ms
(* 3.0 (* a c))
154.0ms
(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify70.0ms

Algorithm
egg-herbie
Counts
321 → 321
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
012594905
150014302

prune614.0ms

Filtered
321 candidates to 168 candidates (52.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3201321
Fresh167
Picked011
Done011
Total3219330

Merged error: 0b

Counts
330 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
357×add-exp-log
329×times-frac
242×add-sqr-sqrt
231×*-un-lft-identity
175×add-cbrt-cube
152×div-exp
146×add-cube-cbrt
145×prod-exp
89×cbrt-unprod
86×associate-*r*
85×cbrt-undiv
42×distribute-lft-out-- difference-of-squares
28×associate-/l*
21×distribute-rgt-neg-in sqrt-prod
17×associate-*l*
14×associate-/r/
13×rec-exp 1-exp
12×div-inv
11×pow1
9×cbrt-prod associate-/r*
7×flip3-- flip--
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×associate-/l/
Counts
4 → 393
Calls
4 calls:
16.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
47.0ms
(* (/ (* a c) (cbrt 3.0)) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))
32.0ms
(* (/ 3.0 (* (cbrt 3.0) (cbrt 3.0))) (* (/ (* a c) (cbrt 3.0)) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)))
5.0ms
(/ (* a c) (cbrt 3.0))

series1.0s

Counts
4 → 12
Calls
4 calls:
126.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
592.0ms
(* (/ (* a c) (cbrt 3.0)) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))
243.0ms
(* (/ 3.0 (* (cbrt 3.0) (cbrt 3.0))) (* (/ (* a c) (cbrt 3.0)) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)))
78.0ms
(/ (* a c) (cbrt 3.0))

simplify93.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017417471
150026234

prune777.0ms

Filtered
405 candidates to 194 candidates (47.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New4050405
Fresh066
Picked011
Done022
Total4059414

Merged error: 0b

Counts
414 → 9

regimes132.0ms

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
02818
12818

end0.0ms

sample1.6s

Algorithm
intervals
Results
363.0ms3610×body320valid
296.0ms15941×pre80true
259.0ms7941×body80nan
201.0ms2966×body160valid
64.0ms469×body640valid
32.0ms955×body80valid