Details

Time bar (total: 5.8s)

sample48.0ms

Algorithm
intervals
Results
10.0ms518×pre80true
8.0ms127×body160valid
8.0ms262×body80nan
4.0ms129×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
25.2b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite56.0ms

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:
6.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 3.0 a) c))
34.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
11.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series258.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
48.0ms
(- (* b b) (* (* 3.0 a) c))
107.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
82.0ms
(+ (- 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

prune180.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite368.0ms

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-*l* pow-prod-down associate-/l/
2×associate-+l- frac-2neg clear-num
1×sub-neg flip3-+ diff-log associate-*r* *-commutative flip-+
Counts
4 → 153
Calls
4 calls:
2.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(* 3.0 (* a c))
168.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
185.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series366.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* b b) (* (* 3.0 a) c))
24.0ms
(* 3.0 (* a c))
165.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
130.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify113.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
07013126
131882612
250032569

prune446.0ms

Filtered
165 candidates to 104 candidates (63.0%)
Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
521×times-frac
319×add-sqr-sqrt *-un-lft-identity
175×add-cube-cbrt
72×distribute-lft-out-- difference-of-squares
63×associate-/l*
52×add-exp-log add-cbrt-cube
43×div-inv
36×distribute-rgt-neg-in sqrt-prod
22×cbrt-undiv div-exp
13×associate-/r*
12×prod-exp cbrt-unprod
10×associate-/r/
9×pow1
5×flip3-- flip--
4×add-log-exp
3×frac-2neg associate-*l* pow-prod-down clear-num
2×associate-/l/
1×associate-*r* *-commutative
Counts
4 → 369
Calls
4 calls:
6.0ms
(* 3.0 (* a c))
7.0ms
(/ (* 3.0 (* a c)) 3.0)
50.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
31.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series383.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (* a c))
20.0ms
(/ (* 3.0 (* a c)) 3.0)
154.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
189.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify90.0ms

Algorithm
egg-herbie
Counts
381 → 381
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011867170
150026790

prune853.0ms

Filtered
381 candidates to 224 candidates (58.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
59×add-sqr-sqrt
57×*-un-lft-identity
52×add-exp-log add-cbrt-cube
33×add-cube-cbrt
21×cbrt-undiv div-exp
15×associate-/l*
13×prod-exp associate-/r* cbrt-unprod
12×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×div-inv
7×associate-*r*
6×pow1 distribute-rgt-neg-in sqrt-prod
5×flip3-- flip--
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 160
Calls
4 calls:
3.0ms
(/ (* a c) 3.0)
43.0ms
(/ (/ (* 3.0 (/ (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
27.0ms
(/ (* 3.0 (/ (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
8.0ms
(* 3.0 (/ (* a c) 3.0))

series380.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* a c) 3.0)
153.0ms
(/ (/ (* 3.0 (/ (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
186.0ms
(/ (* 3.0 (/ (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
21.0ms
(* 3.0 (/ (* a c) 3.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
07052399
140812029
250012013

prune381.0ms

Filtered
172 candidates to 111 candidates (64.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample1.3s

Algorithm
intervals
Results
295.0ms16543×pre80true
285.0ms4454×body160valid
265.0ms8543×body80nan
118.0ms3546×body80valid