Details

Time bar (total: 6.4s)

sample56.0ms

Algorithm
intervals
Results
11.0ms119×body320valid
9.0ms542×pre80true
8.0ms286×body80nan
6.0ms95×body160valid
1.0ms12×body640valid
1.0ms30×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.7b

localize13.0ms

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)
27.9b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite114.0ms

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:
9.0ms
(- (* b b) (* (* 3.0 a) c))
66.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
16.0ms
(* (* 3.0 a) c)
21.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series260.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* b b) (* (* 3.0 a) c))
110.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms
(* (* 3.0 a) c)
81.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0419716
11930613
25002608

prune168.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

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))

rewrite572.0ms

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:
16.0ms
(* (* 3.0 a) c)
253.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
15.0ms
(* 3.0 (* a c))
280.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series336.0ms

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)))))
20.0ms
(* 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))

simplify109.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
06843100
133072567
250012533

prune408.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
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)))))
0.4b
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite573.0ms

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-- div-sub flip-- associate-/l/
2×associate-+l- frac-2neg associate-*l* clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
17.0ms
(* (* 3.0 a) c)
17.0ms
(* (* 3.0 a) c)
254.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
279.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series338.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
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)))))
131.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify105.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06273101
131392568
250012534

prune389.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 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))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
448×times-frac
264×add-sqr-sqrt *-un-lft-identity
152×add-cube-cbrt
56×associate-/l* distribute-lft-out-- difference-of-squares
43×add-exp-log add-cbrt-cube
34×div-inv
28×distribute-rgt-neg-in sqrt-prod
15×cbrt-undiv div-exp
14×pow1
12×prod-exp cbrt-unprod
8×associate-/r/
6×pow-prod-down associate-/r*
4×flip3-- associate-*r* associate-*l* flip-- add-log-exp
2×frac-2neg clear-num *-commutative
1×associate-/l/
Counts
4 → 303
Calls
4 calls:
17.0ms
(* (* 3.0 a) c)
19.0ms
(/ (* 3.0 (* a c)) 3.0)
88.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
15.0ms
(* 3.0 (* a c))

series222.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
21.0ms
(/ (* 3.0 (* a c)) 3.0)
160.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
21.0ms
(* 3.0 (* a c))

simplify74.0ms

Algorithm
egg-herbie
Counts
315 → 315
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011695654
150015392

prune675.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes119.0ms

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
02016
12016

end0.0ms

sample1.6s

Algorithm
intervals
Results
335.0ms3653×body320valid
266.0ms16264×pre80true
241.0ms8264×body80nan
181.0ms2976×body160valid
58.0ms470×body640valid
28.0ms901×body80valid