Details

Time bar (total: 5.9s)

sample54.0ms

Algorithm
intervals
Results
11.0ms123×body320valid
8.0ms505×pre80true
7.0ms249×body80nan
5.0ms89×body160valid
2.0ms17×body640valid
1.0ms27×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.2b

localize14.0ms

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)
25.4b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite116.0ms

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:
8.0ms
(- (* b b) (* (* 3.0 a) c))
67.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
17.0ms
(* (* 3.0 a) c)
21.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* b b) (* (* 3.0 a) c))
96.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
22.0ms
(* (* 3.0 a) c)
69.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0419716
11930613
25002608

prune169.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite598.0ms

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)
265.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
15.0ms
(* 3.0 (* a c))
294.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series303.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* 3.0 a) c)
145.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
17.0ms
(* 3.0 (* a c))
119.0ms
(/ (/ (+ (- (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
171 → 171
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
06843100
133072567
250012533

prune415.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

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:
19.0ms
(/ (* 3.0 (* a c)) 3.0)
54.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
15.0ms
(* 3.0 (* a c))
90.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)

series332.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* 3.0 (* a c)) 3.0)
164.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
17.0ms
(* 3.0 (* a c))
134.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)

simplify88.0ms

Algorithm
egg-herbie
Counts
381 → 381
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011867170
150026790

prune806.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log add-cbrt-cube
19×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
16×times-frac
14×pow1
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/l*
6×pow-prod-down
4×associate-*r* associate-*l* associate-/r* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/r/ *-commutative
1×flip3-- flip-- associate-/l/
Counts
4 → 103
Calls
4 calls:
16.0ms
(* (* 3.0 a) c)
21.0ms
(/ (* 3.0 (* a c)) 3.0)
15.0ms
(* 3.0 (* a c))
39.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series189.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (* 3.0 a) c)
17.0ms
(/ (* 3.0 (* a c)) 3.0)
17.0ms
(* 3.0 (* a c))
137.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify80.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
05251089
13033792
25002776

prune224.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.4b 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
02112
12112

end0.0ms

sample1.6s

Algorithm
intervals
Results
331.0ms3625×body320valid
272.0ms16309×pre80true
246.0ms8309×body80nan
184.0ms2921×body160valid
62.0ms515×body640valid
33.0ms939×body80valid