Details

Time bar (total: 6.3s)

sample73.0ms

Algorithm
intervals
Results
17.0ms527×pre80true
15.0ms118×body320valid
12.0ms271×body80nan
7.0ms87×body160valid
3.0ms17×body640valid
2.0ms34×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: 50.9b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.2b
(* (* 3.0 a) c)
23.7b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite33.0ms

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))
14.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series285.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* b b) (* (* 3.0 a) c))
137.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms
(* (* 3.0 a) c)
78.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify57.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0417711
11922611
25002602

prune167.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New81485
Fresh000
Picked101
Done000
Total82486

Merged error: 0.1b

Counts
86 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(* 3.0 (* a c))
0.3b
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite46.0ms

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-- flip-- associate-/l/
2×frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* 3.0 (* a c))
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
17.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series563.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
20.0ms
(* 3.0 (* a c))
290.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
233.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify128.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
06282481
133222152
250022149

prune376.0ms

Filtered
169 candidates to 104 candidates (61.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1636169
Fresh213
Picked011
Done000
Total1658173

Merged error: 0b

Counts
173 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(/ 3.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
0.3b
(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))
0.3b
(/ (* 1 (/ 3.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))) (* 3.0 a))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
100×add-exp-log
69×times-frac
68×add-cbrt-cube
51×add-sqr-sqrt *-un-lft-identity
45×div-exp
34×prod-exp
27×cbrt-undiv add-cube-cbrt
20×cbrt-unprod
13×associate-/r*
12×distribute-lft-out-- difference-of-squares
11×associate-/l*
9×pow1
8×1-exp
7×div-inv
6×distribute-rgt-neg-in sqrt-prod
4×add-log-exp
3×frac-2neg associate-*r* pow-prod-down clear-num associate-/l/
1×flip3-- div-sub associate-*r/ associate-*l* associate-/r/ *-commutative flip--
Counts
4 → 156
Calls
4 calls:
6.0ms
(* (* 3.0 a) c)
13.0ms
(/ 3.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
12.0ms
(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))
19.0ms
(/ (* 1 (/ 3.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))) (* 3.0 a))

series517.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
216.0ms
(/ 3.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
108.0ms
(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))
172.0ms
(/ (* 1 (/ 3.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))) (* 3.0 a))

simplify46.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
08962482
150022044

prune321.0ms

Filtered
168 candidates to 97 candidates (57.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1671168
Fresh156
Picked011
Done011
Total1688176

Merged error: 0b

Counts
176 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
389×times-frac
281×add-sqr-sqrt
255×*-un-lft-identity
169×add-cube-cbrt
117×add-exp-log
85×associate-*r*
77×add-cbrt-cube
62×div-exp
42×distribute-lft-out-- difference-of-squares
37×cbrt-undiv
33×associate-/l*
27×prod-exp
26×associate-*l*
21×distribute-rgt-neg-in sqrt-prod
19×div-inv
17×cbrt-unprod
16×associate-/r/
11×associate-/r*
8×unswap-sqr
7×flip3-- flip--
6×pow1
5×rec-exp 1-exp
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 360
Calls
4 calls:
4.0ms
(/ 3.0 (* a c))
15.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
6.0ms
(/ 3.0 (/ 3.0 (* a c)))
58.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series454.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 3.0 (* a c))
174.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
24.0ms
(/ 3.0 (/ 3.0 (* a c)))
234.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify82.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
014695419
150014625

prune754.0ms

Filtered
372 candidates to 216 candidates (58.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3711372
Fresh235
Picked011
Done022
Total3737380

Merged error: 0b

Counts
380 → 7

regimes92.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02213
12413
22413

end0.0ms

sample2.0s

Algorithm
intervals
Results
460.0ms3610×body320valid
454.0ms16471×pre80true
364.0ms8471×body80nan
254.0ms2957×body160valid
87.0ms519×body640valid
42.0ms914×body80valid

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