Details

Time bar (total: 5.8s)

sample1.1s

Algorithm
intervals
Results
23.0ms95×body160valid
17.0ms115×body320valid
11.0ms271×pre80true
3.0ms18×body640valid
1.0ms28×body80valid
1.0ms15×body80nan

simplify12.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 53.5b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
28.8b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite28.0ms

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:
3.0ms
(- (* b b) (* (* 3.0 a) c))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
7.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3.0 a) c))
24.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms
(* (* 3.0 a) c)
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0417711
11922611
25002602

prune122.0ms

Filtered
85 candidates to 59 candidates (30.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New81485
Fresh000
Picked101
Done000
Total82486

Merged error: 0.1b

Counts
86 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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)
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
4.0ms
(* 3.0 (* a c))
15.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series104.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
52.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(* 3.0 (* a c))
45.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify118.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
06282481
133222152
250022149

prune275.0ms

Filtered
169 candidates to 104 candidates (38.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1645169
Fresh213
Picked011
Done000
Total1667173

Merged error: 0b

Counts
173 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
224×times-frac
162×add-sqr-sqrt
136×*-un-lft-identity
113×add-exp-log
98×add-cube-cbrt
88×associate-*r*
77×add-cbrt-cube
56×div-exp
34×cbrt-undiv
30×prod-exp
27×associate-*l*
20×cbrt-unprod
18×distribute-lft-out-- difference-of-squares
14×div-inv
11×pow1
9×distribute-rgt-neg-in sqrt-prod
8×associate-/r* associate-/r/ unswap-sqr
6×associate-/l*
4×rec-exp 1-exp pow-prod-down add-log-exp
3×flip3-- flip--
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/ associate-*l/
Counts
4 → 250
Calls
4 calls:
4.0ms
(/ 3.0 (* a c))
6.0ms
(/ 3.0 (/ 3.0 (* a c)))
5.0ms
(* (* 3.0 a) c)
54.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series57.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 3.0 (* a c))
3.0ms
(/ 3.0 (/ 3.0 (* a c)))
3.0ms
(* (* 3.0 a) c)
47.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify57.0ms

Algorithm
egg-herbie
Counts
262 → 262
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013353162
150012477

prune411.0ms

Filtered
262 candidates to 162 candidates (38.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2602262
Fresh235
Picked011
Done011
Total2627269

Merged error: 0b

Counts
269 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
158×add-exp-log
100×add-cbrt-cube
79×prod-exp
47×cbrt-unprod
44×div-exp
25×cbrt-undiv
21×add-sqr-sqrt
17×associate-*l*
16×pow1
15×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×associate-*r*
7×rec-exp 1-exp pow-prod-down
5×associate-*r/
4×associate-/r/ add-log-exp
3×*-commutative div-inv unswap-sqr
2×flip3-- flip--
1×frac-times frac-2neg associate-*l/ clear-num associate-/r* associate-/l*
Counts
4 → 140
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
4.0ms
(* 3.0 (* a c))
21.0ms
(* (/ 1 3.0) (/ (* 3.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
13.0ms
(/ (* 3.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series93.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
3.0ms
(* 3.0 (* a c))
45.0ms
(* (/ 1 3.0) (/ (* 3.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
42.0ms
(/ (* 3.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify38.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07752136
150011493

prune146.0ms

Filtered
152 candidates to 74 candidates (51.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1520152
Fresh044
Picked011
Done022
Total1527159

Merged error: 0b

Counts
159 → 7

regimes176.0ms

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 (1.0ms)

IterNodesCost
02413
12413

end0.0ms

sample2.6s

Algorithm
intervals
Results
556.0ms3641×body320valid
290.0ms2916×body160valid
252.0ms8438×pre80true
103.0ms535×body640valid
47.0ms908×body80valid
21.0ms438×body80nan

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