Details

Time bar (total: 4.0s)

analyze269.0ms

Algorithm
search

sample44.0ms

Algorithm
intervals
Results
15.0ms161×body160valid
8.0ms279×pre80true
7.0ms31×body320valid
3.0ms64×body80valid
1.0ms23×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 42.4b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.4b
(+ (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))
5.0ms
(* (* 3.0 a) c)
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
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))
3.0ms
(* (* 3.0 a) c)
25.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
17.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0417711
11922611
25001602

prune118.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New81485
Fresh000
Picked101
Done000
Total82486

Merged error: 0.3b

Counts
86 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 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)))))
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite43.0ms

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

series105.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
3.0ms
(* 3.0 (* a c))
53.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
45.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify120.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
06282481
133222152
250022149

prune281.0ms

Filtered
104 candidates to 169 candidates (-62.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1618169
Fresh213
Picked101
Done000
Total1649173

Merged error: 0b

Counts
173 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

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:
6.0ms
(/ 3.0 (/ 3.0 (* a c)))
4.0ms
(/ 3.0 (* a c))
14.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
53.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series87.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 3.0 (/ 3.0 (* a c)))
3.0ms
(/ 3.0 (* a c))
38.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
42.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify79.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
014665419
150014625

prune584.0ms

Filtered
216 candidates to 372 candidates (-72.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3711372
Fresh178
Picked011
Done000
Total3729381

Merged error: 0b

Counts
381 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.2b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.4b
(/ (* a c) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
10×add-log-exp
9×pow1 add-sqr-sqrt *-un-lft-identity
7×prod-exp cbrt-unprod
5×add-cube-cbrt
4×cbrt-undiv div-exp
3×flip3-- diff-log associate-*r* pow-prod-down flip--
2×sub-neg associate-*r/ associate-/r/ distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 distribute-rgt-neg-in frac-2neg times-frac associate-*l* neg-log clear-num associate-/r* sqrt-prod *-commutative div-inv associate-/l*
Counts
4 → 71
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
3.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
12.0ms
(/ (* a c) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
8.0ms
(- (* b b) (* (* 3.0 a) c))
3.0ms
(* (* 3.0 a) c)
42.0ms
(/ (* a c) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify65.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0453759
12363590
25002580

prune105.0ms

Filtered
54 candidates to 83 candidates (-53.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New82183
Fresh167
Picked011
Done011
Total83992

Merged error: 0b

Counts
92 → 9

regimes215.0ms

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
02210
12210

end0.0ms

analyze269.0ms

Algorithm
search

sample1.2s

Algorithm
intervals
Results
460.0ms4825×body160valid
249.0ms8858×pre80true
192.0ms1307×body320valid
92.0ms1868×body80valid
42.0ms858×body80nan

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