Details

Time bar (total: 3.7s)

sample67.0ms

Algorithm
intervals
Results
14.0ms507×pre80true
12.0ms145×body160valid
11.0ms251×body80nan
7.0ms58×body320valid
5.0ms53×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune3.0ms

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: 44.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
37.7b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt fma-def add-log-exp
9×pow1
6×distribute-rgt-neg-in distribute-lft-out
5×times-frac associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative neg-mul-1 sub-neg flip3-- frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 93
Calls
4 calls:
4.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
11.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
105.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify62.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0449785
12075672
25002663

prune236.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9411105
Fresh000
Picked101
Done000
Total9511106

Merged error: 5.3b

Counts
106 → 11

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune26.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01010
Picked011
Done000
Total01111

Merged error: 5.3b

Counts
11 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l*
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 84
Calls
3 calls:
4.0ms
(/ (* a c) b)
6.0ms
(* -1.5 (/ (* a c) b))
9.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series71.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
31.0ms
(* -1.5 (/ (* a c) b))
21.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify59.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0383531
12513389
25002389

prune172.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New791493
Fresh099
Picked101
Done011
Total8024104

Merged error: 5.2b

Counts
104 → 24

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
0.4b
(/ (* 3.0 a) (/ (* a c) b))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
58×add-exp-log add-cbrt-cube
34×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
29×cbrt-undiv div-exp
22×associate-/r*
13×div-inv
11×prod-exp cbrt-unprod
6×associate-/r/
5×associate-/l*
3×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
3 → 141
Calls
3 calls:
5.0ms
(/ (* a c) b)
9.0ms
(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
7.0ms
(/ (* 3.0 a) (/ (* a c) b))

series62.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
24.0ms
(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
20.0ms
(/ (* 3.0 a) (/ (* a c) b))

simplify80.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05931072
13353883
25002851

prune228.0ms

Filtered
150 candidates to 107 candidates (71.3%)
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New14010150
Fresh61622
Picked101
Done011
Total14727174

Merged error: 5.2b

Counts
174 → 27

regimes348.0ms

Accuracy

13.6% (6.0b remaining)

Error of 11.0b against oracle of 5.0b and baseline of 12.0b

bsearch34.0ms

Steps
ItersRangePoint
4
7.540994614628497e-05
0.00010675940441385566
8.030829900059288e-05

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02418
12418

end0.0ms

sample1.9s

Algorithm
intervals
Results
446.0ms16297×pre80true
417.0ms4818×body160valid
363.0ms8297×body80nan
177.0ms1353×body320valid
84.0ms1829×body80valid