Details

Time bar (total: 4.0s)

sample68.0ms

Algorithm
intervals
Results
16.0ms571×pre80true
14.0ms126×body160valid
13.0ms315×body80nan
6.0ms130×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

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: 26.6b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
26.5b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite35.0ms

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:
5.0ms
(* (* 3.0 a) c)
4.0ms
(- (* b b) (* (* 3.0 a) c))
15.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
9.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* 3.0 a) c)
43.0ms
(- (* b b) (* (* 3.0 a) c))
104.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
81.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify59.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0449785
12075672
25002663

prune391.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New8619105
Fresh000
Picked101
Done000
Total8719106

Merged error: 8.7b

Counts
106 → 19

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune45.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01818
Picked011
Done000
Total01919

Merged error: 8.7b

Counts
19 → 19

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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)
7.0ms
(* -1.5 (/ (* a c) b))
9.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series68.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ (* a c) b)
27.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify57.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0383531
12513389
25002389

prune185.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New791493
Fresh01717
Picked101
Done011
Total8032112

Merged error: 8.6b

Counts
112 → 32

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -1.5 (* (* a c) (/ 1 b)))
0.4b
(* (* a c) (/ 1 b))
0.4b
(/ (* -1.5 (* (* a c) (/ 1 b))) (* 3.0 a))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
153×add-exp-log
89×add-cbrt-cube
85×prod-exp
45×cbrt-unprod
36×div-exp
20×cbrt-undiv
17×pow1
14×associate-*r*
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×times-frac
9×pow-prod-down
8×rec-exp 1-exp
7×associate-*r/
4×associate-*l*
3×expm1-log1p-u un-div-inv log1p-expm1-u add-log-exp
2×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
3 → 122
Calls
3 calls:
10.0ms
(* -1.5 (* (* a c) (/ 1 b)))
8.0ms
(* (* a c) (/ 1 b))
13.0ms
(/ (* -1.5 (* (* a c) (/ 1 b))) (* 3.0 a))

series69.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* -1.5 (* (* a c) (/ 1 b)))
19.0ms
(* (* a c) (/ 1 b))
23.0ms
(/ (* -1.5 (* (* a c) (/ 1 b))) (* 3.0 a))

simplify85.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0624891
14037618
25001603

prune121.0ms

Filtered
131 candidates to 56 candidates (42.7%)
Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New1238131
Fresh52530
Picked011
Done011
Total12835163

Merged error: 8.6b

Counts
163 → 35

regimes709.0ms

Accuracy

59.7% (5.7b remaining)

Error of 14.7b against oracle of 9.1b and baseline of 23.1b

bsearch4.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.8s

Algorithm
intervals
Results
458.0ms16423×pre80true
394.0ms4398×body160valid
376.0ms8423×body80nan
170.0ms3602×body80valid