Details

Time bar (total: 3.7s)

sample53.0ms

Algorithm
intervals
Results
10.0ms523×pre80true
9.0ms138×body160valid
8.0ms267×body80nan
7.0ms118×body80valid

simplify11.0ms

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: 27.8b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 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))
27.7b
(+ (- 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:
5.0ms
(* (* 3.0 a) c)
4.0ms
(- (* b b) (* (* 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:
19.0ms
(* (* 3.0 a) c)
49.0ms
(- (* b b) (* (* 3.0 a) c))
104.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
78.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify60.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0449785
12075672
25002663

prune268.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New8916105
Fresh000
Picked101
Done000
Total9016106

Merged error: 8.9b

Counts
106 → 16

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

prune36.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01515
Picked011
Done000
Total01616

Merged error: 8.9b

Counts
16 → 16

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))

rewrite26.0ms

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))
12.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series66.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/ (* a c) b)
27.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify62.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0383531
12513389
25002389

prune189.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New791493
Fresh01414
Picked101
Done011
Total8029109

Merged error: 8.8b

Counts
109 → 29

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
24×prod-exp cbrt-unprod
13×pow1
9×cbrt-undiv div-exp
6×pow-prod-down
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*r* associate-*l*
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×*-commutative
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
3 → 73
Calls
3 calls:
5.0ms
(* -1.5 (* a c))
5.0ms
(* (* 3.0 a) b)
10.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series63.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* -1.5 (* a c))
23.0ms
(* (* 3.0 a) b)
20.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify74.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0359466
12848326
25002326

prune100.0ms

Filtered
82 candidates to 42 candidates (51.2%)
Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New711182
Fresh62127
Picked101
Done011
Total7833111

Merged error: 8.8b

Counts
111 → 33

regimes1.1s

Accuracy

58.8% (5.7b remaining)

Error of 14.8b against oracle of 9.1b and baseline of 23.0b

bsearch4.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.3s

Algorithm
intervals
Results
305.0ms16369×pre80true
284.0ms4395×body160valid
259.0ms8369×body80nan
121.0ms3605×body80valid