Details

Time bar (total: 3.5s)

sample51.0ms

Algorithm
intervals
Results
12.0ms158×body160valid
9.0ms523×pre80true
8.0ms267×body80nan
4.0ms39×body320valid
2.0ms59×body80valid

simplify12.0ms

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: 43.1b

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))
38.2b
(+ (- 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)
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* 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))
80.0ms
(+ (- 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

prune265.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New9114105
Fresh000
Picked101
Done000
Total9214106

Merged error: 5.2b

Counts
106 → 14

localize4.0ms

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

prune32.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 5.2b

Counts
14 → 14

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* 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:
9.0ms
(* -1.5 (/ (* a c) b))
4.0ms
(/ (* a c) b)
9.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series66.0ms

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

prune189.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New781593
Fresh01212
Picked101
Done011
Total7928107

Merged error: 5.2b

Counts
107 → 28

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* -1.5 (expm1 (log1p (/ (* a c) b))))
0.3b
(/ (* a c) b)
0.3b
(expm1 (log1p (/ (* a c) b)))
0.4b
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u times-frac associate-/r* log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×frac-2neg clear-num div-inv associate-/l*
1×expm1-log1p pow-prod-down *-commutative expm1-udef unswap-sqr
Counts
4 → 77
Calls
4 calls:
3.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
4.0ms
(/ (* a c) b)
1.0ms
(expm1 (log1p (/ (* a c) b)))
6.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

series294.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
19.0ms
(/ (* a c) b)
89.0ms
(expm1 (log1p (/ (* a c) b)))
87.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

simplify54.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0379570
12061446
25001439

prune187.0ms

Filtered
89 candidates to 65 candidates (73.0%)
Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New81889
Fresh71926
Picked101
Done011
Total8928117

Merged error: 5.1b

Counts
117 → 28

regimes502.0ms

Accuracy

29.9% (4.9b remaining)

Error of 9.9b against oracle of 5.1b and baseline of 12.0b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.4s

Algorithm
intervals
Results
314.0ms4854×body160valid
297.0ms16342×pre80true
253.0ms8342×body80nan
131.0ms1353×body320valid
57.0ms1793×body80valid