Details

Time bar (total: 3.5s)

sample61.0ms

Algorithm
intervals
Results
12.0ms286×body80nan
11.0ms117×body320valid
10.0ms542×pre80true
6.0ms95×body160valid
2.0ms17×body640valid
1.0ms27×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
26.8b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite61.0ms

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:
3.0ms
(- (* b b) (* (* 3.0 a) c))
34.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms
(* (* 3.0 a) c)
12.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* b b) (* (* 3.0 a) c))
111.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
25.0ms
(* (* 3.0 a) c)
78.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify65.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0449785
12075672
25002663

prune259.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.3b

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

prune21.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.3b

localize8.0ms

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))

rewrite27.0ms

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:
3.0ms
(/ (* a c) b)
12.0ms
(* -1.5 (/ (* a c) b))
8.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series69.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
28.0ms
(* -1.5 (/ (* a c) b))
22.0ms
(/ (* -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

prune171.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.2b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:
3.0ms
(/ (* a c) b)
8.0ms
(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
6.0ms
(/ (* 3.0 a) (/ (* a c) b))

series66.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (* a c) b)
20.0ms
(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
21.0ms
(/ (* 3.0 a) (/ (* a c) b))

simplify76.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05931072
13353883
25002851

prune268.0ms

Filtered
150 candidates to 107 candidates (71.3%)
Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.2b

regimes323.0ms

Accuracy

11.2% (3.1b remaining)

Error of 5.6b against oracle of 2.6b and baseline of 6.0b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.6s

Algorithm
intervals
Results
370.0ms3648×body320valid
315.0ms16362×pre80true
261.0ms8362×body80nan
195.0ms2950×body160valid
65.0ms501×body640valid
32.0ms901×body80valid