Details

Time bar (total: 4.1s)

sample51.0ms

Algorithm
intervals
Results
10.0ms159×body160valid
10.0ms545×pre80true
9.0ms289×body80nan
4.0ms38×body320valid
2.0ms59×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
38.7b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite62.0ms

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))
6.0ms
(* (* 3.0 a) c)
38.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
12.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series262.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* b b) (* (* 3.0 a) c))
20.0ms
(* (* 3.0 a) c)
109.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
82.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify58.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0449785
12075672
25002663

prune276.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.2b

localize7.0ms

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

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.2b

localize8.0ms

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:
3.0ms
(/ (* a c) b)
8.0ms
(* -1.5 (/ (* a c) b))
9.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series72.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
28.0ms
(* -1.5 (/ (* a c) b))
25.0ms
(/ (* -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

prune197.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log add-cbrt-cube
57×times-frac
54×add-sqr-sqrt
46×add-cube-cbrt *-un-lft-identity
44×associate-*r*
39×prod-exp cbrt-unprod
31×cbrt-undiv div-exp sqrt-prod
11×pow1
7×associate-*r/ associate-/r*
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u div-inv associate-/l* add-log-exp
3×associate-/l/ unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
Counts
4 → 181
Calls
4 calls:
3.0ms
(/ c (sqrt b))
13.0ms
(* -1.5 (/ a (sqrt b)))
24.0ms
(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))
22.0ms
(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))

series193.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ c (sqrt b))
60.0ms
(* -1.5 (/ a (sqrt b)))
50.0ms
(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))
36.0ms
(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))

simplify37.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09231583
150021232

prune380.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 5.1b

regimes884.0ms

Accuracy

27.5% (5.1b remaining)

Error of 10.2b against oracle of 5.1b and baseline of 12.1b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.4s

Algorithm
intervals
Results
309.0ms4827×body160valid
300.0ms16284×pre80true
247.0ms8284×body80nan
135.0ms1388×body320valid
59.0ms1785×body80valid