Details

Time bar (total: 5.0s)

sample107.0ms

Algorithm
intervals
Results
23.0ms111×body320valid
22.0ms277×body80nan
19.0ms533×pre80true
16.0ms88×body160valid
5.0ms20×body640valid
3.0ms37×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.6b

localize11.0ms

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)
25.6b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite60.0ms

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))
36.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms
(* (* 3.0 a) c)
12.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b b) (* (* 3.0 a) c))
104.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
19.0ms
(* (* 3.0 a) c)
79.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify63.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0449785
12075672
25002663

prune258.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.9b

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

prune27.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.9b

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))

series70.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/ (* a c) b)
31.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify60.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0383531
12513389
25002389

prune173.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.9b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
147×add-exp-log
77×add-cbrt-cube
76×prod-exp
38×div-exp
34×cbrt-unprod
20×cbrt-undiv
15×add-sqr-sqrt
14×pow1 associate-*r*
13×add-cube-cbrt *-un-lft-identity
12×times-frac
10×rec-exp 1-exp
5×pow-prod-down
4×expm1-log1p-u associate-*r/ associate-*l* associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
2×pow-flip frac-2neg clear-num *-commutative
1×frac-times associate-*l/ un-div-inv inv-pow unswap-sqr
Counts
4 → 146
Calls
4 calls:
3.0ms
(/ (* a c) b)
4.0ms
(/ 1 (* 3.0 a))
8.0ms
(* -1.5 (/ (* a c) b))
32.0ms
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* a c) b)
20.0ms
(/ 1 (* 3.0 a))
27.0ms
(* -1.5 (/ (* a c) b))
21.0ms
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

simplify69.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0578917
13123690
25001679

prune198.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.8b

regimes364.0ms

Accuracy

18.2% (2.9b remaining)

Error of 5.7b against oracle of 2.8b and baseline of 6.3b

bsearch3.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample3.1s

Algorithm
intervals
Results
786.0ms3664×body320valid
670.0ms8177×body80nan
587.0ms16177×pre80true
445.0ms2903×body160valid
133.0ms487×body640valid
86.0ms946×body80valid