Details

Time bar (total: 3.8s)

sample49.0ms

Algorithm
intervals
Results
10.0ms562×pre80true
9.0ms306×body80nan
9.0ms139×body160valid
4.0ms117×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.8b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite59.0ms

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:
7.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 3.0 a) c))
35.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
12.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series253.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
49.0ms
(- (* b b) (* (* 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))))

simplify58.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0449785
12075672
25002663

prune276.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.8b

localize3.0ms

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

prune47.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 8.8b

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))

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))
21.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify56.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0383531
12513389
25002389

prune197.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (* 3.0 a))
0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

rewrite55.0ms

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:
4.0ms
(/ 1 (* 3.0 a))
3.0ms
(/ (* a c) b)
8.0ms
(* -1.5 (/ (* a c) b))
34.0ms
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 1 (* 3.0 a))
19.0ms
(/ (* a c) b)
31.0ms
(* -1.5 (/ (* a c) b))
21.0ms
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

simplify66.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0578917
13123690
25001679

prune190.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 8.7b

regimes908.0ms

Accuracy

57.9% (5.7b remaining)

Error of 15.0b against oracle of 9.2b and baseline of 22.8b

bsearch3.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.3s

Algorithm
intervals
Results
314.0ms16383×pre80true
301.0ms4494×body160valid
270.0ms8383×body80nan
116.0ms3505×body80valid
0.0ms1×body320valid