Details

Time bar (total: 4.0s)

sample47.0ms

Algorithm
intervals
Results
10.0ms516×pre80true
9.0ms137×body160valid
8.0ms260×body80nan
4.0ms119×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: 27.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.4b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite35.0ms

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:
5.0ms
(* (* 3.0 a) c)
4.0ms
(- (* b b) (* (* 3.0 a) c))
15.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
9.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series265.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* 3.0 a) c)
45.0ms
(- (* b b) (* (* 3.0 a) c))
110.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
84.0ms
(+ (- 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

prune275.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.0b

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

prune44.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.0b

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:
4.0ms
(/ (* a c) b)
7.0ms
(* -1.5 (/ (* a c) b))
9.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series74.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/ (* a c) b)
32.0ms
(* -1.5 (/ (* a c) b))
22.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify59.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0383531
12513389
25002389

prune190.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 8.9b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
207×times-frac
109×sqrt-prod
99×add-sqr-sqrt
91×add-cube-cbrt *-un-lft-identity
77×add-exp-log add-cbrt-cube
64×associate-*r*
32×cbrt-undiv div-exp
22×prod-exp cbrt-unprod
17×div-inv
13×associate-/r*
12×associate-/l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num unswap-sqr
2×associate-*r/ associate-/l/
1×pow-prod-down *-commutative
Counts
4 → 250
Calls
4 calls:
9.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))
22.0ms
(* -1.5 (/ (/ (* a c) (sqrt b)) (sqrt b)))
5.0ms
(/ (* a c) (sqrt b))
19.0ms
(/ (* -1.5 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 3.0 a))

series196.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))
56.0ms
(* -1.5 (/ (/ (* a c) (sqrt b)) (sqrt b)))
48.0ms
(/ (* a c) (sqrt b))
49.0ms
(/ (* -1.5 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 3.0 a))

simplify49.0ms

Algorithm
egg-herbie
Counts
262 → 262
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09072265
150011758

prune431.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 8.8b

regimes832.0ms

Accuracy

57.1% (5.8b remaining)

Error of 15.0b against oracle of 9.2b and baseline of 22.6b

bsearch4.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.3s

Algorithm
intervals
Results
308.0ms16393×pre80true
295.0ms4493×body160valid
265.0ms8393×body80nan
121.0ms3507×body80valid