Details

Time bar (total: 6.4s)

sample98.0ms

Algorithm
intervals
Results
26.0ms123×body320valid
22.0ms511×pre80true
15.0ms255×body80nan
11.0ms87×body160valid
3.0ms13×body640valid
2.0ms33×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.9b

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)
27.4b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite57.0ms

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

series51.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
4.0ms
(* (* 3.0 a) c)
16.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify61.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0449785
12075672
25002663

prune768.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.7b

localize5.0ms

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

prune94.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* -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))

series17.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ (* a c) b)
6.0ms
(* -1.5 (/ (* a c) b))
5.0ms
(/ (* -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

prune497.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.7b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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:
7.0ms
(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
3.0ms
(/ (* a c) b)
6.0ms
(/ (* 3.0 a) (/ (* a c) b))

series16.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
5.0ms
(/ (* a c) b)
6.0ms
(/ (* 3.0 a) (/ (* a c) b))

simplify76.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05931072
13353883
25002851

prune715.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.7b

regimes990.0ms

Accuracy

2.4% (3.4b remaining)

Error of 6.0b against oracle of 2.6b and baseline of 6.1b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample2.8s

Algorithm
intervals
Results
695.0ms3611×body320valid
687.0ms16130×pre80true
510.0ms8130×body80nan
383.0ms2981×body160valid
129.0ms501×body640valid
57.0ms907×body80valid