Details

Time bar (total: 3.4s)

sample48.0ms

Algorithm
intervals
Results
12.0ms510×pre80true
9.0ms134×body160valid
8.0ms254×body80nan
4.0ms122×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: 27.0b

localize10.0ms

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))
26.8b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite31.0ms

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))
11.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series249.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
49.0ms
(- (* b b) (* (* 3.0 a) c))
104.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
77.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify59.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0449785
12075672
25002663

prune260.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.6b

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

prune40.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.6b

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))

rewrite22.0ms

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)
6.0ms
(* -1.5 (/ (* a c) b))
9.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series69.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ (* a c) b)
26.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(/ (* -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

prune185.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 8.5b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
24×prod-exp cbrt-unprod
13×pow1
9×cbrt-undiv div-exp
6×pow-prod-down
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*r* associate-*l*
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×*-commutative
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
3 → 73
Calls
3 calls:
5.0ms
(* (* 3.0 a) b)
5.0ms
(* -1.5 (* a c))
10.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series62.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* (* 3.0 a) b)
20.0ms
(* -1.5 (* a c))
23.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify72.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0359466
12848326
25002326

prune101.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 8.4b

regimes765.0ms

Accuracy

59.5% (5.7b remaining)

Error of 14.6b against oracle of 8.9b and baseline of 22.9b

bsearch4.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03030
13030

end0.0ms

sample1.3s

Algorithm
intervals
Results
309.0ms16495×pre80true
292.0ms4435×body160valid
260.0ms8495×body80nan
118.0ms3565×body80valid