Details

Time bar (total: 3.6s)

sample50.0ms

Algorithm
intervals
Results
12.0ms526×pre80true
10.0ms158×body160valid
8.0ms270×body80nan
3.0ms98×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

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))
31.0b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite62.0ms

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))
37.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
12.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series268.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (* 3.0 a) c)
45.0ms
(- (* b b) (* (* 3.0 a) c))
111.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
85.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify60.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0449785
12075672
25002663

prune271.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.7b

localize3.0ms

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

prune42.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.2b
(* -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))

series71.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/ (* a c) b)
32.0ms
(* -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

prune194.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 8.5b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:
6.0ms
(* (* 3.0 a) b)
6.0ms
(* -1.5 (* a c))
12.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series67.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (* 3.0 a) b)
21.0ms
(* -1.5 (* a c))
21.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify74.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0359466
12848326
25002326

prune103.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 8.5b

regimes854.0ms

Accuracy

57.9% (5.8b remaining)

Error of 14.8b against oracle of 9.0b and baseline of 22.8b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.3s

Algorithm
intervals
Results
300.0ms16446×pre80true
281.0ms4438×body160valid
256.0ms8446×body80nan
117.0ms3562×body80valid