Details

Time bar (total: 6.4s)

sample38.0ms

Algorithm
intervals
Results
17.0ms401×body80valid
0.0ms1×body160valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (40.0ms)

IterNodesCost
03810
11189
24289
317639
450028

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
0.0b
(fma b (- (+ y t) 2.0) x)
0.0b
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0b
(* (- t 1.0) a)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt
6×pow1 add-exp-log add-cbrt-cube add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×fma-neg associate-*r* prod-diff fma-udef
2×flip3-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 65
Calls
4 calls:
1.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
1.0ms
(fma b (- (+ y t) 2.0) x)
3.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
6.0ms
(* (- t 1.0) a)

series320.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
45.0ms
(fma b (- (+ y t) 2.0) x)
81.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
30.0ms
(* (- t 1.0) a)

simplify98.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0260488
1831429
24460414
35001413

prune270.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma b y (fma b t x))
0.0b
(- (fma b y (fma b t x)) (* (- t 1.0) a))
0.0b
(* (- t 1.0) a)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×*-un-lft-identity
7×add-cube-cbrt
5×pow1 add-exp-log associate-*l* add-cbrt-cube add-log-exp
3×expm1-log1p-u fma-neg associate-*r* prod-diff log1p-expm1-u
2×flip3-- associate-*l/ flip-- fma-udef
1×sub-neg diff-log pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 55
Calls
3 calls:
1.0ms
(fma b y (fma b t x))
3.0ms
(- (fma b y (fma b t x)) (* (- t 1.0) a))
6.0ms
(* (- t 1.0) a)

series146.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(fma b y (fma b t x))
75.0ms
(- (fma b y (fma b t x)) (* (- t 1.0) a))
29.0ms
(* (- t 1.0) a)

simplify31.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0220321
1828288
25001279

prune219.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma b (- (+ y t) 2.0) x) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
0.0b
(fma b (- (+ y t) 2.0) x)
3.1b
(* (- (* t t) (* 1.0 1.0)) a)
5.0b
(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
30×prod-diff
29×add-sqr-sqrt
25×add-cube-cbrt
16×times-frac
11×add-exp-log add-cbrt-cube
8×associate-/r/
6×pow1 add-log-exp
5×distribute-lft-out
4×expm1-log1p-u flip3-+ associate-*l* associate-*l/ associate-/r* flip-+ log1p-expm1-u div-inv
3×flip3-- fma-neg associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod fma-udef associate-/l/ difference-of-squares
1×sub-neg frac-2neg diff-log pow-prod-down associate--l+ clear-num *-commutative associate-/l* distribute-lft-out-- unswap-sqr
Counts
4 → 112
Calls
4 calls:
9.0ms
(- (fma b (- (+ y t) 2.0) x) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
1.0ms
(fma b (- (+ y t) 2.0) x)
6.0ms
(* (- (* t t) (* 1.0 1.0)) a)
9.0ms
(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

series265.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(- (fma b (- (+ y t) 2.0) x) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
49.0ms
(fma b (- (+ y t) 2.0) x)
41.0ms
(* (- (* t t) (* 1.0 1.0)) a)
60.0ms
(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05802019
125061495
250021489

prune420.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0b
(* (- t 1.0) a)
0.1b
(pow (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)) 3)
45.9b
(cbrt (pow (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)) 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
12×cbrt-prod
7×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod add-log-exp
5×associate-*l*
4×cube-div expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×pow-unpow fma-neg associate-*r* prod-diff
2×cube-mult cbrt-div unpow3 associate-*l/ sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-prod-down pow-exp prod-exp associate--l+ *-commutative rem-cbrt-cube cbrt-unprod fma-udef distribute-lft-out-- rem-cube-cbrt difference-of-squares unswap-sqr
Counts
4 → 97
Calls
4 calls:
4.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
7.0ms
(* (- t 1.0) a)
4.0ms
(pow (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)) 3)
4.0ms
(cbrt (pow (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)) 3))

series2.6s

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
35.0ms
(* (- t 1.0) a)
2.4s
(pow (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)) 3)
76.0ms
(cbrt (pow (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)) 3))

simplify58.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0370937
11567862
25003846

prune357.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes212.0ms

Accuracy

91.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 6.6b

bsearch136.0ms

Steps
ItersRangePoint
7
1.464340910040964e-45
3.315632330056035e-44
3.2768003103463893e-44
8
-8.893216635475157e+25
-5.651135004763443e+21
-7.838888393858996e+21

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03919
13919

end0.0ms

sample1.0s

Algorithm
intervals
Results
571.0ms12471×body80valid
1.0ms4×body320valid
0.0ms1×body160valid