Details

Time bar (total: 7.0s)

sample84.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
25.0ms277×body80nan

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110817
238917
3176117
4500217

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.7b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.5b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.8b
(/ (* z (sqrt (+ t a))) t)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
63×prod-diff
62×associate--r+
49×add-sqr-sqrt
45×add-cube-cbrt
36×times-frac
31×distribute-rgt-in distribute-lft-in
20×frac-sub
16×add-exp-log add-cbrt-cube
15×distribute-lft-out
12×div-inv
9×flip3-- flip--
8×frac-times associate-*r/
7×fma-neg associate-*r*
6×pow1 add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv expm1-log1p-u sqrt-div div-exp associate-/r* log1p-expm1-u associate-/l*
3×sub-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 179
Calls
4 calls:
7.0ms
(* z (sqrt (+ t a)))
5.0ms
(/ 2.0 (* t 3.0))
24.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series342.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
180.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
82.0ms
(/ (* z (sqrt (+ t a))) t)

simplify54.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013772637
150012324

prune840.0ms

Filtered
191 candidates to 137 candidates (71.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1874191
Fresh000
Picked101
Done000
Total1884192

Merged error: 0.2b

Counts
192 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.2b
(/ (sqrt (+ t a)) t)
0.3b
(/ 2.0 (* t 3.0))
2.6b
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
60×add-sqr-sqrt
56×prod-diff
54×add-cube-cbrt
48×times-frac
31×distribute-rgt-in distribute-lft-in
19×distribute-lft-out
16×sqrt-prod
13×add-exp-log add-cbrt-cube
10×div-inv associate-/l*
8×frac-times flip3-- flip--
6×pow1 associate-*r* frac-sub
5×associate-*l*
4×expm1-log1p-u flip3-+ associate-*r/ associate-/r* flip-+ log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp distribute-lft-out--
2×sub-neg frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/ difference-of-squares
1×pow-prod-down *-commutative fma-udef unswap-sqr
Counts
4 → 181
Calls
4 calls:
19.0ms
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
6.0ms
(/ (sqrt (+ t a)) t)
5.0ms
(/ 2.0 (* t 3.0))
1.0ms
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
58.0ms
(/ (sqrt (+ t a)) t)
20.0ms
(/ 2.0 (* t 3.0))
211.0ms
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify126.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
08942691
140232163
250022158

prune651.0ms

Filtered
193 candidates to 107 candidates (55.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1921193
Fresh123
Picked101
Done000
Total1943197

Merged error: 0b

Counts
197 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.6666666666666666 (/ b t))
0.2b
(/ (sqrt (+ t a)) t)
1.2b
(fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))
2.6b
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
33×add-sqr-sqrt
31×times-frac
28×add-cube-cbrt
16×sqrt-prod
13×associate-*r*
11×add-exp-log add-cbrt-cube
7×associate-/l*
6×pow1
4×expm1-log1p-u log1p-expm1-u distribute-lft-out add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod fma-udef div-inv associate-/l/ unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
4 → 101
Calls
4 calls:
7.0ms
(* 0.6666666666666666 (/ b t))
6.0ms
(/ (sqrt (+ t a)) t)
1.0ms
(fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))
1.0ms
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))))

series355.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 0.6666666666666666 (/ b t))
61.0ms
(/ (sqrt (+ t a)) t)
39.0ms
(fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))
237.0ms
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))))

simplify46.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0419756
11551683
25001673

prune671.0ms

Filtered
113 candidates to 81 candidates (71.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done000
Total1133116

Merged error: 0b

Counts
116 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))
0.0b
(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
0.0b
(- (* 0.8333333333333334 c) (* a b))
1.3b
(fma c a (- (* 0.8333333333333334 c) (* a b)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×add-exp-log associate-*r* fma-udef
4×expm1-log1p-u exp-sum log1p-expm1-u
3×associate-*l*
2×distribute-rgt-in distribute-lft-in
1×sub-neg exp-prod flip3-- exp-to-pow fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative flip-- cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 62
Calls
4 calls:
5.0ms
(* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))
2.0ms
(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
4.0ms
(- (* 0.8333333333333334 c) (* a b))
1.0ms
(fma c a (- (* 0.8333333333333334 c) (* a b)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))
38.0ms
(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
40.0ms
(- (* 0.8333333333333334 c) (* a b))
42.0ms
(fma c a (- (* 0.8333333333333334 c) (* a b)))

simplify85.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0248499
1823438
23345438
35001430

prune204.0ms

Filtered
74 candidates to 57 candidates (77.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh011
Picked011
Done011
Total74377

Merged error: 0b

Counts
77 → 3

regimes350.0ms

Accuracy

29.8% (9.9b remaining)

Error of 10.5b against oracle of 0.6b and baseline of 14.7b

bsearch290.0ms

Steps
ItersRangePoint
7
4.305180418474569e+19
2.2208182270000046e+21
2.194466201231742e+21
8
-345573536863.9385
-21543444.14585843
-22001314.682328153

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05926
15926

end0.0ms

sample2.1s

Algorithm
intervals
Results
759.0ms8000×body80valid
722.0ms8023×body80nan

Profiling

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