Details

Time bar (total: 15.3s)

analyze1.7s

Algorithm
search

sample69.0ms

Algorithm
intervals
Results
29.0ms256×body80valid
16.0ms167×body80nan

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.3b

Counts
2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.7b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.1b
(/ (* z (sqrt (+ t a))) t)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv sqrt-div div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num div-inv associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
7.0ms
(* z (sqrt (+ t a)))
4.0ms
(/ 2.0 (* t 3.0))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series84.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* z (sqrt (+ t a)))
2.0ms
(/ 2.0 (* t 3.0))
52.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
17.0ms
(/ (* z (sqrt (+ t a))) t)

simplify54.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
010121260
150011212

prune239.0ms

Filtered
88 candidates to 113 candidates (-28.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1103113
Fresh000
Picked101
Done000
Total1113114

Merged error: 0.5b

Counts
114 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
3.0b
(log (exp (/ 2.0 (* t 3.0))))
4.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
6.1b
(/ (* z (sqrt (+ t a))) t)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×log-pow frac-sub
7×exp-prod flip3-- flip--
6×associate--r+ add-log-exp
5×pow1
4×cbrt-undiv frac-times associate-*r/ div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg log-prod distribute-lft-in div-inv
2×frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
1×flip3-+ diff-log rem-log-exp flip-+
Counts
4 → 89
Calls
4 calls:
5.0ms
(/ 2.0 (* t 3.0))
4.0ms
(log (exp (/ 2.0 (* t 3.0))))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series72.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 2.0 (* t 3.0))
2.0ms
(log (exp (/ 2.0 (* t 3.0))))
49.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
19.0ms
(/ (* z (sqrt (+ t a))) t)

simplify80.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07631016
13784927
25001926

prune215.0ms

Filtered
79 candidates to 101 candidates (-27.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1001101
Fresh022
Picked011
Done000
Total1004104

Merged error: 0.2b

Counts
104 → 4

localize37.0ms

Local error

Found 4 expressions with local error:

4.3b
(- (* b b) (* c c))
7.6b
(* t (- (* b b) (* c c)))
8.1b
(+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
21.2b
(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
260×associate-*r/
147×flip3-+ flip-+
128×frac-times frac-add distribute-neg-frac
96×sqrt-div
66×associate-/l/
64×associate-*l/
50×flip3-- flip--
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-log-exp
8×add-cube-cbrt *-un-lft-identity
6×pow1
4×distribute-rgt-in distribute-lft-in associate-*r*
3×sub-neg times-frac div-sub associate-*l* associate-/l*
2×cbrt-undiv neg-sub0 associate-+r- associate-+l+ associate-+r+ distribute-neg-in div-exp unsub-neg prod-exp sum-log associate-/r/ cbrt-unprod difference-of-squares
1×+-commutative frac-2neg diff-log pow-prod-down neg-log clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
4 → 213
Calls
4 calls:
4.0ms
(- (* b b) (* c c))
6.0ms
(* t (- (* b b) (* c c)))
15.0ms
(+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
35.0ms
(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

series417.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (* b b) (* c c))
16.0ms
(* t (- (* b b) (* c c)))
167.0ms
(+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
227.0ms
(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

simplify109.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
022876919
150036776

prune986.0ms

Filtered
201 candidates to 225 candidates (-11.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2241225
Fresh022
Picked101
Done011
Total2254229

Merged error: 0.0b

Counts
229 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
0.0b
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
0.0b
(+ (* a c) (* 0.8333333333333334 c))
0.4b
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
12×exp-sum
9×associate-*r*
8×add-sqr-sqrt
6×pow1 distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in add-cbrt-cube
5×add-exp-log sub-neg associate--l+
3×associate-*l*
2×diff-log sum-log
1×+-commutative exp-prod distribute-rgt-out flip3-- exp-to-pow flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ rem-exp-log unswap-sqr
Counts
4 → 66
Calls
4 calls:
10.0ms
(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
11.0ms
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
4.0ms
(+ (* a c) (* 0.8333333333333334 c))
6.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series52.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
13.0ms
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
5.0ms
(+ (* a c) (* 0.8333333333333334 c))
8.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify110.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0287596
11035532
23836515
35002510

prune98.0ms

Filtered
52 candidates to 78 candidates (-50.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done011
Total78482

Merged error: 0.0b

Counts
82 → 4

regimes859.0ms

Accuracy

55.9% (4.5b remaining)

Error of 4.9b against oracle of 0.4b and baseline of 10.7b

bsearch6.2s

Steps
ItersRangePoint
10
8.5085815723377e-17
9.608788997711137e-05
9.489455926606134e-05
8
-3.3175894002317183e+27
-1.5962619349793996e+24
-1.6222811513468088e+24

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07653
17653

end0.0ms

analyze1.7s

Algorithm
search

sample1.8s

Algorithm
intervals
Results
827.0ms8000×body80valid
493.0ms4880×body80nan

Profiling

Loading profile data...