Details

Time bar (total: 8.0s)

analyze1.0s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.3%0.2%12
12.2%87.5%0.2%13
21.9%77.7%0.4%14

sample27.0ms

Algorithm
intervals
Results
8.0ms206×body80valid
3.0ms21×body640valid
1.0ms6×body1280valid
1.0ms14×body160valid
1.0ms9×body320valid
1.0ms23×body80invalid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (105.0ms)

IterNodesCost
0507813

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.6b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.8b
(+ x (* (- y z) (/ (- t x) (- a z))))
8.3b
(* (- y z) (/ (- t x) (- a z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
7.0ms
(/ (- t x) (- a z))
3.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
16.0ms
(* (- y z) (/ (- t x) (- a z)))

series96.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ (- t x) (- a z))
48.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
37.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
056461598

prune167.0ms

Filtered
88 candidates to 128 candidates (-45.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New11711128
Fresh000
Picked101
Done000
Total11811129

Merged error: 2.6b

Counts
129 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
1.3b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
9.0b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
59×*-un-lft-identity
52×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
17×associate-*l*
16×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 add-log-exp unswap-sqr
5×frac-times
3×associate-*r/ associate-*l/
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
33.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
3.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
25.0ms
(cbrt (- a z))
54.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
50.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049572493
149572493

prune200.0ms

Filtered
108 candidates to 146 candidates (-35.2%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1433146
Fresh2810
Picked011
Done000
Total14512157

Merged error: 2.6b

Counts
157 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.8b
(* (/ (- y z) (- a z)) (- t x))
3.6b
(+ x (pow (* (/ (- y z) (- a z)) (- t x)) 1))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
75×*-un-lft-identity
51×times-frac
31×associate-*l*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+ distribute-lft-out
Counts
3 → 122
Calls
3 calls:
7.0ms
(/ (- y z) (- a z))
14.0ms
(* (/ (- y z) (- a z)) (- t x))
4.0ms
(+ x (pow (* (/ (- y z) (- a z)) (- t x)) 1))

series117.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ (- y z) (- a z))
55.0ms
(* (/ (- y z) (- a z)) (- t x))
52.0ms
(+ x (pow (* (/ (- y z) (- a z)) (- t x)) 1))

simplify50.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
055351659

prune151.0ms

Filtered
89 candidates to 131 candidates (-47.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1292131
Fresh3710
Picked011
Done011
Total13211143

Merged error: 2.6b

Counts
143 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.3b
(/ 1 (/ (- a z) (- y z)))
2.8b
(* (/ 1 (/ (- a z) (- y z))) (- t x))
3.6b
(+ x (pow (* (/ 1 (/ (- a z) (- y z))) (- t x)) 1))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
338×add-sqr-sqrt
328×*-un-lft-identity
158×add-cube-cbrt
98×associate-*l*
83×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
11×flip3-- flip--
10×div-inv
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×associate-*r* unswap-sqr
4×rec-exp 1-exp
3×cbrt-unprod
2×frac-times sub-neg frac-2neg associate-*r/ clear-num associate-/l/
1×+-commutative distribute-rgt-in pow-flip distribute-lft-in flip3-+ div-sub pow-prod-down associate-*l/ sum-log *-commutative flip-+ distribute-lft-out inv-pow
Counts
4 → 346
Calls
4 calls:
7.0ms
(/ (- a z) (- y z))
12.0ms
(/ 1 (/ (- a z) (- y z)))
28.0ms
(* (/ 1 (/ (- a z) (- y z))) (- t x))
4.0ms
(+ x (pow (* (/ 1 (/ (- a z) (- y z))) (- t x)) 1))

series125.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ (- a z) (- y z))
16.0ms
(/ 1 (/ (- a z) (- y z)))
52.0ms
(* (/ 1 (/ (- a z) (- y z))) (- t x))
48.0ms
(+ x (pow (* (/ 1 (/ (- a z) (- y z))) (- t x)) 1))

simplify74.0ms

Algorithm
egg-herbie
Counts
358 → 358
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
057564992

prune322.0ms

Filtered
215 candidates to 358 candidates (-66.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3571358
Fresh178
Picked101
Done112
Total3609369

Merged error: 2.6b

Counts
369 → 9

regimes464.0ms

Accuracy

27.5% (6.2b remaining)

Error of 9.8b against oracle of 3.6b and baseline of 12.2b

bsearch2.6s

Steps
ItersRangePoint
10
1.4759599911934501e-126
1.3012842032274016e-109
1.8196327346072498e-125
6
-8.445828771261437e-71
-1.6694491492755415e-71
-2.0863673875242188e-71

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03554
13554

end0.0ms

analyze1.3s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.3%0.2%12
12.2%87.5%0.2%13
21.9%77.7%0.4%14

sample769.0ms

Algorithm
intervals
Results
260.0ms6483×body80valid
77.0ms508×body640valid
49.0ms281×body1280valid
47.0ms424×body320valid
44.0ms1192×body80invalid
20.0ms286×body160valid
4.0ms18×body2560valid

Profiling

Loading profile data...