Details

Time bar (total: 3.0s)

analyze739.0ms

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
3.1%96.7%0.2%8
19.9%79.9%0.2%9
22.8%77%0.2%10
35.1%64.7%0.2%11
45%54.8%0.2%12
53.8%45.1%1.2%13
56.2%42.4%1.5%14

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms20×body80invalid

simplify171.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (170.0ms)

IterNodesCost
054039

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.4b
(* (/ (- x y) (- z y)) t)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 associate-/r/
flip3-- associate-*r* flip--
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
11.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series30.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- x y) (- z y))
22.0ms
(* (/ (- x y) (- z y)) t)

simplify49.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
056491183

prune108.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1026108
Fresh011
Picked101
Done000
Total1037110

Merged error: 0.0b

Counts
110 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
1.4b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
distribute-lft-out-- difference-of-squares
cbrt-unprod
flip3-- div-exp associate-*l* flip--
associate-/r*
frac-times pow-prod-down associate-/r/
cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
associate-*r/ un-div-inv *-commutative div-inv
pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
7.0ms
(/ 1 (- z y))
13.0ms
(* (- x y) (/ 1 (- z y)))
12.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series35.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z y))
9.0ms
(* (- x y) (/ 1 (- z y)))
21.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify52.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
058481083

prune113.0ms

Filtered
75 candidates to 128 candidates (-70.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1280128
Fresh066
Picked011
Done000
Total1287135

Merged error: 0.0b

Counts
135 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.9b
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
0.9b
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
39×*-un-lft-identity
34×add-exp-log
32×associate-*l*
26×times-frac
21×add-cbrt-cube
19×add-cube-cbrt
18×pow1
17×prod-exp cbrt-unprod
10×distribute-lft-out-- difference-of-squares
cbrt-prod pow-prod-down
associate-*r*
cbrt-undiv div-exp add-log-exp
associate-*l/
pow1/3 associate-/r/ *-commutative unswap-sqr
flip3-- flip-- div-inv
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
18.0ms
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
14.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

series130.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt t)
23.0ms
(cbrt t)
27.0ms
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
57.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

simplify38.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
051161185

prune96.0ms

Filtered
69 candidates to 116 candidates (-68.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh055
Picked011
Done011
Total1158123

Merged error: 0b

Counts
123 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt (cbrt t))
0.6b
(cbrt (* (cbrt t) (cbrt t)))
1.2b
(* (/ (- x y) (- z y)) (* (cbrt t) (* (cbrt t) (cbrt (* (cbrt t) (cbrt t))))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
31×associate-*l*
25×add-exp-log times-frac
18×add-cube-cbrt
17×add-cbrt-cube
13×pow1 cbrt-prod
12×prod-exp cbrt-unprod
10×distribute-lft-out-- difference-of-squares
pow-prod-down
add-log-exp
cbrt-undiv pow1/3 div-exp
associate-/r/
flip3-- associate-*r* associate-*l/ *-commutative flip-- div-inv
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt (cbrt t))
4.0ms
(cbrt (* (cbrt t) (cbrt t)))
16.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (* (cbrt t) (cbrt (* (cbrt t) (cbrt t))))))

series176.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
30.0ms
(cbrt (cbrt t))
37.0ms
(cbrt (* (cbrt t) (cbrt t)))
86.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (* (cbrt t) (cbrt (* (cbrt t) (cbrt t))))))

simplify41.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
054861175

prune90.0ms

Filtered
67 candidates to 102 candidates (-52.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh055
Picked011
Done022
Total1028110

Merged error: 0b

Counts
110 → 8

regimes432.0ms

Accuracy

6.5% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03130
13130

end0.0ms

sample482.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid
24.0ms626×body80invalid

Profiling

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