Details

Time bar (total: 3.1s)

analyze510.0ms

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
7%92.8%0.2%8
19.1%80.7%0.2%9
29.8%70%0.2%10
31.3%68.5%0.2%11
42.3%57.2%0.6%12
53.3%45.5%1.2%13
59.2%39.3%1.5%14

sample21.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms19×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0569
1569

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: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.0b
(* x (/ (- y z) (- t z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- y z) (- t z))
12.0ms
(* x (/ (- y z) (- t z)))

series29.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- y z) (- t z))
16.0ms
(* x (/ (- y z) (- t z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
052851165

prune112.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1008108
Fresh011
Picked011
Done000
Total10010110

Merged error: 0b

Counts
110 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.3b
(* (- y z) (/ 1 (- t z)))
2.0b
(* x (* (- y z) (/ 1 (- t z))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- t z))
12.0ms
(* (- y z) (/ 1 (- t z)))
11.0ms
(* x (* (- y z) (/ 1 (- t z))))

series32.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- t z))
12.0ms
(* (- y z) (/ 1 (- t z)))
16.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
052181083

prune117.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh268
Picked011
Done011
Total1299138

Merged error: 0b

Counts
138 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

2.0b
(* x (/ (- y z) (- t z)))
5.3b
(cbrt (* x (/ (- y z) (- t z))))
5.3b
(cbrt (* x (/ (- y z) (- t z))))
5.3b
(cbrt (* x (/ (- y z) (- t z))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*r*
26×times-frac
16×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*r/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative flip-- div-inv
Counts
4 → 80
Calls
4 calls:
13.0ms
(* x (/ (- y z) (- t z)))
7.0ms
(cbrt (* x (/ (- y z) (- t z))))
8.0ms
(cbrt (* x (/ (- y z) (- t z))))
8.0ms
(cbrt (* x (/ (- y z) (- t z))))

series179.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* x (/ (- y z) (- t z)))
53.0ms
(cbrt (* x (/ (- y z) (- t z))))
55.0ms
(cbrt (* x (/ (- y z) (- t z))))
55.0ms
(cbrt (* x (/ (- y z) (- t z))))

simplify41.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05364932

prune101.0ms

Filtered
70 candidates to 92 candidates (-31.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh066
Picked011
Done022
Total929101

Merged error: 0b

Counts
101 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
6.5b
(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
60×*-un-lft-identity
50×times-frac
46×associate-*r*
42×cbrt-prod
28×add-cube-cbrt
25×add-exp-log
20×cbrt-div
18×add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
15×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 136
Calls
4 calls:
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
32.0ms
(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

series106.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- t z))
25.0ms
(cbrt (- t z))
29.0ms
(cbrt (- t z))
26.0ms
(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

simplify80.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049532005
149532005

prune139.0ms

Filtered
112 candidates to 148 candidates (-32.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1471148
Fresh145
Picked011
Done123
Total1498157

Merged error: 0b

Counts
157 → 8

regimes365.0ms

Accuracy

35.7% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02653
12653

end0.0ms

analyze493.0ms

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
7%92.8%0.2%8
19.1%80.7%0.2%9
29.8%70%0.2%10
31.3%68.5%0.2%11
42.3%57.2%0.6%12
53.3%45.5%1.2%13
59.2%39.3%1.5%14

sample460.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid
20.0ms622×body80invalid

Profiling

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