Details

Time bar (total: 2.8s)

analyze533.0ms

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

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms21×body80invalid

simplify167.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (166.0ms)

IterNodesCost
054879

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.5b
(* x (/ (- y z) (- t z)))

rewrite27.0ms

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)))

series25.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050241163

prune107.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1017108
Fresh011
Picked011
Done000
Total1019110

Merged error: 0.0b

Counts
110 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* (- y z) (/ 1 (- t z)))
2.5b
(* 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))
13.0ms
(* (- y z) (/ 1 (- t z)))
12.0ms
(* x (* (- y z) (/ 1 (- t z))))

series31.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- t z))
9.0ms
(* (- y z) (/ 1 (- t z)))
18.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
059001082

prune114.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh167
Picked011
Done011
Total1289137

Merged error: 0.0b

Counts
137 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

2.5b
(* x (/ (- y z) (- t z)))
5.1b
(cbrt (* x (/ (- y z) (- t z))))
5.1b
(cbrt (* x (/ (- y z) (- t z))))
5.1b
(cbrt (* x (/ (- y z) (- t z))))

rewrite40.0ms

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)))
8.0ms
(cbrt (* x (/ (- y z) (- t z))))
8.0ms
(cbrt (* x (/ (- y z) (- t z))))
8.0ms
(cbrt (* x (/ (- y z) (- t z))))

series173.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* x (/ (- y z) (- t z)))
51.0ms
(cbrt (* x (/ (- y z) (- t z))))
53.0ms
(cbrt (* x (/ (- y z) (- t z))))
52.0ms
(cbrt (* x (/ (- y z) (- t z))))

simplify32.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05081929

prune116.0ms

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: 0.0b

Counts
101 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
8.2b
(* (* x (* (cbrt (- y z)) (cbrt (- y z)))) (/ (cbrt (- y z)) (- t z)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt *-un-lft-identity
46×associate-*r*
40×cbrt-prod times-frac
30×cbrt-div
26×add-cube-cbrt
25×add-exp-log
21×associate-*r/
18×add-cbrt-cube
16×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
13×pow1
12×associate-*l/ prod-exp cbrt-unprod
6×pow-prod-down
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 132
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
37.0ms
(* (* x (* (cbrt (- y z)) (cbrt (- y z)))) (/ (cbrt (- y z)) (- t z)))

series96.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- y z))
26.0ms
(cbrt (- y z))
29.0ms
(cbrt (- y z))
16.0ms
(* (* x (* (cbrt (- y z)) (cbrt (- y z)))) (/ (cbrt (- y z)) (- t z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049522143
149522143

prune111.0ms

Filtered
96 candidates to 144 candidates (-50.0%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1440144
Fresh055
Picked011
Done033
Total1449153

Merged error: 0.0b

Counts
153 → 9

regimes409.0ms

Accuracy

38.6% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03653
13653

end0.0ms

sample481.0ms

Algorithm
intervals
Results
242.0ms8000×body80valid
25.0ms653×body80invalid

Profiling

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