Details

Time bar (total: 2.0s)

analyze385.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56.4%3.7%10
46.9%48.7%4.4%11
48%45.8%6.2%12
58.1%32.2%9.7%13
62.1%27.2%10.6%14

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms34×body80invalid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049309
149309

prune10.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y 1.0) z)
3.0b
(* x (/ (+ y 1.0) z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
5.0ms
(/ (+ y 1.0) z)
9.0ms
(* x (/ (+ y 1.0) z))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ y 1.0) z)
8.0ms
(* x (/ (+ y 1.0) z))

simplify37.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04998625
14998625

prune102.0ms

Filtered
49 candidates to 74 candidates (-51.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New67774
Fresh101
Picked011
Done000
Total68876

Merged error: 0b

Counts
76 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ y 1.0) (/ 1 z))
3.0b
(* x (* (+ y 1.0) (/ 1 z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×*-un-lft-identity associate-*r*
13×prod-exp
11×add-cube-cbrt times-frac
9×pow1
8×associate-*r/
7×associate-*l* cbrt-unprod
4×frac-times flip3-+ div-exp pow-prod-down associate-*l/ flip-+
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative add-log-exp
1×div-inv distribute-lft-out
Counts
2 → 69
Calls
2 calls:
9.0ms
(* (+ y 1.0) (/ 1 z))
11.0ms
(* x (* (+ y 1.0) (/ 1 z)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (+ y 1.0) (/ 1 z))
8.0ms
(* x (* (+ y 1.0) (/ 1 z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04978572
14978572

prune81.0ms

Filtered
44 candidates to 75 candidates (-70.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh066
Picked011
Done011
Total75883

Merged error: 0b

Counts
83 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ y 1.0))
0.2b
(cbrt (+ y 1.0))
0.2b
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
3.1b
(* (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ y 1.0)) z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
44×cbrt-prod
40×cbrt-div
36×add-sqr-sqrt
32×associate-*r*
28×add-cube-cbrt
27×add-exp-log
23×associate-*r/
21×times-frac
20×pow1 frac-times flip3-+ flip-+
18×add-cbrt-cube
14×associate-*l/
13×prod-exp cbrt-unprod
11×distribute-lft-out
9×swap-sqr
8×pow1/3 associate-*l* pow-prod-down
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus div-inv
Counts
4 → 147
Calls
4 calls:
3.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
9.0ms
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
19.0ms
(* (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ y 1.0)) z))

series27.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ y 1.0))
6.0ms
(cbrt (+ y 1.0))
7.0ms
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
8.0ms
(* (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ y 1.0)) z))

simplify71.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049302018
149302018

prune263.0ms

Filtered
104 candidates to 159 candidates (-52.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1581159
Fresh235
Picked101
Done022
Total1616167

Merged error: 0b

Counts
167 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

3.9b
(* (/ x z) (+ y 1.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
4×associate-*r*
3×pow1
2×frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out add-log-exp
Counts
1 → 39
Calls
1 calls:
8.0ms
(* (/ x z) (+ y 1.0))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* (/ x z) (+ y 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04969377
14969377

prune39.0ms

Filtered
30 candidates to 42 candidates (-40.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New42042
Fresh033
Picked011
Done022
Total42648

Merged error: 0b

Counts
48 → 6

regimes177.0ms

Accuracy

77.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.7b

bsearch24.0ms

Steps
ItersRangePoint
7
5.862676283541656e-121
1.3672219549298885e-118
1.3367631851331907e-118
7
-42399796818807624.0
-247329413956655.94
-1.791135204728718e+16

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03835
13835

end0.0ms

sample474.0ms

Algorithm
intervals
Results
250.0ms8000×body80valid
34.0ms1038×body80invalid

Profiling

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