Details

Time bar (total: 2.2s)

analyze417.0ms

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
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms5×body80invalid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
07719
17719

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.1b
(/ x (* (- y z) (- t z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 61
Calls
2 calls:
9.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* (- y z) (- t z))
26.0ms
(/ x (* (- y z) (- t z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05099731

prune94.0ms

Filtered
51 candidates to 67 candidates (-31.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New60767
Fresh000
Picked101
Done000
Total61768

Merged error: 0.0b

Counts
68 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
2.1b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
52×*-un-lft-identity times-frac
30×add-cube-cbrt
26×add-exp-log
21×associate-*r* associate-*l*
16×add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
9×div-exp
8×prod-exp
6×associate-/r/ unswap-sqr
5×cbrt-undiv associate-/r*
4×pow1 cbrt-unprod
3×flip3-- flip-- div-inv associate-/l*
2×rec-exp 1-exp add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 109
Calls
2 calls:
5.0ms
(/ x (- t z))
20.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series54.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (- t z))
47.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049951178
149951178

prune113.0ms

Filtered
76 candidates to 115 candidates (-51.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1123115
Fresh246
Picked101
Done000
Total1157122

Merged error: 0.0b

Counts
122 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.3b
(* x (/ 1 (- t z)))
2.1b
(* (/ 1 (- y z)) (* x (/ 1 (- t z))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
81×add-exp-log
59×add-sqr-sqrt
53×*-un-lft-identity
47×times-frac
40×prod-exp
32×add-cube-cbrt
31×add-cbrt-cube
24×associate-*l*
22×div-exp associate-*r*
12×cbrt-unprod
11×pow1 rec-exp 1-exp
10×distribute-lft-out-- difference-of-squares
7×cbrt-undiv
6×associate-/r/
5×associate-*r/ associate-/r*
4×pow-prod-down
3×flip3-- un-div-inv flip-- div-inv associate-/l* add-log-exp unswap-sqr
2×frac-times *-commutative
1×pow-flip frac-2neg associate-*l/ clear-num inv-pow
Counts
3 → 148
Calls
3 calls:
5.0ms
(/ 1 (- t z))
11.0ms
(* x (/ 1 (- t z)))
15.0ms
(* (/ 1 (- y z)) (* x (/ 1 (- t z))))

series54.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- t z))
7.0ms
(* x (/ 1 (- t z)))
42.0ms
(* (/ 1 (- y z)) (* x (/ 1 (- t z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
054051277

prune125.0ms

Filtered
83 candidates to 157 candidates (-89.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1561157
Fresh066
Picked011
Done000
Total1568164

Merged error: 0b

Counts
164 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.9b
(* (* (cbrt x) (/ (cbrt x) (- y z))) (/ (cbrt x) (- t z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt *-un-lft-identity associate-*r*
30×times-frac
25×add-exp-log
24×cbrt-prod add-cube-cbrt
16×add-cbrt-cube
10×prod-exp cbrt-unprod
9×pow1
6×distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp
4×add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
2×associate-/r/
1×frac-times flip3-- associate-*l* associate-*l/ *-commutative flip-- div-inv
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(* (* (cbrt x) (/ (cbrt x) (- y z))) (/ (cbrt x) (- t z)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(cbrt x)
30.0ms
(* (* (cbrt x) (/ (cbrt x) (- y z))) (/ (cbrt x) (- t z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049121015
149121015

prune68.0ms

Filtered
66 candidates to 107 candidates (-62.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh066
Picked011
Done011
Total1078115

Merged error: 0b

Counts
115 → 8

regimes284.0ms

Accuracy

5.8% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.3b

bsearch31.0ms

Steps
ItersRangePoint
6
6.660954028415602e-162
4.609278008269784e-161
8.900490363783676e-162
10
-1.1449359163341982e-233
-3.96434117682428e-246
-4.715925227576331e-242

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04943
14943

end0.0ms

sample434.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid
10.0ms380×body80invalid

Profiling

Loading profile data...