Details

Time bar (total: 3.5s)

analyze1.1s

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
0%99.8%0.2%8
0%99.8%0.2%9
0.4%99.4%0.2%10
5.6%94.2%0.2%11
7.1%92.7%0.2%12
8.8%91%0.2%13
15.6%84.2%0.2%14

sample29.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
5.0ms14×body80invalid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
0494313
1494313

prune13.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (+ t (- 1.0 z)))
0.8b
(* a (/ (- z y) (+ t (- 1.0 z))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×associate-*l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 102
Calls
2 calls:
9.0ms
(/ (- z y) (+ t (- 1.0 z)))
15.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

series33.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ (- z y) (+ t (- 1.0 z)))
23.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
052211323

prune123.0ms

Filtered
64 candidates to 108 candidates (-68.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh011
Picked011
Done000
Total1064110

Merged error: 0b

Counts
110 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
8.8b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 frac-2neg div-sub clear-num add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 175
Calls
2 calls:
8.0ms
(/ (+ (- t z) 1.0) a)
15.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series35.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (+ (- t z) 1.0) a)
28.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify62.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
058773171

prune159.0ms

Filtered
103 candidates to 181 candidates (-75.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1801181
Fresh112
Picked011
Done011
Total1814185

Merged error: 0b

Counts
185 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
8.5b
(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
31×times-frac
29×add-sqr-sqrt
22×add-cube-cbrt
21×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
8×distribute-lft-out--
5×associate-*l* associate-/r*
4×pow1 associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times flip3-- flip3-+ div-exp associate-*l/ prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative difference-of-squares
Counts
2 → 83
Calls
2 calls:
8.0ms
(/ a (+ (- t z) 1.0))
15.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

series27.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ a (+ (- t z) 1.0))
18.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

simplify37.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
053821000

prune90.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done022
Total89493

Merged error: 0b

Counts
93 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ a (sqrt (+ t (- 1.0 z))))
0.1b
(/ (- z y) (sqrt (+ t (- 1.0 z))))
1.9b
(* (/ a (sqrt (+ t (- 1.0 z)))) (/ (- z y) (sqrt (+ t (- 1.0 z)))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
199×*-un-lft-identity
140×times-frac
139×add-sqr-sqrt
96×sqrt-prod
75×add-cube-cbrt
46×associate-*r*
36×distribute-lft-out
35×distribute-lft-out--
30×associate-*l*
19×add-exp-log add-cbrt-cube
17×difference-of-squares
16×associate-/r*
9×unswap-sqr
8×sqrt-div associate-/r/ associate-/l*
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv
3×add-log-exp
2×frac-2neg clear-num associate-/l/
1×frac-times flip3-- div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
3 → 224
Calls
3 calls:
8.0ms
(/ a (sqrt (+ t (- 1.0 z))))
10.0ms
(/ (- z y) (sqrt (+ t (- 1.0 z))))
41.0ms
(* (/ a (sqrt (+ t (- 1.0 z)))) (/ (- z y) (sqrt (+ t (- 1.0 z)))))

series67.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(/ a (sqrt (+ t (- 1.0 z))))
26.0ms
(/ (- z y) (sqrt (+ t (- 1.0 z))))
25.0ms
(* (/ a (sqrt (+ t (- 1.0 z)))) (/ (- z y) (sqrt (+ t (- 1.0 z)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049993981
149993981

prune290.0ms

Filtered
128 candidates to 233 candidates (-82.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2330233
Fresh000
Picked011
Done033
Total2334237

Merged error: 0b

Counts
237 → 4

regimes483.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03313
13313

end0.0ms

sample600.0ms

Algorithm
intervals
Results
332.0ms7998×body80valid
19.0ms488×body80invalid
0.0ms1×body640valid
0.0ms1×body160valid

Profiling

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