Details

Time bar (total: 3.8s)

analyze1.0s

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

sample47.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
0494313
1494313

prune12.0ms

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:

0.1b
(/ (- z y) (+ t (- 1.0 z)))
1.1b
(* 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))))

series31.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (- z y) (+ t (- 1.0 z)))
21.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
052211323

prune135.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1035108
Fresh011
Picked101
Done000
Total1046110

Merged error: 0b

Counts
110 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (+ t (- 1.0 z))) (/ y (+ t (- 1.0 z))))
0.0b
(/ z (+ t (- 1.0 z)))
0.0b
(/ y (+ t (- 1.0 z)))
1.1b
(* a (- (/ z (+ t (- 1.0 z))) (/ y (+ t (- 1.0 z)))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
186×*-un-lft-identity
82×times-frac
56×add-sqr-sqrt
44×distribute-lft-out--
40×distribute-lft-out
30×add-cube-cbrt
22×associate-*r*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×difference-of-squares
6×pow1 distribute-rgt-out-- flip3-+ flip-+ div-inv associate-/l* add-log-exp
4×associate-*r/
3×sub-neg associate-*l*
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num frac-sub flip-- sub-div
1×distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 149
Calls
4 calls:
33.0ms
(- (/ z (+ t (- 1.0 z))) (/ y (+ t (- 1.0 z))))
7.0ms
(/ z (+ t (- 1.0 z)))
7.0ms
(/ y (+ t (- 1.0 z)))
35.0ms
(* a (- (/ z (+ t (- 1.0 z))) (/ y (+ t (- 1.0 z)))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (/ z (+ t (- 1.0 z))) (/ y (+ t (- 1.0 z))))
6.0ms
(/ z (+ t (- 1.0 z)))
8.0ms
(/ y (+ t (- 1.0 z)))
41.0ms
(* a (- (/ z (+ t (- 1.0 z))) (/ y (+ t (- 1.0 z)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
053052095

prune194.0ms

Filtered
103 candidates to 161 candidates (-56.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1601161
Fresh145
Picked011
Done000
Total1616167

Merged error: 0b

Counts
167 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.7b
(* (/ (- z y) (+ t (- 1.0 z))) (cbrt a))
0.7b
(* (* (cbrt a) (cbrt a)) (* (/ (- z y) (+ t (- 1.0 z))) (cbrt a)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
39×add-sqr-sqrt
32×associate-*l*
30×add-exp-log
27×times-frac
19×add-cube-cbrt
18×pow1 add-cbrt-cube
15×prod-exp cbrt-unprod
11×cbrt-prod
10×distribute-lft-out distribute-lft-out--
9×pow-prod-down
7×associate-*r*
5×difference-of-squares
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp
2×pow1/3 associate-*l/ associate-/r/ *-commutative
1×flip3-+ associate-*r/ flip-+ div-inv
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
16.0ms
(* (/ (- z y) (+ t (- 1.0 z))) (cbrt a))
20.0ms
(* (* (cbrt a) (cbrt a)) (* (/ (- z y) (+ t (- 1.0 z))) (cbrt a)))

series116.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a)
22.0ms
(cbrt a)
51.0ms
(* (/ (- z y) (+ t (- 1.0 z))) (cbrt a))
22.0ms
(* (* (cbrt a) (cbrt a)) (* (/ (- z y) (+ t (- 1.0 z))) (cbrt a)))

simplify42.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
053241230

prune112.0ms

Filtered
70 candidates to 116 candidates (-65.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh044
Picked011
Done011
Total1166122

Merged error: 0b

Counts
122 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ t (- 1.0 z)))
10.2b
(* (/ a (+ t (- 1.0 z))) (- z y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
31×times-frac
29×add-sqr-sqrt
22×add-cube-cbrt
21×associate-*l*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
8×distribute-lft-out--
5×associate-*r* associate-/r*
4×pow1 associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times sub-neg flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative difference-of-squares
Counts
2 → 85
Calls
2 calls:
7.0ms
(/ a (+ t (- 1.0 z)))
14.0ms
(* (/ a (+ t (- 1.0 z))) (- z y))

series32.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ a (+ t (- 1.0 z)))
24.0ms
(* (/ a (+ t (- 1.0 z))) (- z y))

simplify42.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050531096

prune93.0ms

Filtered
60 candidates to 91 candidates (-51.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New90191
Fresh123
Picked011
Done022
Total91697

Merged error: 0b

Counts
97 → 6

regimes368.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04119
14119

end0.0ms

sample1.1s

Algorithm
intervals
Results
274.0ms7996×body80valid
0.0ms3×body640valid
0.0ms1×body1280valid

Profiling

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