Details

Time bar (total: 2.6s)

analyze626.0ms

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
0%99.8%0.2%8
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.9%73.3%0.8%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms50×body80invalid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
07339
17339

prune15.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z x) t)))
0.0b
(/ (- z x) t)
7.1b
(* y (/ (- z x) t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z x) t)))
5.0ms
(/ (- z x) t)
9.0ms
(* y (/ (- z x) t))

series29.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (* y (/ (- z x) t)))
6.0ms
(/ (- z x) t)
12.0ms
(* y (/ (- z x) t))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05894889

prune114.0ms

Filtered
65 candidates to 96 candidates (-47.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New88896
Fresh011
Picked101
Done000
Total89998

Merged error: 0.0b

Counts
98 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
3.7b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
18.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series83.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
23.0ms
(cbrt t)
21.0ms
(cbrt t)
18.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049381097
149381097

prune127.0ms

Filtered
77 candidates to 116 candidates (-50.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1160116
Fresh088
Picked011
Done000
Total1169125

Merged error: 0.0b

Counts
125 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (* (- z x) (/ 1 t))))
0.3b
(* (- z x) (/ 1 t))
7.1b
(* y (* (- z x) (/ 1 t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
21×add-sqr-sqrt
17×add-cbrt-cube
15×*-un-lft-identity
14×associate-*r*
13×prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
5×add-log-exp
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
1×+-commutative flip3-+ sum-log flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 81
Calls
3 calls:
4.0ms
(+ x (* y (* (- z x) (/ 1 t))))
9.0ms
(* (- z x) (/ 1 t))
9.0ms
(* y (* (- z x) (/ 1 t)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (* y (* (- z x) (/ 1 t))))
6.0ms
(* (- z x) (/ 1 t))
14.0ms
(* y (* (- z x) (/ 1 t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05241760

prune93.0ms

Filtered
56 candidates to 90 candidates (-60.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh257
Picked011
Done011
Total91899

Merged error: 0.0b

Counts
99 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
7.2b
(/ (* y (- z x)) t)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
6.0ms
(* y (- z x))
5.0ms
(+ x (/ (* y (- z x)) t))
7.0ms
(/ (* y (- z x)) t)

series30.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z x))
11.0ms
(+ x (/ (* y (- z x)) t))
12.0ms
(/ (* y (- z x)) t)

simplify38.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05612574

prune55.0ms

Filtered
43 candidates to 68 candidates (-58.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh145
Picked011
Done112
Total69776

Merged error: 0b

Counts
76 → 7

regimes401.0ms

Accuracy

74% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 5.8b

bsearch38.0ms

Steps
ItersRangePoint
10
3.87059811053658e-74
4.524338632082635e-58
4.441376836979871e-58
8
-5.566126665292447e-11
-2.100598730617018e-13
-5.336911252398894e-11

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03837
13837

end0.0ms

sample576.0ms

Algorithm
intervals
Results
258.0ms8000×body80valid
69.0ms2150×body80invalid

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