Details

Time bar (total: 5.4s)

analyze1.2s

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
2.3%97.4%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
33.3%66.5%0.2%14

sample25.0ms

Algorithm
intervals
Results
9.0ms255×body80valid
1.0ms24×body80invalid
0.0ms1×body1280valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1355
2565
3945
41505
51855
62035
72305
82805
93685
104575
117235
129225
1310385
1410605
1510605

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
2.0b
(* y (/ (- z t) (- z a)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z t) (- z a))))
8.0ms
(/ (- z t) (- z a))
17.0ms
(* y (/ (- z t) (- z a)))

series50.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ x (* y (/ (- z t) (- z a))))
9.0ms
(/ (- z t) (- z a))
16.0ms
(* y (/ (- z t) (- z a)))

simplify48.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0423747
11655704
25001704

prune138.0ms

Filtered
83 candidates to 122 candidates (-47.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1175122
Fresh000
Picked011
Done000
Total1176123

Merged error: 0b

Counts
123 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b
(/ (- z a) (- z t))
0.3b
(/ 1 (/ (- z a) (- z t)))
2.0b
(* y (/ 1 (/ (- z a) (- z t))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
336×add-sqr-sqrt
324×*-un-lft-identity
158×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/l/
1×+-commutative pow-flip flip3-+ div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 338
Calls
4 calls:
3.0ms
(+ x (* y (/ 1 (/ (- z a) (- z t)))))
9.0ms
(/ (- z a) (- z t))
20.0ms
(/ 1 (/ (- z a) (- z t)))
45.0ms
(* y (/ 1 (/ (- z a) (- z t))))

series81.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ x (* y (/ 1 (/ (- z a) (- z t)))))
9.0ms
(/ (- z a) (- z t))
21.0ms
(/ 1 (/ (- z a) (- z t)))
25.0ms
(* y (/ 1 (/ (- z a) (- z t))))

simplify118.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
09542831
147752542
250022256

prune247.0ms

Filtered
183 candidates to 350 candidates (-91.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3491350
Fresh224
Picked101
Done011
Total3524356

Merged error: 0b

Counts
356 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (/ y (- z a)) (/ 1 (/ 1 (- z t)))))
0.0b
(/ 1 (- z t))
0.2b
(/ 1 (/ 1 (- z t)))
9.7b
(* (/ y (- z a)) (/ 1 (/ 1 (- z t))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
231×add-sqr-sqrt
196×*-un-lft-identity
130×add-cube-cbrt
106×add-exp-log
68×associate-*r*
57×div-exp
32×add-cbrt-cube
28×distribute-lft-out-- difference-of-squares
26×prod-exp associate-/r*
22×rec-exp 1-exp
21×associate-*l*
20×associate-/r/
14×unswap-sqr
13×cbrt-undiv
11×div-inv
9×pow1 flip3-- flip--
6×cbrt-unprod associate-/l* add-log-exp
5×pow-flip
3×inv-pow
2×frac-2neg clear-num
1×+-commutative frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ sum-log un-div-inv *-commutative flip-+ remove-double-div
Counts
4 → 317
Calls
4 calls:
2.0ms
(+ x (* (/ y (- z a)) (/ 1 (/ 1 (- z t)))))
5.0ms
(/ 1 (- z t))
9.0ms
(/ 1 (/ 1 (- z t)))
61.0ms
(* (/ y (- z a)) (/ 1 (/ 1 (- z t))))

series56.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ x (* (/ y (- z a)) (/ 1 (/ 1 (- z t)))))
4.0ms
(/ 1 (- z t))
3.0ms
(/ 1 (/ 1 (- z t)))
22.0ms
(* (/ y (- z a)) (/ 1 (/ 1 (- z t))))

simplify59.0ms

Algorithm
egg-herbie
Counts
329 → 329
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011302328
150011828

prune264.0ms

Filtered
162 candidates to 329 candidates (-103.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3290329
Fresh022
Picked011
Done011
Total3294333

Merged error: 0b

Counts
333 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
5.5b
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt *-un-lft-identity
46×associate-*r*
40×cbrt-prod times-frac
30×cbrt-div
28×associate-*l/
26×add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
16×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
5×associate-*r/
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 132
Calls
4 calls:
4.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
28.0ms
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (- z t))
31.0ms
(cbrt (- z t))
31.0ms
(cbrt (- z t))
22.0ms
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

simplify102.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06731584
132111432
250021370

prune192.0ms

Filtered
103 candidates to 144 candidates (-39.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh011
Picked011
Done022
Total1444148

Merged error: 0b

Counts
148 → 4

regimes636.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

analyze985.0ms

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
2.3%97.4%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
33.3%66.5%0.2%14

sample690.0ms

Algorithm
intervals
Results
348.0ms7997×body80valid
34.0ms731×body80invalid
0.0ms2×body1280valid
0.0ms1×body160valid

Profiling

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