Details

Time bar (total: 3.6s)

analyze904.0ms

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
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample27.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms78×body80invalid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
07189
17189

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: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) a)
0.0b
(+ x (* y (/ (- z t) a)))
5.8b
(* y (/ (- z t) a))

rewrite20.0ms

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:
5.0ms
(/ (- z t) a)
3.0ms
(+ x (* y (/ (- z t) a)))
9.0ms
(* y (/ (- z t) a))

series38.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- z t) a)
16.0ms
(+ x (* y (/ (- z t) a)))
16.0ms
(* y (/ (- z t) a))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05871889

prune121.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New89796
Fresh011
Picked011
Done000
Total89998

Merged error: 0.0b

Counts
98 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
3.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite28.0ms

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 a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
21.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series85.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt a)
22.0ms
(cbrt a)
22.0ms
(cbrt a)
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049381097
149381097

prune132.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh077
Picked011
Done101
Total1169125

Merged error: 0.0b

Counts
125 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt a))
0.6b
(cbrt (cbrt a))
0.6b
(cbrt (cbrt a))
3.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
38×add-cbrt-cube
27×cbrt-prod
25×prod-exp cbrt-unprod
20×add-sqr-sqrt
17×cbrt-undiv div-exp
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac associate-*r*
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
2.0ms
(cbrt (cbrt a))
2.0ms
(cbrt (cbrt a))
2.0ms
(cbrt (cbrt a))
22.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

series110.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (cbrt a))
32.0ms
(cbrt (cbrt a))
29.0ms
(cbrt (cbrt a))
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

simplify39.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05027876

prune110.0ms

Filtered
69 candidates to 108 candidates (-56.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh077
Picked011
Done011
Total1089117

Merged error: 0.0b

Counts
117 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (* (- z t) (/ 1 a))))
0.3b
(* (- z t) (/ 1 a))
5.8b
(* y (* (- z t) (/ 1 a)))

rewrite25.0ms

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 t) (/ 1 a))))
9.0ms
(* (- z t) (/ 1 a))
9.0ms
(* y (* (- z t) (/ 1 a)))

series37.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ x (* y (* (- z t) (/ 1 a))))
6.0ms
(* (- z t) (/ 1 a))
14.0ms
(* y (* (- z t) (/ 1 a)))

simplify48.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05172760

prune72.0ms

Filtered
57 candidates to 90 candidates (-57.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh066
Picked011
Done022
Total90999

Merged error: 0.0b

Counts
99 → 9

regimes890.0ms

Accuracy

91.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03837
13837

end0.0ms

sample711.0ms

Algorithm
intervals
Results
293.0ms8000×body80valid
85.0ms2557×body80invalid

Profiling

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