Details

Time bar (total: 3.9s)

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
3.5%96.2%0.2%10
9.8%89.9%0.2%11
14.1%85.7%0.2%12
22.6%77.1%0.2%13
23.7%76%0.2%14

sample34.0ms

Algorithm
intervals
Results
8.0ms215×body80valid
2.0ms13×body640valid
1.0ms7×body1280valid
1.0ms31×body80invalid
1.0ms10×body320valid
1.0ms10×body160valid
0.0ms1×body2560valid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
0489313
1489313

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: 5.7b

Counts
2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ y (* y (/ (- z t) (- t a)))))
0.0b
(/ (- z t) (- t a))
3.0b
(* y (/ (- z t) (- t a)))
3.0b
(+ y (* y (/ (- z t) (- t a))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
74×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
11×add-exp-log add-cbrt-cube add-log-exp
6×pow1
5×associate-/r* associate-/l*
4×sum-log associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv +-commutative flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×associate-+r+ frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out
Counts
4 → 127
Calls
4 calls:
12.0ms
(+ x (+ y (* y (/ (- z t) (- t a)))))
10.0ms
(/ (- z t) (- t a))
13.0ms
(* y (/ (- z t) (- t a)))
3.0ms
(+ y (* y (/ (- z t) (- t a))))

series124.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ x (+ y (* y (/ (- z t) (- t a)))))
13.0ms
(/ (- z t) (- t a))
24.0ms
(* y (/ (- z t) (- t a)))
32.0ms
(+ y (* y (/ (- z t) (- t a))))

simplify70.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
050721615

prune174.0ms

Filtered
96 candidates to 139 candidates (-44.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1309139
Fresh101
Picked011
Done000
Total13110141

Merged error: 2.6b

Counts
141 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t a))
0.5b
(cbrt (- t a))
8.9b
(* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a))))
14.4b
(+ y (* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt
57×*-un-lft-identity
50×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
15×associate-*l* distribute-lft-out-- difference-of-squares
10×associate-/r/
9×flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 add-log-exp unswap-sqr
5×frac-times
3×associate-*r/ associate-*l/
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 132
Calls
4 calls:
3.0ms
(cbrt (- t a))
3.0ms
(cbrt (- t a))
35.0ms
(* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a))))
4.0ms
(+ y (* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a)))))

series103.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- t a))
28.0ms
(cbrt (- t a))
21.0ms
(* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a))))
29.0ms
(+ y (* (/ y (* (cbrt (- t a)) (cbrt (- t a)))) (/ (- z t) (cbrt (- t a)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049762254
149762254

prune158.0ms

Filtered
107 candidates to 144 candidates (-34.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh088
Picked011
Done011
Total14410154

Merged error: 2.6b

Counts
154 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

6.1b
(cbrt (* y (/ (- z t) (- t a))))
6.1b
(cbrt (* y (/ (- z t) (- t a))))
6.1b
(cbrt (* y (/ (- z t) (- t a))))
14.8b
(+ y (* (* (cbrt (* y (/ (- z t) (- t a)))) (cbrt (* y (/ (- z t) (- t a))))) (cbrt (* y (/ (- z t) (- t a))))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×cbrt-prod cbrt-div pow1/3 associate-*r/
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 41
Calls
4 calls:
8.0ms
(cbrt (* y (/ (- z t) (- t a))))
8.0ms
(cbrt (* y (/ (- z t) (- t a))))
8.0ms
(cbrt (* y (/ (- z t) (- t a))))
3.0ms
(+ y (* (* (cbrt (* y (/ (- z t) (- t a)))) (cbrt (* y (/ (- z t) (- t a))))) (cbrt (* y (/ (- z t) (- t a))))))

series230.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(cbrt (* y (/ (- z t) (- t a))))
82.0ms
(cbrt (* y (/ (- z t) (- t a))))
65.0ms
(cbrt (* y (/ (- z t) (- t a))))
30.0ms
(+ y (* (* (cbrt (* y (/ (- z t) (- t a)))) (cbrt (* y (/ (- z t) (- t a))))) (cbrt (* y (/ (- z t) (- t a))))))

simplify37.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05324596

prune89.0ms

Filtered
47 candidates to 53 candidates (-12.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New52153
Fresh077
Picked011
Done022
Total521163

Merged error: 2.6b

Counts
63 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
5.7b
(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- t a)))
14.9b
(+ y (* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- t a))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt *-un-lft-identity
46×associate-*r*
40×times-frac
35×cbrt-prod
28×cbrt-div
25×add-exp-log add-cube-cbrt
21×associate-*r/
18×add-cbrt-cube
16×frac-times
15×flip3-- flip-- distribute-lft-out-- difference-of-squares
13×pow1
12×associate-*l/ prod-exp cbrt-unprod
6×pow-prod-down add-log-exp
3×cbrt-undiv div-exp
2×pow1/3 associate-/r/
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+ div-inv
Counts
4 → 128
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
25.0ms
(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- t a)))
4.0ms
(+ y (* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- t a))))

series93.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))
19.0ms
(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- t a)))
23.0ms
(+ y (* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- t a))))

simplify49.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049642189
149642189

prune113.0ms

Filtered
92 candidates to 140 candidates (-52.2%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1400140
Fresh077
Picked011
Done033
Total14011151

Merged error: 2.6b

Counts
151 → 11

regimes486.0ms

Accuracy

15.7% (3.4b remaining)

Error of 6.6b against oracle of 3.2b and baseline of 7.3b

bsearch38.0ms

Steps
ItersRangePoint
4
5.547870761017299e-174
8.803871390906901e-174
8.62279391925763e-174
8
-8.31222321936519e-252
-7.958317520712413e-256
-2.1739931776898784e-252

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04629
14629

end0.0ms

sample756.0ms

Algorithm
intervals
Results
278.0ms6665×body80valid
63.0ms437×body640valid
46.0ms407×body320valid
46.0ms252×body1280valid
28.0ms716×body80invalid
16.0ms222×body160valid
4.0ms17×body2560valid

Profiling

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