Details

Time bar (total: 3.8s)

analyze1.1s

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

sample35.0ms

Algorithm
intervals
Results
13.0ms213×body80valid
3.0ms17×body640valid
2.0ms8×body1280valid
1.0ms12×body320valid
1.0ms23×body80invalid
0.0ms6×body160valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
0489313
1489313

prune14.0ms

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: 4.6b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- t a))
0.8b
(* y (/ (- z t) (- t a)))
2.5b
(+ y (* y (/ (- z t) (- t a))))

rewrite28.0ms

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:
7.0ms
(/ (- z t) (- t a))
13.0ms
(* y (/ (- z t) (- t a)))
3.0ms
(+ y (* y (/ (- z t) (- t a))))

series50.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z t) (- t a))
15.0ms
(* y (/ (- z t) (- t a)))
25.0ms
(+ y (* y (/ (- z t) (- t a))))

simplify40.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050251354

prune154.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1166122
Fresh011
Picked101
Done000
Total1177124

Merged error: 2.0b

Counts
124 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- t a))
0.2b
(* (- z t) (/ 1 (- t a)))
0.8b
(* y (* (- z t) (/ 1 (- t a))))
5.6b
(+ y (* y (* (- z t) (/ 1 (- t a)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×add-cbrt-cube
13×prod-exp
12×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip-- add-log-exp
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×un-div-inv *-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 130
Calls
4 calls:
8.0ms
(/ 1 (- t a))
13.0ms
(* (- z t) (/ 1 (- t a)))
12.0ms
(* y (* (- z t) (/ 1 (- t a))))
4.0ms
(+ y (* y (* (- z t) (/ 1 (- t a)))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- t a))
9.0ms
(* (- z t) (/ 1 (- t a)))
16.0ms
(* y (* (- z t) (/ 1 (- t a))))
22.0ms
(+ y (* y (* (- z t) (/ 1 (- t a)))))

simplify40.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
051051273

prune149.0ms

Filtered
88 candidates to 142 candidates (-61.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1420142
Fresh066
Picked011
Done000
Total1427149

Merged error: 2.0b

Counts
149 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.8b
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a))))
14.7b
(+ y (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- t a)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
22×add-exp-log associate-*r/
16×frac-times add-cbrt-cube
14×flip3-- flip--
13×pow1
12×associate-*l/
11×add-sqr-sqrt *-un-lft-identity prod-exp cbrt-unprod
10×cbrt-prod
7×add-cube-cbrt
6×pow-prod-down add-log-exp
3×associate-*l*
2×cbrt-undiv pow1/3 div-exp distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
4 → 83
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
22.0ms
(* 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)))))

series92.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))
16.0ms
(* 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)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049421130
149421130

prune118.0ms

Filtered
67 candidates to 95 candidates (-41.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh055
Picked011
Done011
Total957102

Merged error: 2.0b

Counts
102 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

6.0b
(cbrt (* y (/ (- z t) (- t a))))
6.0b
(cbrt (* y (/ (- z t) (- t a))))
6.0b
(cbrt (* y (/ (- z t) (- t a))))
16.1b
(+ y (* (* (cbrt (* y (/ (- z t) (- t a)))) (cbrt (* y (/ (- z t) (- t a))))) (cbrt (* y (/ (- z t) (- t a))))))

rewrite29.0ms

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))))
4.0ms
(+ y (* (* (cbrt (* y (/ (- z t) (- t a)))) (cbrt (* y (/ (- z t) (- t a))))) (cbrt (* y (/ (- z t) (- t a))))))

series191.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(cbrt (* y (/ (- z t) (- t a))))
55.0ms
(cbrt (* y (/ (- z t) (- t a))))
52.0ms
(cbrt (* y (/ (- z t) (- t a))))
32.0ms
(+ y (* (* (cbrt (* y (/ (- z t) (- t a)))) (cbrt (* y (/ (- z t) (- t a))))) (cbrt (* y (/ (- z t) (- t a))))))

simplify41.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05324596

prune63.0ms

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

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New53053
Fresh044
Picked011
Done022
Total53760

Merged error: 2.0b

Counts
60 → 7

regimes522.0ms

Accuracy

23.8% (3.9b remaining)

Error of 7.2b against oracle of 3.3b and baseline of 8.4b

bsearch49.0ms

Steps
ItersRangePoint
9
5.0452112570018253e-175
1.242215897255872e-165
6.150208378306231e-173
7
-1.7234652836873694e-144
-4.522040048315558e-146
-6.23523152572106e-146

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04931
14931

end0.0ms

sample789.0ms

Algorithm
intervals
Results
276.0ms6587×body80valid
68.0ms451×body640valid
53.0ms267×body1280valid
46.0ms410×body320valid
29.0ms739×body80invalid
28.0ms275×body160valid
2.0ms10×body2560valid

Profiling

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