Details

Time bar (total: 3.5s)

analyze871.0ms

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

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms20×body80invalid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
0490311
1490311

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.6b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- z t) (- z a))
13.0ms
(* y (/ (- z t) (- z a)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (- z t) (- z a))
16.0ms
(* y (/ (- z t) (- z a)))

simplify45.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
055621163

prune137.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1035108
Fresh000
Picked011
Done000
Total1036109

Merged error: 0b

Counts
109 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(* (cbrt (- z a)) (cbrt (- z a)))
1.2b
(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- z a)) (cbrt (- z a))))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod
35×add-sqr-sqrt
33×*-un-lft-identity
20×add-exp-log cbrt-div
16×pow1
15×add-cube-cbrt
11×associate-*l* add-cbrt-cube
10×flip3-- swap-sqr flip--
9×associate-*r* prod-exp cbrt-unprod
8×pow1/3 associate-*r/ distribute-lft-out--
6×frac-times difference-of-squares
5×pow-prod-down
4×associate-*l/ add-log-exp unswap-sqr
2×cbrt-undiv div-exp pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 113
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
13.0ms
(* (cbrt (- z a)) (cbrt (- z a)))
20.0ms
(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- z a)) (cbrt (- z a))))))

series121.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- z t))
28.0ms
(cbrt (- z t))
29.0ms
(* (cbrt (- z a)) (cbrt (- z a)))
38.0ms
(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- z a)) (cbrt (- z a))))))

simplify79.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049681413
149681413

prune158.0ms

Filtered
83 candidates to 125 candidates (-50.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh044
Picked011
Done011
Total1256131

Merged error: 0b

Counts
131 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
2.0b
(* y (* (- z t) (/ 1 (- z a))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
8.0ms
(/ 1 (- z a))
12.0ms
(* (- z t) (/ 1 (- z a)))
12.0ms
(* y (* (- z t) (/ 1 (- z a))))

series28.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z a))
8.0ms
(* (- z t) (/ 1 (- z a)))
15.0ms
(* y (* (- z t) (/ 1 (- z a))))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
051711082

prune129.0ms

Filtered
76 candidates to 128 candidates (-68.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1271128
Fresh123
Picked011
Done022
Total1286134

Merged error: 0b

Counts
134 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.9b
(* (/ (- z t) (- z a)) (cbrt y))
1.4b
(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×*-un-lft-identity
32×associate-*l*
30×add-exp-log
27×times-frac
19×add-cube-cbrt
18×pow1 add-cbrt-cube
15×prod-exp cbrt-unprod
11×cbrt-prod
10×distribute-lft-out-- difference-of-squares
9×pow-prod-down
7×associate-*r*
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp
2×pow1/3 associate-*l/ associate-/r/ *-commutative
1×flip3-- associate-*r/ flip-- div-inv
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
14.0ms
(* (/ (- z t) (- z a)) (cbrt y))
15.0ms
(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

series106.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
44.0ms
(* (/ (- z t) (- z a)) (cbrt y))
19.0ms
(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
052271044

prune103.0ms

Filtered
73 candidates to 116 candidates (-58.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1160116
Fresh022
Picked011
Done033
Total1166122

Merged error: 0b

Counts
122 → 6

regimes652.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08533
18533

end0.0ms

sample630.0ms

Algorithm
intervals
Results
308.0ms7999×body80valid
35.0ms782×body80invalid
0.0ms1×body320valid

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