Details

Time bar (total: 4.0s)

analyze917.0ms

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
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
18.4%81.3%0.2%13
29.5%70.3%0.2%14

sample43.0ms

Algorithm
intervals
Results
8.0ms255×body80valid
0.0ms1×body320valid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (125.0ms)

IterNodesCost
0478611
1478611

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

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- a z))
0.0b
(+ x (* (- y z) (/ t (- a z))))
11.9b
(* (- y z) (/ t (- a z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r* add-log-exp
4×flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 94
Calls
3 calls:
5.0ms
(/ t (- a z))
4.0ms
(+ x (* (- y z) (/ t (- a z))))
13.0ms
(* (- y z) (/ t (- a z)))

series47.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ t (- a z))
25.0ms
(+ x (* (- y z) (/ t (- a z))))
15.0ms
(* (- y z) (/ t (- a z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049781059
149781059

prune120.0ms

Filtered
75 candidates to 103 candidates (-37.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New985103
Fresh011
Picked101
Done000
Total996105

Merged error: 0.0b

Counts
105 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.0b
(+ x (* (- y z) (* t (/ 1 (- a z)))))
0.2b
(* t (/ 1 (- a z)))
11.9b
(* (- y z) (* t (/ 1 (- a z))))

rewrite37.0ms

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-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×associate-*r/ div-exp add-log-exp
5×flip3-- associate-/r* flip--
4×frac-times pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×associate-*l/ *-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 128
Calls
4 calls:
5.0ms
(/ 1 (- a z))
4.0ms
(+ x (* (- y z) (* t (/ 1 (- a z)))))
11.0ms
(* t (/ 1 (- a z)))
12.0ms
(* (- y z) (* t (/ 1 (- a z))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- a z))
25.0ms
(+ x (* (- y z) (* t (/ 1 (- a z)))))
7.0ms
(* t (/ 1 (- a z)))
17.0ms
(* (- y z) (* t (/ 1 (- a z))))

simplify52.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
059491199

prune126.0ms

Filtered
84 candidates to 140 candidates (-66.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1400140
Fresh055
Picked011
Done000
Total1406146

Merged error: 0.0b

Counts
146 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

6.9b
(cbrt (* (- y z) (/ t (- a z))))
11.9b
(* (- y z) (/ t (- a z)))
11.9b
(* (- y z) (/ t (- a z)))
11.9b
(* (- y z) (/ t (- a z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt
63×associate-*r*
58×*-un-lft-identity
48×times-frac
34×add-cube-cbrt
19×add-exp-log add-cbrt-cube
15×associate-*l*
12×distribute-lft-out-- difference-of-squares
11×flip3-- flip--
10×pow1
8×frac-times associate-*l/
6×prod-exp associate-/r/ cbrt-unprod unswap-sqr
5×cbrt-div
4×associate-*r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
1×cbrt-prod pow1/3
Counts
4 → 152
Calls
4 calls:
8.0ms
(cbrt (* (- y z) (/ t (- a z))))
13.0ms
(* (- y z) (/ t (- a z)))
13.0ms
(* (- y z) (/ t (- a z)))
13.0ms
(* (- y z) (/ t (- a z)))

series141.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (* (- y z) (/ t (- a z))))
15.0ms
(* (- y z) (/ t (- a z)))
17.0ms
(* (- y z) (/ t (- a z)))
15.0ms
(* (- y z) (/ t (- a z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
053701820

prune170.0ms

Filtered
121 candidates to 164 candidates (-35.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1640164
Fresh044
Picked011
Done011
Total1646170

Merged error: 0.0b

Counts
170 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
11.7b
(* (* (- y z) (* (cbrt t) (cbrt t))) (/ (cbrt t) (- a z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt *-un-lft-identity associate-*r*
30×times-frac
25×add-exp-log
24×cbrt-prod add-cube-cbrt
18×add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down associate-*l/ distribute-lft-out-- difference-of-squares
4×add-log-exp
3×cbrt-undiv flip3-- pow1/3 div-exp flip--
2×frac-times associate-/r/
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
19.0ms
(* (* (- y z) (* (cbrt t) (cbrt t))) (/ (cbrt t) (- a z)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
21.0ms
(cbrt t)
22.0ms
(cbrt t)
20.0ms
(* (* (- y z) (* (cbrt t) (cbrt t))) (/ (cbrt t) (- a z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050021061

prune79.0ms

Filtered
68 candidates to 110 candidates (-61.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh033
Picked011
Done022
Total1106116

Merged error: 0.0b

Counts
116 → 6

regimes565.0ms

Accuracy

93.5% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04149
14149

end0.0ms

sample1.1s

Algorithm
intervals
Results
243.0ms7999×body80valid
0.0ms1×body320valid

Profiling

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