Details

Time bar (total: 5.3s)

analyze1.0s

Algorithm
search

sample28.0ms

Algorithm
intervals
Results
9.0ms221×body80valid
2.0ms13×body1280valid
1.0ms37×body80invalid
1.0ms9×body640valid
1.0ms7×body320valid
0.0ms6×body160valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0236
1446
21226
33276
48686
517276
635446
750016

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.8b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
2.2b
(+ x (* (- y z) (/ (- t x) (- a z))))
4.5b
(* (- y z) (/ (- t x) (- a z)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ 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 → 119
Calls
3 calls:
8.0ms
(/ (- t x) (- a z))
3.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
16.0ms
(* (- y z) (/ (- t x) (- a z)))

series103.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (- t x) (- a z))
53.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
36.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0473869
12012820
25002820

prune202.0ms

Filtered
88 candidates to 128 candidates (-45.5%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New11018128
Fresh000
Picked101
Done000
Total11118129

Merged error: 3.2b

Counts
129 → 18

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
7.3b
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
3.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series134.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- t x))
28.0ms
(cbrt (- t x))
26.0ms
(cbrt (- t x))
53.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify33.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0260701
1807613
25002579

prune149.0ms

Filtered
57 candidates to 68 candidates (-19.3%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New66268
Fresh31417
Picked101
Done000
Total701686

Merged error: 2.5b

Counts
86 → 16

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
7.1b
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x)))) (cbrt (cbrt (- t x)))) (cbrt (- a z)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
4.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x)))) (cbrt (cbrt (- t x)))) (cbrt (- a z)))))

series134.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- t x))
26.0ms
(cbrt (- t x))
27.0ms
(cbrt (- t x))
55.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x)))) (cbrt (cbrt (- t x)))) (cbrt (- a z)))))

simplify39.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0266860
1842786
25002748

prune155.0ms

Filtered
56 candidates to 68 candidates (-21.4%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh01515
Picked011
Done000
Total671784

Merged error: 2.5b

Counts
84 → 17

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- t x) (/ 1 (- a z)))
3.4b
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
4.5b
(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
6.0ms
(/ 1 (- a z))
15.0ms
(* (- t x) (/ 1 (- a z)))
4.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
15.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

series107.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- a z))
13.0ms
(* (- t x) (/ 1 (- a z)))
54.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
36.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify69.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05851025
12810908
25003863

prune125.0ms

Filtered
98 candidates to 158 candidates (-61.2%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1571158
Fresh11415
Picked011
Done011
Total15817175

Merged error: 2.5b

Counts
175 → 17

regimes878.0ms

Accuracy

60.5% (3.5b remaining)

Error of 6.8b against oracle of 3.3b and baseline of 12.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04546
14546

end0.0ms

analyze980.0ms

Algorithm
search

sample806.0ms

Algorithm
intervals
Results
269.0ms6584×body80valid
70.0ms432×body640valid
50.0ms427×body320valid
50.0ms275×body1280valid
48.0ms1246×body80invalid
23.0ms262×body160valid
5.0ms20×body2560valid

Profiling

Loading profile data...