Details

Time bar (total: 2.6s)

analyze748.0ms

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
9.4%90.4%0.2%8
9.4%90.4%0.2%9
10.9%88.9%0.2%10
25.9%73.9%0.2%11
47.1%52.7%0.2%12
55.3%44.5%0.2%13
59.2%40.6%0.2%14

sample24.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0485813
1485813

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: 2.9b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

4.8b
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))
7.3b
(/.f64 (*.f64 y t) (*.f64 2 z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64 times-frac_binary64
12×add-cube-cbrt_binary64
6×associate-/r*_binary64
5×cbrt-undiv_binary64 div-exp_binary64
4×cbrt-unprod_binary64 prod-exp_binary64 difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64
2×add-log-exp_binary64 pow1_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
1×flip3--_binary64 flip--_binary64
Counts
2 → 58
Calls
2 calls:
7.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))
7.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))

series32.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))
7.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))

simplify38.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05062827

prune50.0ms

Filtered
43 candidates to 64 candidates (-48.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New60464
Fresh011
Picked101
Done000
Total61566

Merged error: 0.9b

Counts
66 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.8b
(/.f64 2 (/.f64 t z))
4.3b
(/.f64 y (/.f64 2 (/.f64 t z)))
4.8b
(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
519×times-frac_binary64
299×add-sqr-sqrt_binary64
251×*-un-lft-identity_binary64
243×add-cube-cbrt_binary64
65×associate-/r*_binary64
23×div-inv_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
16×difference-of-squares_binary64
10×cbrt-undiv_binary64 div-exp_binary64
9×associate-/l*_binary64
8×associate-/r/_binary64
4×distribute-lft-out--_binary64
3×add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
1×flip3--_binary64 flip--_binary64
Counts
3 → 315
Calls
3 calls:
7.0ms
(/.f64 2 (/.f64 t z))
13.0ms
(/.f64 y (/.f64 2 (/.f64 t z)))
39.0ms
(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

series37.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/.f64 2 (/.f64 t z))
7.0ms
(/.f64 y (/.f64 2 (/.f64 t z)))
26.0ms
(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
324 → 324
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049764880
149764880

prune224.0ms

Filtered
270 candidates to 324 candidates (-20.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3222324
Fresh314
Picked101
Done000
Total3263329

Merged error: 0.7b

Counts
329 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 2 (/.f64 z t))
4.3b
(/.f64 y (*.f64 2 (/.f64 z t)))
4.8b
(/.f64 y (-.f64 z (/.f64 y (*.f64 2 (/.f64 z t)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt_binary64
31×*-un-lft-identity_binary64
28×times-frac_binary64
23×add-cube-cbrt_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-*r*_binary64
6×associate-/r*_binary64 cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64
5×pow1_binary64
4×cbrt-unprod_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
3×add-log-exp_binary64 associate-/r/_binary64 associate-*l*_binary64 div-inv_binary64
2×associate-*r/_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64
1×pow-prod-down_binary64 flip3--_binary64 flip--_binary64 *-commutative_binary64
Counts
3 → 93
Calls
3 calls:
7.0ms
(*.f64 2 (/.f64 z t))
9.0ms
(/.f64 y (*.f64 2 (/.f64 z t)))
9.0ms
(/.f64 y (-.f64 z (/.f64 y (*.f64 2 (/.f64 z t)))))

series36.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(*.f64 2 (/.f64 z t))
7.0ms
(/.f64 y (*.f64 2 (/.f64 z t)))
26.0ms
(/.f64 y (-.f64 z (/.f64 y (*.f64 2 (/.f64 z t)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049831082
149831082

prune52.0ms

Filtered
70 candidates to 102 candidates (-45.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1011102
Fresh112
Picked011
Done000
Total1023105

Merged error: 0b

Counts
105 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (/.f64 z y) (/.f64 1/2 (/.f64 z t)))
0.6b
(/.f64 1/2 (/.f64 z t))
1.3b
(/.f64 1 (-.f64 (/.f64 z y) (/.f64 1/2 (/.f64 z t))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
166×add-sqr-sqrt_binary64
163×times-frac_binary64
91×*-un-lft-identity_binary64
61×add-cube-cbrt_binary64
30×difference-of-squares_binary64
24×associate-/r*_binary64
12×add-exp-log_binary64
10×add-cbrt-cube_binary64 distribute-lft-out--_binary64
6×associate-/l*_binary64 div-inv_binary64
5×add-log-exp_binary64 div-exp_binary64
4×pow1_binary64 cbrt-undiv_binary64 associate-/r/_binary64
2×flip3--_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64 frac-sub_binary64
1×sub-neg_binary64 diff-log_binary64 1-exp_binary64 inv-pow_binary64 rec-exp_binary64 pow-flip_binary64
Counts
3 → 156
Calls
3 calls:
34.0ms
(-.f64 (/.f64 z y) (/.f64 1/2 (/.f64 z t)))
6.0ms
(/.f64 1/2 (/.f64 z t))
33.0ms
(/.f64 1 (-.f64 (/.f64 z y) (/.f64 1/2 (/.f64 z t))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(-.f64 (/.f64 z y) (/.f64 1/2 (/.f64 z t)))
4.0ms
(/.f64 1/2 (/.f64 z t))
9.0ms
(/.f64 1 (-.f64 (/.f64 z y) (/.f64 1/2 (/.f64 z t))))

simplify65.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
051752376

prune86.0ms

Filtered
117 candidates to 165 candidates (-41.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1641165
Fresh101
Picked011
Done011
Total1653168

Merged error: 0b

Counts
168 → 3

regimes154.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05413
15413

end0.0ms

sample603.0ms

Algorithm
intervals
Results
393.0ms8000×body80valid

Profiling

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