Details

Time bar (total: 3.4s)

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
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample24.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms83×body80invalid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
072013
172013

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 y (-.f64 z t))
5.5b
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×*-un-lft-identity_binary64
6×add-cube-cbrt_binary64
5×associate-*r*_binary64
4×pow1_binary64 associate-*r/_binary64
3×associate-/r*_binary64 associate-*l*_binary64 times-frac_binary64
2×associate-/l/_binary64 add-log-exp_binary64 sub-neg_binary64 flip3--_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64 flip--_binary64
1×pow-prod-down_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 47
Calls
2 calls:
7.0ms
(*.f64 y (-.f64 z t))
7.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)

series86.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(*.f64 y (-.f64 z t))
53.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)

simplify84.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
05093566

prune46.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New47653
Fresh000
Picked011
Done000
Total47754

Merged error: 0.0b

Counts
54 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
5.7b
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt_binary64
40×times-frac_binary64
38×*-un-lft-identity_binary64
34×associate-*r*_binary64
26×add-cube-cbrt_binary64 cbrt-prod_binary64
25×add-exp-log_binary64
18×add-cbrt-cube_binary64
8×cbrt-unprod_binary64 prod-exp_binary64
7×cbrt-undiv_binary64 associate-*l*_binary64 div-exp_binary64
6×pow1_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
4×add-log-exp_binary64
3×pow1/3_binary64
2×div-inv_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)
20.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

series332.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(cbrt.f64 a)
84.0ms
(cbrt.f64 a)
82.0ms
(cbrt.f64 a)
84.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

simplify182.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (137.0ms)

IterNodesCost
049681659
149681659

prune103.0ms

Filtered
87 candidates to 116 candidates (-33.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh325
Picked011
Done011
Total1185123

Merged error: 0b

Counts
123 → 5

localize9.0ms

Local error

Found 1 expressions with local error:

8.0b
(*.f64 (/.f64 y a) (-.f64 z t))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
13×associate-*l*_binary64
11×*-un-lft-identity_binary64
10×times-frac_binary64
9×add-cube-cbrt_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64
5×associate-*r*_binary64
3×pow1_binary64
2×sub-neg_binary64 flip3--_binary64 cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 flip--_binary64 frac-times_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
1 → 40
Calls
1 calls:
9.0ms
(*.f64 (/.f64 y a) (-.f64 z t))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(*.f64 (/.f64 y a) (-.f64 z t))

simplify83.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05012578

prune26.0ms

Filtered
31 candidates to 43 candidates (-38.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New43043
Fresh022
Picked011
Done022
Total43548

Merged error: 0b

Counts
48 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 z t) a)
8.3b
(*.f64 y (/.f64 (-.f64 z t) a))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64
36×*-un-lft-identity_binary64
31×times-frac_binary64
22×add-cube-cbrt_binary64
19×associate-*r*_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
7×difference-of-squares_binary64 distribute-lft-out--_binary64
5×associate-/l*_binary64
4×pow1_binary64
3×associate-/r*_binary64 associate-*l*_binary64
2×associate-/l/_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
1×pow-prod-down_binary64 flip3--_binary64 associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64 *-commutative_binary64
Counts
2 → 76
Calls
2 calls:
6.0ms
(/.f64 (-.f64 z t) a)
10.0ms
(*.f64 y (/.f64 (-.f64 z t) a))

series74.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/.f64 (-.f64 z t) a)
51.0ms
(*.f64 y (/.f64 (-.f64 z t) a))

simplify78.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
059541073

prune37.0ms

Filtered
54 candidates to 82 candidates (-51.9%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New82082
Fresh011
Picked011
Done033
Total82587

Merged error: 0b

Counts
87 → 5

regimes195.0ms

Accuracy

76% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.5b

bsearch39.0ms

Steps
ItersRangePoint
7
1.5013700046173842e-45
2.826951117377433e-43
2.7743697433468954e-43
8
-4.581038630204257e-14
-9.820073835864893e-18
-4.711377860159361e-16

simplify7.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
021740
121740

end0.0ms

sample683.0ms

Algorithm
intervals
Results
265.0ms8000×body80valid
94.0ms2620×body80invalid

Profiling

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