Details

Time bar (total: 2.2s)

analyze314.0ms (14.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
27.3%67.1%5.6%9
41%50.3%8.7%10
43.9%47%9.1%11
48.3%38%13.7%12
56.3%27.4%16.2%13
58.2%25.4%16.4%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.7%)

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms26×body80invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify17.0ms (0.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
01310
11310

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 y y) z))
9.6b
(/.f64 (*.f64 y y) z)

rewrite11.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64
add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
associate-/r*_binary64 times-frac_binary64
pow1_binary64 cbrt-undiv_binary64 div-exp_binary64
flip3-+_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
2 → 33
Calls

2 calls:

5.0ms
(+.f64 x (/.f64 (*.f64 y y) z))
5.0ms
(/.f64 (*.f64 y y) z)

series14.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(+.f64 x (/.f64 (*.f64 y y) z))
4.0ms
(/.f64 (*.f64 y y) z)

simplify80.0ms (3.7%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05118437

prune36.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0.0b

Counts
40 → 5
Compiler

Compiled 465 to 154 computations (66.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (/.f64 y (/.f64 z y)))
0.2b
(/.f64 y (/.f64 z y))

rewrite22.0ms (1%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
46×*-un-lft-identity_binary64
44×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
13×associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
div-inv_binary64
add-log-exp_binary64
cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64
pow1_binary64
flip3-+_binary64 distribute-lft-out_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
2 → 82
Calls

2 calls:

12.0ms
(+.f64 x (/.f64 y (/.f64 z y)))
6.0ms
(/.f64 y (/.f64 z y))

series14.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

10.0ms
(+.f64 x (/.f64 y (/.f64 z y)))
4.0ms
(/.f64 y (/.f64 z y))

simplify114.0ms (5.2%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
049481303
149481303

prune50.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New86288
Fresh213
Picked011
Done011
Total88593

Merged error: 0b

Counts
93 → 5
Compiler

Compiled 1206 to 311 computations (74.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 y (/.f64 y z)))
0.2b
(*.f64 y (/.f64 y z))

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64
associate-*l*_binary64
cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 43
Calls

2 calls:

7.0ms
(*.f64 y (/.f64 y z))
3.0ms
(+.f64 x (*.f64 y (/.f64 y z)))

series13.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(+.f64 x (*.f64 y (/.f64 y z)))
4.0ms
(*.f64 y (/.f64 y z))

simplify93.0ms (4.3%)

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04934534
14934534

prune26.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New49049
Fresh022
Picked011
Done022
Total49554

Merged error: 0b

Counts
54 → 5
Compiler

Compiled 592 to 168 computations (71.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (/.f64 (/.f64 y z) (/.f64 1 y)))
0.2b
(/.f64 (/.f64 y z) (/.f64 1 y))

rewrite67.0ms (3.1%)

Algorithm
rewrite-expression-head
Rules
421×times-frac_binary64
200×*-un-lft-identity_binary64
198×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
29×div-inv_binary64
24×add-exp-log_binary64
16×div-exp_binary64
14×add-cbrt-cube_binary64
13×associate-/r*_binary64 associate-/l*_binary64
cbrt-undiv_binary64
add-log-exp_binary64
pow1_binary64 1-exp_binary64 rec-exp_binary64
flip3-+_binary64 associate-/l/_binary64 distribute-lft-out_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
2 → 231
Calls

2 calls:

40.0ms
(+.f64 x (/.f64 (/.f64 y z) (/.f64 1 y)))
11.0ms
(/.f64 (/.f64 y z) (/.f64 1 y))

series13.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(+.f64 x (/.f64 (/.f64 y z) (/.f64 1 y)))
4.0ms
(/.f64 (/.f64 y z) (/.f64 1 y))

simplify131.0ms (6%)

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
050094977

prune111.0ms (5.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2370237
Fresh011
Picked011
Done033
Total2375242

Merged error: 0b

Counts
242 → 5
Compiler

Compiled 4041 to 1351 computations (66.6% saved)

regimes200.0ms (9.2%)

Compiler

Compiled 276 to 258 computations (6.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample795.0ms (36.5%)

Algorithm
intervals
Results
199.0ms8000×body80valid
23.0ms957×body80invalid
Compiler

Compiled 62 to 57 computations (8.1% saved)

Profiling

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