Details

Time bar (total: 4.7s)

analyze850.0ms (18.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0517740
033
133
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
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56%4%10
47.3%48.7%4%11
48.4%45.8%5.8%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms27×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify201.0ms (4.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (191.0ms)

IterNodesCost
0490710
1490710

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.5b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 y z))
11.8b
(/.f64 (*.f64 x (+.f64 y z)) z)

rewrite55.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-exp-log_binary64_10687 add-cbrt-cube_binary64_10685
add-sqr-sqrt_binary64_10671 *-un-lft-identity_binary64_10649
add-cube-cbrt_binary64_10684
pow1_binary64_10710 associate-*r/_binary64_10591 associate-*r*_binary64_10589
times-frac_binary64_10655 associate-/r*_binary64_10593 associate-*l*_binary64_10590
prod-exp_binary64_10698 div-exp_binary64_10700 add-log-exp_binary64_10688 cbrt-undiv_binary64_10683 cbrt-unprod_binary64_10682 flip3-+_binary64_10652 associate-/l/_binary64_10596 flip-+_binary64_10623
frac-2neg_binary64_10660 clear-num_binary64_10648 div-inv_binary64_10646 associate-/l*_binary64_10594 pow-prod-down_binary64_10720 unswap-sqr_binary64_10617 distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 distribute-lft-out_binary64_10600 *-commutative_binary64_10580
Counts
2 → 46
Calls

2 calls:

7.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
6.0ms
(*.f64 x (+.f64 y z))
Compiler

Compiled 607 to 171 computations (71.8% saved)

series261.0ms (5.6%)

Error
3.3b
Counts
2 → 30
Calls

2 calls:

157.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
90.0ms
(*.f64 x (+.f64 y z))
Compiler

Compiled 510 to 295 computations (42.2% saved)

simplify90.0ms (1.9%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04981703
14981703

prune59.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New69776
Fresh000
Picked101
Done000
Total70777
Error
0.0b
Counts
77 → 7
Compiler

Compiled 777 to 205 computations (73.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 z (+.f64 z y))
2.4b
(/.f64 x (/.f64 z (+.f64 z y)))

rewrite118.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
114×times-frac_binary64_10655
94×*-un-lft-identity_binary64_10649
62×add-cube-cbrt_binary64_10684 add-sqr-sqrt_binary64_10671
22×associate-/r*_binary64_10593
16×distribute-lft-out_binary64_10600
11×associate-/r/_binary64_10595
add-exp-log_binary64_10687 add-cbrt-cube_binary64_10685
div-inv_binary64_10646 associate-/l*_binary64_10594
flip3-+_binary64_10652 flip-+_binary64_10623
div-exp_binary64_10700 cbrt-undiv_binary64_10683
pow1_binary64_10710 add-log-exp_binary64_10688 frac-2neg_binary64_10660 clear-num_binary64_10648
Counts
2 → 123
Calls

2 calls:

9.0ms
(/.f64 x (/.f64 z (+.f64 z y)))
5.0ms
(/.f64 z (+.f64 z y))
Compiler

Compiled 2112 to 504 computations (76.1% saved)

series250.0ms (5.4%)

Error
0.0b
Counts
2 → 39
Calls

2 calls:

138.0ms
(/.f64 x (/.f64 z (+.f64 z y)))
86.0ms
(/.f64 z (+.f64 z y))
Compiler

Compiled 921 to 648 computations (29.6% saved)

simplify96.0ms (2.1%)

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049762852
149762852

prune155.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1593162
Fresh426
Picked011
Done000
Total1636169
Error
0b
Counts
169 → 6
Compiler

Compiled 2352 to 492 computations (79.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 1 (/.f64 y z))
3.4b
(*.f64 x (+.f64 1 (/.f64 y z)))

rewrite45.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
*-un-lft-identity_binary64_10649
add-sqr-sqrt_binary64_10671
pow1_binary64_10710 add-exp-log_binary64_10687 add-log-exp_binary64_10688 add-cbrt-cube_binary64_10685 add-cube-cbrt_binary64_10684 associate-*r*_binary64_10589
associate-*l*_binary64_10590
flip3-+_binary64_10652 associate-*r/_binary64_10591 flip-+_binary64_10623 distribute-lft-out_binary64_10600
pow-prod-down_binary64_10720 prod-exp_binary64_10698 cbrt-unprod_binary64_10682 unswap-sqr_binary64_10617 distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 *-commutative_binary64_10580 sum-log_binary64_10740 +-commutative_binary64_10579
Counts
2 → 35
Calls

2 calls:

9.0ms
(*.f64 x (+.f64 1 (/.f64 y z)))
6.0ms
(+.f64 1 (/.f64 y z))
Compiler

Compiled 494 to 259 computations (47.6% saved)

series194.0ms (4.2%)

Error
0b
Counts
2 → 27
Calls

2 calls:

131.0ms
(*.f64 x (+.f64 1 (/.f64 y z)))
52.0ms
(+.f64 1 (/.f64 y z))
Compiler

Compiled 399 to 293 computations (26.6% saved)

simplify115.0ms (2.5%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
04943586
14943586

prune37.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh044
Picked011
Done011
Total62668
Error
0b
Counts
68 → 6
Compiler

Compiled 619 to 305 computations (50.7% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

12.1b
(*.f64 (/.f64 x z) (+.f64 z y))

rewrite52.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×add-sqr-sqrt_binary64_10671
13×associate-*l*_binary64_10590
11×*-un-lft-identity_binary64_10649
10×times-frac_binary64_10655
add-cube-cbrt_binary64_10684
add-exp-log_binary64_10687 add-cbrt-cube_binary64_10685
associate-*r*_binary64_10589
pow1_binary64_10710
prod-exp_binary64_10698 cbrt-unprod_binary64_10682 flip3-+_binary64_10652 frac-times_binary64_10659 flip-+_binary64_10623 unswap-sqr_binary64_10617 associate-*r/_binary64_10591
pow-prod-down_binary64_10720 div-exp_binary64_10700 add-log-exp_binary64_10688 cbrt-undiv_binary64_10683 distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 associate-*l/_binary64_10592 div-inv_binary64_10646 distribute-lft-out_binary64_10600 *-commutative_binary64_10580
Counts
1 → 39
Calls

1 calls:

15.0ms
(*.f64 (/.f64 x z) (+.f64 z y))
Compiler

Compiled 572 to 156 computations (72.7% saved)

series180.0ms (3.9%)

Error
0b
Counts
1 → 15
Calls

1 calls:

175.0ms
(*.f64 (/.f64 x z) (+.f64 z y))
Compiler

Compiled 225 to 141 computations (37.3% saved)

simplify84.0ms (1.8%)

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
05160632

prune30.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New54054
Fresh033
Picked011
Done022
Total54660
Error
0b
Counts
60 → 6
Compiler

Compiled 592 to 134 computations (77.4% saved)

regimes498.0ms (10.7%)

Accuracy

Total 2.3b remaining (100%)

Threshold costs 0b (0%)

Compiler

Compiled 1980 to 1338 computations (32.4% saved)

bsearch3.0ms (0.1%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03783
13783

end0.0ms (0%)

sample1.2s (26.5%)

Algorithm
intervals
Results
269.0ms8000×body128valid
24.0ms801×body128invalid
Compiler

Compiled 539 to 360 computations (33.2% saved)

Profiling

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