Details

Time bar (total: 4.1s)

analyze553.0ms (13.6%)

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
7%92.8%0.2%8
19.1%80.7%0.2%9
29.8%70%0.2%10
31.3%68.5%0.2%11
42.3%57.2%0.6%12
53.3%45.5%1.2%13
59.2%39.3%1.5%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.4%)

Algorithm
intervals
Results
8.0ms256×body128valid
1.0ms22×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify141.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (135.0ms)

IterNodesCost
0560513

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.5b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
10.8b
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite27.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
14×*-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
cancel-sign-sub-inv_binary64
associate-/r*_binary64 associate-*r*_binary64 times-frac_binary64
pow1_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
flip3--_binary64 associate-*l*_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
associate-/l/_binary64 add-log-exp_binary64 sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64
pow-prod-down_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 59
Calls

2 calls:

14.0ms
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
8.0ms
(*.f64 x (-.f64 y z))

series252.0ms (6.2%)

Counts
2 → 6
Calls

2 calls:

184.0ms
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
68.0ms
(*.f64 x (-.f64 y z))

simplify50.0ms (1.2%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05317780

prune155.0ms (3.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New56965
Fresh000
Picked101
Done000
Total57966

Merged error: 0.0b

Counts
66 → 9
Compiler

Compiled 2698 to 1454 computations (46.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 t z) (-.f64 y z))
1.5b
(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite51.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
218×times-frac_binary64
194×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
90×add-cube-cbrt_binary64
52×difference-of-squares_binary64 distribute-lft-out--_binary64
36×associate-/r*_binary64
11×associate-/r/_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
flip3--_binary64 div-inv_binary64 flip--_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
div-sub_binary64
Counts
2 → 194
Calls

2 calls:

14.0ms
(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
9.0ms
(/.f64 (-.f64 t z) (-.f64 y z))

series416.0ms (10.3%)

Counts
2 → 6
Calls

2 calls:

318.0ms
(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
97.0ms
(/.f64 (-.f64 t z) (-.f64 y z))

simplify87.0ms (2.1%)

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050304887

prune280.0ms (6.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1973200
Fresh448
Picked011
Done000
Total2018209

Merged error: 0b

Counts
209 → 8
Compiler

Compiled 6165 to 2175 computations (64.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 y z))
0.2b
(*.f64 (-.f64 t z) (/.f64 1 (-.f64 y z)))
1.5b
(/.f64 x (*.f64 (-.f64 t z) (/.f64 1 (-.f64 y z))))

rewrite48.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
35×times-frac_binary64
25×add-cube-cbrt_binary64 add-exp-log_binary64
21×associate-*r*_binary64
19×add-cbrt-cube_binary64
10×associate-/r/_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
div-exp_binary64
associate-/r*_binary64 pow1_binary64 flip3--_binary64 cbrt-undiv_binary64 prod-exp_binary64 associate-/l*_binary64 flip--_binary64
associate-*l*_binary64
cbrt-unprod_binary64 frac-times_binary64 associate-*l/_binary64
add-log-exp_binary64 unswap-sqr_binary64 rec-exp_binary64 div-inv_binary64
associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 un-div-inv_binary64
pow-prod-down_binary64 inv-pow_binary64 pow-flip_binary64 *-commutative_binary64
Counts
3 → 119
Calls

3 calls:

16.0ms
(*.f64 (-.f64 t z) (/.f64 1 (-.f64 y z)))
15.0ms
(/.f64 x (*.f64 (-.f64 t z) (/.f64 1 (-.f64 y z))))
6.0ms
(/.f64 1 (-.f64 y z))

series443.0ms (10.9%)

Counts
3 → 9
Calls

3 calls:

315.0ms
(/.f64 x (*.f64 (-.f64 t z) (/.f64 1 (-.f64 y z))))
85.0ms
(*.f64 (-.f64 t z) (/.f64 1 (-.f64 y z)))
43.0ms
(/.f64 1 (-.f64 y z))

simplify77.0ms (1.9%)

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
059091658

prune93.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh066
Picked011
Done011
Total1288136

Merged error: 0b

Counts
136 → 8
Compiler

Compiled 2013 to 703 computations (65.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 y z) (-.f64 t z))
1.8b
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite37.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt_binary64
70×*-un-lft-identity_binary64
51×times-frac_binary64
31×associate-*r*_binary64
26×add-cube-cbrt_binary64
22×difference-of-squares_binary64 distribute-lft-out--_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 associate-/l*_binary64
pow1_binary64 associate-/r/_binary64
flip3--_binary64 associate-*l*_binary64 flip--_binary64
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
pow-prod-down_binary64 associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
2 → 102
Calls

2 calls:

18.0ms
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
9.0ms
(/.f64 (-.f64 y z) (-.f64 t z))

series270.0ms (6.7%)

Counts
2 → 6
Calls

2 calls:

184.0ms
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
85.0ms
(/.f64 (-.f64 y z) (-.f64 t z))

simplify48.0ms (1.2%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
052881767

prune221.0ms (5.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1080108
Fresh055
Picked011
Done022
Total1088116

Merged error: 0b

Counts
116 → 8
Compiler

Compiled 1863 to 388 computations (79.2% saved)

regimes79.0ms (2%)

Compiler

Compiled 491 to 433 computations (11.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02113
12113

end0.0ms (0%)

sample675.0ms (16.6%)

Algorithm
intervals
Results
271.0ms8000×body128valid
23.0ms607×body128invalid
Compiler

Compiled 121 to 106 computations (12.4% saved)

Profiling

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