Details

Time bar (total: 4.9s)

analyze641.0ms (13.1%)

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 14 to 9 computations (35.7% saved)

sample24.0ms (0.5%)

Algorithm
intervals
Results
11.0ms256×body128valid
1.0ms17×body128invalid
Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify277.0ms (5.6%)

Algorithm
egg-herbie
Rules
986×div-sub_binary64
972×distribute-rgt-in_binary64
929×distribute-lft-in_binary64
786×sub-neg_binary64
582×times-frac_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11513
23413
37013
413113
521713
650713
7125313
8266413
9282913
10320013
11324113
12325313
13331413
14376313
15350313
16373913
17373113
18376913
19376913
20380713
21380713
22558013

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
12.4b
Counts
1 → 1
Alt Table
StatusErrorProgram
12.4b
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
Compiler

Compiled 26 to 16 computations (38.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
11.7b
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite68.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
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
Counts
2 → 59
Calls

2 calls:

10.0ms
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
7.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 893 to 225 computations (74.8% saved)

series131.0ms (2.7%)

Error
4.9b
Counts
2 → 47
Calls

2 calls:

81.0ms
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
24.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 2010 to 1144 computations (43.1% saved)

simplify128.0ms (2.6%)

Algorithm
egg-herbie
Rules
378×associate-/l/_binary64
349×distribute-rgt-in_binary64
320×distribute-lft-in_binary64
300×cancel-sign-sub-inv_binary64
188×sub-neg_binary64
Counts
106 → 60
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01932178
15352013
221731845
347251845
449941845
549701845

prune31.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New56460
Fresh000
Picked011
Done000
Total56561
Error
0.0b
Counts
61 → 5
Alt Table
StatusErrorProgram
37.7b
(/.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3)) (-.f64 t z))
33.6b
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 t z))) (-.f64 y z)) (sqrt.f64 (-.f64 t z)))
12.4b
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
1.4b
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
36.6b
(*.f64 (/.f64 x t) (+.f64 (/.f64 (*.f64 y z) t) (-.f64 y z)))
Compiler

Compiled 729 to 257 computations (64.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 y z) (-.f64 t z))
1.3b
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite97.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
75×add-sqr-sqrt_binary64
70×*-un-lft-identity_binary64
51×times-frac_binary64
31×associate-*r*_binary64
26×add-cube-cbrt_binary64
Counts
2 → 102
Calls

2 calls:

18.0ms
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
8.0ms
(/.f64 (-.f64 y z) (-.f64 t z))
Compiler

Compiled 1542 to 306 computations (80.2% saved)

series173.0ms (3.5%)

Error
0.0b
Counts
2 → 59
Calls

2 calls:

82.0ms
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
58.0ms
(/.f64 (-.f64 y z) (-.f64 t z))
Compiler

Compiled 2932 to 1727 computations (41.1% saved)

simplify140.0ms (2.9%)

Algorithm
egg-herbie
Rules
410×cancel-sign-sub-inv_binary64
339×distribute-rgt-in_binary64
294×distribute-lft-in_binary64
285×sub-neg_binary64
181×associate-/l*_binary64
Counts
161 → 94
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02583830
17193686
226333377
346423377
449963377

prune49.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New89594
Fresh213
Picked011
Done011
Total91899
Error
0.0b
Counts
99 → 8
Alt Table
StatusErrorProgram
33.3b
(*.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (/.f64 (sqrt.f64 (-.f64 y z)) (-.f64 t z)))
32.2b
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (sqrt.f64 x)))
17.6b
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 t z)) 3)))
2.5b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x)))
12.4b
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
1.4b
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
36.6b
(*.f64 (/.f64 x t) (+.f64 (/.f64 (*.f64 y z) t) (-.f64 y z)))
50.3b
(*.f64 (*.f64 x (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 t z)))
Compiler

Compiled 1430 to 474 computations (66.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.1b
(*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x))

rewrite283.0ms (5.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
50×add-sqr-sqrt_binary64
40×*-un-lft-identity_binary64
31×associate-*l*_binary64
27×times-frac_binary64
20×add-cube-cbrt_binary64
Counts
4 → 88
Calls

4 calls:

16.0ms
(*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1849 to 335 computations (81.9% saved)

series211.0ms (4.3%)

Error
0.0b
Counts
4 → 39
Calls

4 calls:

141.0ms
(*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x))
18.0ms
(cbrt.f64 x)
16.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 x)
Compiler

Compiled 2837 to 1770 computations (37.6% saved)

simplify119.0ms (2.4%)

Algorithm
egg-herbie
Rules
539×times-frac_binary64
440×cancel-sign-sub-inv_binary64
221×distribute-rgt-in_binary64
199×distribute-lft-in_binary64
150×sub-neg_binary64
Counts
127 → 100
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01952463
15412236
218842089
348182089
450202089

prune50.0ms (1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh055
Picked011
Done022
Total1008108
Error
0.0b
Counts
108 → 8
Alt Table
StatusErrorProgram
33.3b
(*.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (/.f64 (sqrt.f64 (-.f64 y z)) (-.f64 t z)))
32.2b
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (sqrt.f64 x)))
17.6b
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 t z)) 3)))
2.5b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x)))
12.4b
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
1.4b
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
36.6b
(*.f64 (/.f64 x t) (+.f64 (/.f64 (*.f64 y z) t) (-.f64 y z)))
50.3b
(*.f64 (*.f64 x (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 t z)))
Compiler

Compiled 1873 to 547 computations (70.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (-.f64 y z) (-.f64 t z))
0.3b
(pow.f64 (/.f64 (-.f64 y z) (-.f64 t z)) 3)
1.3b
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 t z)) 3)))
18.1b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 t z)) 3))

rewrite255.0ms (5.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
246×add-sqr-sqrt_binary64
231×*-un-lft-identity_binary64
177×times-frac_binary64
142×cbrt-prod_binary64
95×unpow-prod-down_binary64 cube-prod_binary64
Counts
4 → 305
Calls

4 calls:

38.0ms
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 t z)) 3)))
14.0ms
(pow.f64 (/.f64 (-.f64 y z) (-.f64 t z)) 3)
14.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 t z)) 3))
9.0ms
(/.f64 (-.f64 y z) (-.f64 t z))
Compiler

Compiled 3965 to 1357 computations (65.8% saved)

series496.0ms (10.1%)

Error
0.0b
Counts
4 → 119
Calls

4 calls:

168.0ms
(pow.f64 (/.f64 (-.f64 y z) (-.f64 t z)) 3)
94.0ms
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 t z)) 3)))
72.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 t z)) 3))
60.0ms
(/.f64 (-.f64 y z) (-.f64 t z))
Compiler

Compiled 8524 to 5782 computations (32.2% saved)

simplify238.0ms (4.9%)

Algorithm
egg-herbie
Rules
436×associate-/l*_binary64
410×times-frac_binary64
241×associate-/r*_binary64
197×associate-*l/_binary64
182×associate-*r/_binary64
Counts
424 → 344
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063112202
1186011715
2504111715

prune160.0ms (3.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New3440344
Fresh044
Picked011
Done033
Total3448352
Error
0.0b
Counts
352 → 8
Alt Table
StatusErrorProgram
33.3b
(*.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (/.f64 (sqrt.f64 (-.f64 y z)) (-.f64 t z)))
32.2b
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (sqrt.f64 x)))
17.6b
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 t z)) 3)))
2.5b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x)))
12.4b
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
1.4b
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
36.6b
(*.f64 (/.f64 x t) (+.f64 (/.f64 (*.f64 y z) t) (-.f64 y z)))
50.3b
(*.f64 (*.f64 x (+.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 t z)))
Compiler

Compiled 5162 to 2018 computations (60.9% saved)

regimes563.0ms (11.5%)

Accuracy

Total 2.1b remaining (98.8%)

Threshold costs 0b (0%)

Compiler

Compiled 8611 to 4820 computations (44% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64 +-commutative_binary64
*-commutative_binary64
1-exp_binary64 neg-mul-1_binary64 neg-sub0_binary64 /-rgt-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11713
22213
32413
42513
52413

end1.0ms (0%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

sample729.0ms (14.9%)

Algorithm
intervals
Results
261.0ms8000×body128valid
17.0ms592×body128invalid
Compiler

Compiled 167 to 101 computations (39.5% saved)

Profiling

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