Details

Time bar (total: 6.8s)

analyze705.0ms (10.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0485291
1485291
044
144
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)

sample23.0ms (0.3%)

Algorithm
intervals
Results
10.0ms256×body128valid
1.0ms19×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify280.0ms (4.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (274.0ms)

IterNodesCost
0558013

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
9.8b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
9.3b
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite73.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
16×add-sqr-sqrt_binary64_15104
14×*-un-lft-identity_binary64_15082
add-exp-log_binary64_15120 add-cbrt-cube_binary64_15118
add-cube-cbrt_binary64_15117
cancel-sign-sub-inv_binary64_15048
times-frac_binary64_15088 associate-/r*_binary64_15026 associate-*r*_binary64_15022
pow1_binary64_15143 associate-*r/_binary64_15024 distribute-rgt-in_binary64_15032 distribute-lft-in_binary64_15031
difference-of-squares_binary64_15051 distribute-lft-out--_binary64_15034 flip3--_binary64_15086 flip--_binary64_15057 associate-*l*_binary64_15023
prod-exp_binary64_15131 div-exp_binary64_15133 add-log-exp_binary64_15121 cbrt-undiv_binary64_15116 cbrt-unprod_binary64_15115 associate-/l/_binary64_15029 associate-/r/_binary64_15028 sub-neg_binary64_15075
frac-2neg_binary64_15093 clear-num_binary64_15081 div-inv_binary64_15079 associate-/l*_binary64_15027 pow-prod-down_binary64_15153 unswap-sqr_binary64_15050 *-commutative_binary64_15013
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 944 to 241 computations (74.5% saved)

series416.0ms (6.1%)

Error
3.8b
Counts
2 → 47
Calls

2 calls:

285.0ms
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
85.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 2198 to 1269 computations (42.3% saved)

simplify86.0ms (1.3%)

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049741845
149741845

prune84.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1015106
Fresh000
Picked011
Done000
Total1016107
Error
0.0b
Counts
107 → 6
Compiler

Compiled 1685 to 361 computations (78.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 y z) (-.f64 t z))
2.5b
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite101.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
75×add-sqr-sqrt_binary64_15104
70×*-un-lft-identity_binary64_15082
51×times-frac_binary64_15088
31×associate-*r*_binary64_15022
26×add-cube-cbrt_binary64_15117
22×difference-of-squares_binary64_15051 distribute-lft-out--_binary64_15034
add-exp-log_binary64_15120 add-cbrt-cube_binary64_15118
associate-/l*_binary64_15027 associate-/r*_binary64_15026
pow1_binary64_15143 associate-/r/_binary64_15028
associate-*l*_binary64_15023 flip3--_binary64_15086 flip--_binary64_15057
div-exp_binary64_15133 prod-exp_binary64_15131 add-log-exp_binary64_15121 cbrt-unprod_binary64_15115 cbrt-undiv_binary64_15116 unswap-sqr_binary64_15050 div-inv_binary64_15079 associate-/l/_binary64_15029
pow-prod-down_binary64_15153 associate-*r/_binary64_15024 *-commutative_binary64_15013 frac-2neg_binary64_15093 div-sub_binary64_15087 clear-num_binary64_15081
Counts
2 → 102
Calls

2 calls:

16.0ms
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
9.0ms
(/.f64 (-.f64 y z) (-.f64 t z))
Compiler

Compiled 1903 to 398 computations (79.1% saved)

series528.0ms (7.7%)

Error
0.0b
Counts
2 → 61
Calls

2 calls:

295.0ms
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
168.0ms
(/.f64 (-.f64 y z) (-.f64 t z))
Compiler

Compiled 3279 to 2006 computations (38.8% saved)

simplify78.0ms (1.1%)

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050663529

prune117.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1621163
Fresh044
Picked011
Done011
Total1627169
Error
0b
Counts
169 → 7
Compiler

Compiled 3068 to 711 computations (76.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 t z) (-.f64 y z))
2.8b
(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite185.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
218×times-frac_binary64_15088
194×add-sqr-sqrt_binary64_15104 *-un-lft-identity_binary64_15082
90×add-cube-cbrt_binary64_15117
52×difference-of-squares_binary64_15051 distribute-lft-out--_binary64_15034
36×associate-/r*_binary64_15026
11×associate-/r/_binary64_15028
add-exp-log_binary64_15120 add-cbrt-cube_binary64_15118
associate-/l*_binary64_15027
div-inv_binary64_15079 flip3--_binary64_15086 flip--_binary64_15057
div-exp_binary64_15133 cbrt-undiv_binary64_15116
pow1_binary64_15143 add-log-exp_binary64_15121 frac-2neg_binary64_15093 clear-num_binary64_15081 associate-/l/_binary64_15029
div-sub_binary64_15087
Counts
2 → 194
Calls

2 calls:

13.0ms
(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
12.0ms
(/.f64 (-.f64 t z) (-.f64 y z))
Compiler

Compiled 4149 to 810 computations (80.5% saved)

series519.0ms (7.6%)

Error
0b
Counts
2 → 58
Calls

2 calls:

287.0ms
(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
175.0ms
(/.f64 (-.f64 t z) (-.f64 y z))
Compiler

Compiled 3097 to 1891 computations (38.9% saved)

simplify111.0ms (1.6%)

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050616690

prune180.0ms (2.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2502252
Fresh224
Picked011
Done022
Total2527259
Error
0b
Counts
259 → 7
Compiler

Compiled 5156 to 832 computations (83.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.0b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x)))
1.8b
(*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x))

rewrite126.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
49×add-sqr-sqrt_binary64_15104
39×*-un-lft-identity_binary64_15082
32×associate-*l*_binary64_15023
30×add-exp-log_binary64_15120
27×times-frac_binary64_15088
19×add-cube-cbrt_binary64_15117
18×pow1_binary64_15143 add-cbrt-cube_binary64_15118
15×prod-exp_binary64_15131 cbrt-unprod_binary64_15115
11×cbrt-prod_binary64_15113
10×difference-of-squares_binary64_15051 distribute-lft-out--_binary64_15034
pow-prod-down_binary64_15153
associate-*r*_binary64_15022
add-log-exp_binary64_15121 unswap-sqr_binary64_15050
div-exp_binary64_15133 cbrt-undiv_binary64_15116
associate-*l/_binary64_15025 associate-/r/_binary64_15028 *-commutative_binary64_15013 pow1/3_binary64_15164
div-inv_binary64_15079 flip3--_binary64_15086 flip--_binary64_15057 associate-*r/_binary64_15024
Counts
4 → 104
Calls

4 calls:

17.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x)))
16.0ms
(*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 2583 to 410 computations (84.1% saved)

series1.0s (14.9%)

Error
0b
Counts
4 → 68
Calls

4 calls:

500.0ms
(*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x))
295.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 y z) (-.f64 t z)) (cbrt.f64 x)))
72.0ms
(cbrt.f64 x)
69.0ms
(cbrt.f64 x)
Compiler

Compiled 4720 to 2933 computations (37.9% saved)

simplify87.0ms (1.3%)

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049883688
149883688

prune125.0ms (1.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1720172
Fresh033
Picked011
Done033
Total1727179
Error
0b
Counts
179 → 7
Compiler

Compiled 3844 to 715 computations (81.4% saved)

regimes562.0ms (8.2%)

Accuracy

Total 1.2b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 4888 to 3435 computations (29.7% saved)

bsearch3.0ms (0%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03764
13764

end0.0ms (0%)

sample1.4s (20.3%)

Algorithm
intervals
Results
259.0ms8000×body128valid
17.0ms596×body128invalid
Compiler

Compiled 1010 to 702 computations (30.5% saved)

Profiling

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