Details

Time bar (total: 2.0s)

analyze305.0ms (15.4%)

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
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (0.8%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms15×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify20.0ms (1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
027410
127410

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 39 to 34 computations (12.8% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 z (*.f64 x (-.f64 y z)))
0.0b
(*.f64 x (-.f64 y z))

rewrite20.0ms (1%)

Algorithm
rewrite-expression-head
Rules
12×cancel-sign-sub-inv_binary64 add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64
add-cube-cbrt_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 associate-+r+_binary64
associate-*r*_binary64
add-log-exp_binary64 sub-neg_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
associate-*r/_binary64
pow-prod-down_binary64 flip3-+_binary64 flip3--_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 49
Calls

2 calls:

9.0ms
(*.f64 x (-.f64 y z))
5.0ms
(+.f64 z (*.f64 x (-.f64 y z)))

series124.0ms (6.2%)

Counts
2 → 6
Calls

2 calls:

64.0ms
(*.f64 x (-.f64 y z))
59.0ms
(+.f64 z (*.f64 x (-.f64 y z)))

simplify69.0ms (3.5%)

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05015584

prune39.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New54155
Fresh011
Picked011
Done000
Total54357

Merged error: 0b

Counts
57 → 3
Compiler

Compiled 749 to 225 computations (70% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
associate-*l*_binary64
add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64
difference-of-squares_binary64 associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 flip3--_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 34
Calls

2 calls:

8.0ms
(*.f64 (-.f64 1 x) z)
5.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))

series93.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

51.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
41.0ms
(*.f64 (-.f64 1 x) z)

simplify61.0ms (3.1%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05124464

prune26.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New40040
Fresh011
Picked011
Done011
Total40343

Merged error: 0b

Counts
43 → 3
Compiler

Compiled 555 to 256 computations (53.9% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 z (/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z)))
3.1b
(-.f64 (*.f64 y y) (*.f64 z z))
7.7b
(*.f64 x (-.f64 (*.f64 y y) (*.f64 z z)))
18.7b
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))

rewrite40.0ms (2%)

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
10×add-sqr-sqrt_binary64
add-log-exp_binary64 add-cube-cbrt_binary64
pow1_binary64
associate-/r*_binary64 associate-*r*_binary64 associate-*r/_binary64 times-frac_binary64
sub-neg_binary64 flip3--_binary64 distribute-lft-out_binary64 associate-*l*_binary64 cancel-sign-sub-inv_binary64 flip--_binary64
flip3-+_binary64 associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 associate-/r/_binary64 distribute-rgt-in_binary64 prod-exp_binary64 difference-of-squares_binary64 div-exp_binary64 flip-+_binary64
pow-prod-down_binary64 diff-log_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 77
Calls

4 calls:

12.0ms
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))
8.0ms
(+.f64 z (/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z)))
8.0ms
(*.f64 x (-.f64 (*.f64 y y) (*.f64 z z)))
5.0ms
(-.f64 (*.f64 y y) (*.f64 z z))

series437.0ms (22.1%)

Counts
4 → 12
Calls

4 calls:

174.0ms
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))
114.0ms
(*.f64 x (-.f64 (*.f64 y y) (*.f64 z z)))
108.0ms
(+.f64 z (/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z)))
41.0ms
(-.f64 (*.f64 y y) (*.f64 z z))

simplify71.0ms (3.6%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050051253

prune59.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done022
Total89392

Merged error: 0b

Counts
92 → 3
Compiler

Compiled 1542 to 325 computations (78.9% saved)

regimes45.0ms (2.3%)

Compiler

Compiled 148 to 130 computations (12.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample513.0ms (25.9%)

Algorithm
intervals
Results
227.0ms8000×body128valid
22.0ms665×body128invalid
Compiler

Compiled 48 to 42 computations (12.5% saved)

Profiling

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