Details

Time bar (total: 4.3s)

analyze635.0ms (14.8%)

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
0%99.8%0.2%8
17.2%82.7%0.2%9
22.6%77.2%0.2%10
25.7%74.1%0.2%11
28.3%69.9%1.9%12
40.1%55.3%4.6%13
44.4%49.9%5.8%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.5%)

Algorithm
intervals
Results
8.0ms256×body128valid
2.0ms72×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify54.0ms (1.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
070413
170413

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.8b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
7.6b
(*.f64 (-.f64 y x) (/.f64 z t))

rewrite20.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
13×associate-*r*_binary64
12×*-un-lft-identity_binary64
10×add-cube-cbrt_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
add-log-exp_binary64 pow1_binary64
flip3--_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 flip--_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 associate-*r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 49
Calls

2 calls:

12.0ms
(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series190.0ms (4.4%)

Counts
2 → 6
Calls

2 calls:

108.0ms
(*.f64 (-.f64 y x) (/.f64 z t))
82.0ms
(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify63.0ms (1.5%)

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05338832

prune163.0ms (3.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New47855
Fresh000
Picked011
Done000
Total47956

Merged error: 0.0b

Counts
56 → 9
Compiler

Compiled 3022 to 1657 computations (45.2% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
2.3b
(*.f64 (-.f64 y x) (/.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite28.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64
14×add-cbrt-cube_binary64 add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64
cbrt-unprod_binary64 add-cube-cbrt_binary64 prod-exp_binary64 cbrt-prod_binary64
pow1_binary64
associate-*r*_binary64 associate-*l*_binary64
add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64
pow1/3_binary64
flip3--_binary64 unswap-sqr_binary64 times-frac_binary64 flip--_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 associate-*r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 69
Calls

4 calls:

18.0ms
(*.f64 (-.f64 y x) (/.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series712.0ms (16.6%)

Counts
4 → 12
Calls

4 calls:

257.0ms
(*.f64 (-.f64 y x) (/.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
158.0ms
(cbrt.f64 z)
150.0ms
(cbrt.f64 z)
146.0ms
(cbrt.f64 z)

simplify40.0ms (0.9%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
052841103

prune86.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh077
Picked011
Done011
Total81990

Merged error: 0.0b

Counts
90 → 9
Compiler

Compiled 2246 to 627 computations (72.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
5.0b
(*.f64 (*.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

rewrite31.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
25×add-exp-log_binary64
22×associate-*r*_binary64
20×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×add-cbrt-cube_binary64 times-frac_binary64 cbrt-prod_binary64
13×pow1_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
pow-prod-down_binary64 associate-*l/_binary64
add-log-exp_binary64
cbrt-undiv_binary64 pow1/3_binary64 div-exp_binary64
flip3--_binary64 flip--_binary64 frac-times_binary64
associate-*r/_binary64 associate-*l*_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 84
Calls

4 calls:

20.0ms
(*.f64 (*.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series656.0ms (15.3%)

Counts
4 → 12
Calls

4 calls:

189.0ms
(*.f64 (*.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))
169.0ms
(cbrt.f64 z)
150.0ms
(cbrt.f64 z)
147.0ms
(cbrt.f64 z)

simplify78.0ms (1.8%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049641116
149641116

prune76.0ms (1.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh066
Picked011
Done022
Total969105

Merged error: 0.0b

Counts
105 → 9
Compiler

Compiled 1815 to 556 computations (69.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
0.0b
(*.f64 (-.f64 y x) z)
6.5b
(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite25.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
add-log-exp_binary64 pow1_binary64 associate-*l*_binary64
associate-*l/_binary64
associate-/r*_binary64 associate-*r*_binary64 times-frac_binary64
associate-/l/_binary64 flip3--_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64 flip--_binary64
pow-prod-down_binary64 flip3-+_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 57
Calls

3 calls:

8.0ms
(/.f64 (*.f64 (-.f64 y x) z) t)
8.0ms
(*.f64 (-.f64 y x) z)
6.0ms
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

series250.0ms (5.8%)

Counts
3 → 9
Calls

3 calls:

108.0ms
(/.f64 (*.f64 (-.f64 y x) z) t)
79.0ms
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
62.0ms
(*.f64 (-.f64 y x) z)

simplify64.0ms (1.5%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04976826
14976826

prune110.0ms (2.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New63366
Fresh145
Picked011
Done033
Total641175

Merged error: 0b

Counts
75 → 11
Compiler

Compiled 2157 to 1072 computations (50.3% saved)

regimes139.0ms (3.2%)

Compiler

Compiled 1181 to 824 computations (30.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02837
12837

end0.0ms (0%)

sample804.0ms (18.8%)

Algorithm
intervals
Results
258.0ms8000×body128valid
72.0ms2181×body128invalid
Compiler

Compiled 263 to 167 computations (36.5% saved)

Profiling

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