Details

Time bar (total: 5.3s)

analyze1.0s (19.3%)

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
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample27.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
3.0ms94×body128invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify51.0ms (1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
068013
168013

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.1b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 y (-.f64 z t))
9.0b
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite21.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
cancel-sign-sub-inv_binary64
associate-*r*_binary64
pow1_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
associate-/r*_binary64 associate-*l*_binary64 times-frac_binary64
associate-/l/_binary64 add-log-exp_binary64 sub-neg_binary64 flip3--_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64 flip--_binary64
pow-prod-down_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
Counts
2 → 53
Calls

2 calls:

9.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
8.0ms
(*.f64 y (-.f64 z t))

series177.0ms (3.3%)

Counts
2 → 6
Calls

2 calls:

112.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
65.0ms
(*.f64 y (-.f64 z t))

simplify67.0ms (1.3%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05280626

prune105.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New52759
Fresh000
Picked011
Done000
Total52860

Merged error: 0.0b

Counts
60 → 8
Compiler

Compiled 1726 to 959 computations (44.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
4.1b
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite40.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt_binary64
40×times-frac_binary64
38×*-un-lft-identity_binary64
34×associate-*r*_binary64
26×add-cube-cbrt_binary64 cbrt-prod_binary64
25×add-exp-log_binary64
18×add-cbrt-cube_binary64
cbrt-unprod_binary64 prod-exp_binary64
cbrt-undiv_binary64 associate-*l*_binary64 div-exp_binary64
pow1_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
add-log-exp_binary64
pow1/3_binary64
div-inv_binary64
pow-prod-down_binary64 associate-*r/_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 104
Calls

4 calls:

25.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)

series733.0ms (13.8%)

Counts
4 → 12
Calls

4 calls:

245.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
172.0ms
(cbrt.f64 a)
165.0ms
(cbrt.f64 a)
150.0ms
(cbrt.f64 a)

simplify92.0ms (1.7%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049481665
149481665

prune105.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh246
Picked011
Done011
Total1177124

Merged error: 0.0b

Counts
124 → 7
Compiler

Compiled 2446 to 800 computations (67.3% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.0b
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))

rewrite40.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt_binary64
38×times-frac_binary64
33×*-un-lft-identity_binary64
26×cancel-sign-sub-inv_binary64
25×add-cube-cbrt_binary64
14×distribute-lft-in_binary64 distribute-rgt-in_binary64
13×associate-*l*_binary64
12×associate-*r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
div-inv_binary64
associate-*r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 frac-times_binary64
pow1_binary64
sub-neg_binary64 flip3--_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 sub-div_binary64 flip--_binary64 frac-sub_binary64
pow-prod-down_binary64 add-log-exp_binary64 distribute-rgt-out--_binary64 cbrt-undiv_binary64 div-exp_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
1 → 77
Calls

1 calls:

31.0ms
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))

series135.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

135.0ms
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))

simplify80.0ms (1.5%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
048921396
148921396

prune106.0ms (2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New79180
Fresh044
Picked011
Done022
Total79887

Merged error: 0b

Counts
87 → 8
Compiler

Compiled 1984 to 1094 computations (44.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.0b
(*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z))
8.4b
(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
8.4b
(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
8.4b
(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))

rewrite61.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
15×cbrt-div_binary64
14×*-un-lft-identity_binary64
13×associate-*l*_binary64
12×add-cube-cbrt_binary64
10×times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 associate-*r/_binary64 flip-+_binary64 frac-times_binary64
pow1_binary64
add-log-exp_binary64 associate-*r*_binary64 associate-*l/_binary64
pow1/3_binary64 cbrt-prod_binary64
cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
pow-prod-down_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
Counts
4 → 81
Calls

4 calls:

16.0ms
(*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z))
12.0ms
(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
12.0ms
(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
11.0ms
(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))

series975.0ms (18.3%)

Counts
4 → 12
Calls

4 calls:

289.0ms
(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
284.0ms
(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
279.0ms
(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
123.0ms
(*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z))

simplify62.0ms (1.2%)

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051681727

prune160.0ms (3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New93093
Fresh044
Picked011
Done033
Total938101

Merged error: 0b

Counts
101 → 8
Compiler

Compiled 3892 to 2148 computations (44.8% saved)

regimes229.0ms (4.3%)

Compiler

Compiled 1141 to 1035 computations (9.3% saved)

bsearch65.0ms (1.2%)

Steps
ItersRangePoint
8
-9.404309348955635e-287
-8.411234025637987e-291
-2.6234574301132324e-290
9
-1.348345141173369e-45
-1.4055141493884827e-52
-1.3324425564495981e-45
Compiler

Compiled 1 to 5 computations (-400% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
019357
119357

end0.0ms (0%)

sample914.0ms (17.2%)

Algorithm
intervals
Results
289.0ms8000×body128valid
91.0ms2497×body128invalid
Compiler

Compiled 203 to 162 computations (20.2% saved)

Profiling

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