Details

Time bar (total: 3.6s)

analyze854.0ms (23.7%)

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
12.5%87.3%0.2%8
18.7%81.1%0.2%9
22.6%77.2%0.2%10
25%74.9%0.2%11
39.4%60.4%0.2%12
46.5%53.2%0.3%13
48%51.4%0.6%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample19.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms24×body80invalid
Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify92.0ms (2.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
0119713
1119713

prune8.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.0b

Counts
2 → 2
Compiler

Compiled 29 to 28 computations (3.4% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 2 (-.f64 y t))
0.2b
(/.f64 (/.f64 2 (-.f64 y t)) z)
5.1b
(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite51.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
249×times-frac_binary64
180×add-sqr-sqrt_binary64
171×*-un-lft-identity_binary64
121×add-cube-cbrt_binary64
67×associate-*r*_binary64
25×difference-of-squares_binary64 distribute-lft-out--_binary64
24×associate-/l*_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-/r/_binary64
10×div-inv_binary64
associate-/r*_binary64 flip3--_binary64 flip--_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64
add-log-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64 unswap-sqr_binary64 prod-exp_binary64
clear-num_binary64 frac-2neg_binary64
pow-prod-down_binary64 associate-/l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
3 → 228
Calls

3 calls:

21.0ms
(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
9.0ms
(/.f64 (/.f64 2 (-.f64 y t)) z)
6.0ms
(/.f64 2 (-.f64 y t))

series43.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

19.0ms
(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
17.0ms
(/.f64 (/.f64 2 (-.f64 y t)) z)
6.0ms
(/.f64 2 (-.f64 y t))

simplify120.0ms (3.3%)

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
050024394

prune192.0ms (5.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2307237
Fresh011
Picked011
Done000
Total2309239

Merged error: 0.0b

Counts
239 → 9
Compiler

Compiled 4419 to 2051 computations (53.6% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 2 (-.f64 y t))
0.2b
(*.f64 x (/.f64 2 (-.f64 y t)))
4.3b
(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)

rewrite30.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt_binary64
39×*-un-lft-identity_binary64
34×times-frac_binary64
25×add-cube-cbrt_binary64
21×associate-*r*_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64
cbrt-unprod_binary64 associate-/r/_binary64 prod-exp_binary64 associate-/l*_binary64
add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64
flip3--_binary64 associate-*r/_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64
pow-prod-down_binary64 associate-/l/_binary64 *-commutative_binary64
Counts
3 → 101
Calls

3 calls:

12.0ms
(*.f64 x (/.f64 2 (-.f64 y t)))
9.0ms
(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)
6.0ms
(/.f64 2 (-.f64 y t))

series31.0ms (0.9%)

Counts
3 → 9
Calls

3 calls:

17.0ms
(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)
9.0ms
(*.f64 x (/.f64 2 (-.f64 y t)))
6.0ms
(/.f64 2 (-.f64 y t))

simplify140.0ms (3.9%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
049981404
149981404

prune129.0ms (3.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1082110
Fresh347
Picked101
Done011
Total1127119

Merged error: 0b

Counts
119 → 7
Compiler

Compiled 1618 to 835 computations (48.4% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (*.f64 x 2) (-.f64 y t))
4.3b
(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)

rewrite33.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
58×times-frac_binary64
36×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
24×add-cube-cbrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
12×associate-/l*_binary64
10×associate-/r/_binary64
associate-/r*_binary64
cbrt-undiv_binary64 div-exp_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64
flip3--_binary64 flip--_binary64
add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64
associate-/l/_binary64
Counts
2 → 91
Calls

2 calls:

18.0ms
(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)
11.0ms
(/.f64 (*.f64 x 2) (-.f64 y t))

series28.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

17.0ms
(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)
11.0ms
(/.f64 (*.f64 x 2) (-.f64 y t))

simplify71.0ms (2%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
053701737

prune76.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New96197
Fresh235
Picked011
Done011
Total986104

Merged error: 0b

Counts
104 → 6
Compiler

Compiled 1529 to 662 computations (56.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (*.f64 x 2) (-.f64 y t))
4.4b
(*.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) (/.f64 1 z))

rewrite28.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
46×add-exp-log_binary64
28×add-cbrt-cube_binary64
26×add-sqr-sqrt_binary64
21×times-frac_binary64
20×*-un-lft-identity_binary64
17×prod-exp_binary64
16×div-exp_binary64
13×associate-*r*_binary64 add-cube-cbrt_binary64
11×associate-*l*_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64
associate-/r*_binary64
pow1_binary64 associate-/r/_binary64
1-exp_binary64 unswap-sqr_binary64 difference-of-squares_binary64 rec-exp_binary64 distribute-lft-out--_binary64 div-inv_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64
pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 un-div-inv_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
2 → 85
Calls

2 calls:

15.0ms
(*.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) (/.f64 1 z))
7.0ms
(/.f64 (*.f64 x 2) (-.f64 y t))

series26.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

18.0ms
(*.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) (/.f64 1 z))
9.0ms
(/.f64 (*.f64 x 2) (-.f64 y t))

simplify84.0ms (2.3%)

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
054131266

prune49.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New90191
Fresh123
Picked011
Done022
Total91697

Merged error: 0b

Counts
97 → 6
Compiler

Compiled 1291 to 691 computations (46.5% saved)

regimes308.0ms (8.5%)

Compiler

Compiled 388 to 394 computations (-1.5% saved)

bsearch33.0ms (0.9%)

Steps
ItersRangePoint
11
7.102446271983328e-68
3.1846190353222187e-40
4.631462716974067e-61
8
-3.6005993918703206e+47
-6.367861408154623e+44
-5.4934368200861185e+45
Compiler

Compiled 1 to 4 computations (-300% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03654
13654

end0.0ms (0%)

sample1.1s (31.1%)

Algorithm
intervals
Results
285.0ms8000×body80valid
23.0ms690×body80invalid
Compiler

Compiled 170 to 130 computations (23.5% saved)

Profiling

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