Details

Time bar (total: 3.3s)

analyze505.0ms (15.2%)

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
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)

sample16.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms11×body80invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify295.0ms (8.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (286.0ms)

IterNodesCost
0548913

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.0b

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 y z))
10.4b
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite22.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
associate-/r*_binary64 associate-*r*_binary64 times-frac_binary64
pow1_binary64 associate-*r/_binary64
flip3--_binary64 associate-*l*_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
associate-/l/_binary64 add-log-exp_binary64 sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64
pow-prod-down_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 53
Calls

2 calls:

13.0ms
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
7.0ms
(*.f64 x (-.f64 y z))

series28.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

19.0ms
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
8.0ms
(*.f64 x (-.f64 y z))

simplify70.0ms (2.1%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05977716

prune57.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New51859
Fresh000
Picked011
Done000
Total51960

Merged error: 0.0b

Counts
60 → 9
Compiler

Compiled 890 to 257 computations (71.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 y z) (-.f64 t z))
1.7b
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite30.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt_binary64
70×*-un-lft-identity_binary64
51×times-frac_binary64
31×associate-*r*_binary64
26×add-cube-cbrt_binary64
22×difference-of-squares_binary64 distribute-lft-out--_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 associate-/l*_binary64
pow1_binary64 associate-/r/_binary64
flip3--_binary64 associate-*l*_binary64 flip--_binary64
associate-/l/_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
pow-prod-down_binary64 associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
2 → 102
Calls

2 calls:

14.0ms
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
8.0ms
(/.f64 (-.f64 y z) (-.f64 t z))

series29.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

19.0ms
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
11.0ms
(/.f64 (-.f64 y z) (-.f64 t z))

simplify85.0ms (2.6%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
050261767

prune71.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1044108
Fresh347
Picked101
Done011
Total1089117

Merged error: 0b

Counts
117 → 9
Compiler

Compiled 1869 to 380 computations (79.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 y (-.f64 t z)) (/.f64 z (-.f64 t z)))
0.0b
(/.f64 z (-.f64 t z))
0.0b
(/.f64 y (-.f64 t z))
1.7b
(*.f64 x (-.f64 (/.f64 y (-.f64 t z)) (/.f64 z (-.f64 t z))))

rewrite76.0ms (2.3%)

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity_binary64
80×add-sqr-sqrt_binary64
66×times-frac_binary64
32×distribute-lft-out--_binary64
30×add-cube-cbrt_binary64
20×difference-of-squares_binary64
18×associate-*r*_binary64
12×associate-/r/_binary64
10×associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
flip3--_binary64 flip--_binary64
add-log-exp_binary64 pow1_binary64 distribute-rgt-out--_binary64 associate-/l*_binary64 div-inv_binary64
associate-*r/_binary64
sub-neg_binary64 associate-*l*_binary64
cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 sub-div_binary64 frac-sub_binary64
pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
4 → 141
Calls

4 calls:

31.0ms
(*.f64 x (-.f64 (/.f64 y (-.f64 t z)) (/.f64 z (-.f64 t z))))
28.0ms
(-.f64 (/.f64 y (-.f64 t z)) (/.f64 z (-.f64 t z)))
6.0ms
(/.f64 y (-.f64 t z))
6.0ms
(/.f64 z (-.f64 t z))

series54.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

25.0ms
(*.f64 x (-.f64 (/.f64 y (-.f64 t z)) (/.f64 z (-.f64 t z))))
15.0ms
(-.f64 (/.f64 y (-.f64 t z)) (/.f64 z (-.f64 t z)))
8.0ms
(/.f64 y (-.f64 t z))
6.0ms
(/.f64 z (-.f64 t z))

simplify117.0ms (3.5%)

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
049132450
149132450

prune81.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1521153
Fresh347
Picked011
Done011
Total1557162

Merged error: 0b

Counts
162 → 7
Compiler

Compiled 3069 to 614 computations (80% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 t z) (-.f64 y z))
1.7b
(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite33.0ms (1%)

Algorithm
rewrite-expression-head
Rules
218×times-frac_binary64
194×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
90×add-cube-cbrt_binary64
52×difference-of-squares_binary64 distribute-lft-out--_binary64
36×associate-/r*_binary64
11×associate-/r/_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
flip3--_binary64 div-inv_binary64 flip--_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
div-sub_binary64
Counts
2 → 194
Calls

2 calls:

12.0ms
(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
8.0ms
(/.f64 (-.f64 t z) (-.f64 y z))

series42.0ms (1.3%)

Counts
2 → 6
Calls

2 calls:

29.0ms
(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
13.0ms
(/.f64 (-.f64 t z) (-.f64 y z))

simplify99.0ms (3%)

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
050804881

prune78.0ms (2.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2000200
Fresh044
Picked011
Done022
Total2007207

Merged error: 0b

Counts
207 → 7
Compiler

Compiled 3838 to 519 computations (86.5% saved)

regimes275.0ms (8.3%)

Compiler

Compiled 524 to 402 computations (23.3% saved)

bsearch30.0ms (0.9%)

Steps
ItersRangePoint
6
4.724992679275217e-142
2.5071130514509977e-141
1.1879064539926738e-141
10
-1.656450994767292e-172
-3.5221651380943447e-182
-3.2536737955449917e-177
Compiler

Compiled 1 to 4 computations (-300% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04557
14557

end0.0ms (0%)

sample1.2s (35.9%)

Algorithm
intervals
Results
239.0ms8000×body80valid
19.0ms648×body80invalid
Compiler

Compiled 148 to 105 computations (29.1% saved)

Profiling

Loading profile data...