Details

Time bar (total: 3.1s)

analyze592.0ms (19.1%)

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
3.1%96.7%0.2%8
19.9%79.9%0.2%9
22.8%77%0.2%10
35.1%64.7%0.2%11
45%54.8%0.2%12
53.8%45.1%1.2%13
56.2%42.4%1.5%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms17×body80invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify287.0ms (9.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (277.0ms)

IterNodesCost
0540513

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.1b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 x y) (-.f64 z y))
2.1b
(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite29.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt_binary64
70×*-un-lft-identity_binary64
51×times-frac_binary64
31×associate-*l*_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-*r*_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 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
2 → 102
Calls

2 calls:

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

series35.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

25.0ms
(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
10.0ms
(/.f64 (-.f64 x y) (-.f64 z y))

simplify88.0ms (2.8%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
056511792

prune76.0ms (2.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1026108
Fresh000
Picked101
Done000
Total1036109

Merged error: 0.0b

Counts
109 → 6
Compiler

Compiled 1870 to 411 computations (78% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 z y))
0.2b
(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
2.1b
(*.f64 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)

rewrite40.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt_binary64
41×*-un-lft-identity_binary64
32×times-frac_binary64
31×add-exp-log_binary64
24×associate-*r*_binary64 add-cube-cbrt_binary64
19×add-cbrt-cube_binary64
13×prod-exp_binary64
11×pow1_binary64
10×associate-*l/_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
cbrt-unprod_binary64
flip3--_binary64 associate-*l*_binary64 div-exp_binary64 flip--_binary64
associate-/r*_binary64
pow-prod-down_binary64 associate-/r/_binary64 frac-times_binary64
add-log-exp_binary64 1-exp_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 rec-exp_binary64 associate-/l*_binary64
associate-*r/_binary64 un-div-inv_binary64 div-inv_binary64 *-commutative_binary64
clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 pow-flip_binary64
Counts
3 → 119
Calls

3 calls:

14.0ms
(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
13.0ms
(*.f64 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)
8.0ms
(/.f64 1 (-.f64 z y))

series39.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

24.0ms
(*.f64 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)
10.0ms
(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
5.0ms
(/.f64 1 (-.f64 z y))

simplify90.0ms (2.9%)

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
058501618

prune74.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1280128
Fresh055
Picked011
Done000
Total1286134

Merged error: 0.0b

Counts
134 → 6
Compiler

Compiled 1989 to 679 computations (65.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 x y) t)
7.8b
(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))

rewrite18.0ms (0.6%)

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-*l*_binary64 times-frac_binary64
pow1_binary64 associate-*l/_binary64
flip3--_binary64 associate-*r*_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
associate-/l/_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64
pow-prod-down_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 51
Calls

2 calls:

9.0ms
(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))
7.0ms
(*.f64 (-.f64 x y) t)

series24.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

17.0ms
(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))
7.0ms
(*.f64 (-.f64 x y) t)

simplify69.0ms (2.2%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05862693

prune39.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New55257
Fresh134
Picked011
Done011
Total56763

Merged error: 0b

Counts
63 → 7
Compiler

Compiled 821 to 230 computations (72% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 z y))
0.0b
(*.f64 (-.f64 x y) t)
7.9b
(*.f64 (*.f64 (-.f64 x y) t) (/.f64 1 (-.f64 z y)))

rewrite34.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt_binary64
40×*-un-lft-identity_binary64
31×add-exp-log_binary64
30×times-frac_binary64
24×associate-*r*_binary64 add-cube-cbrt_binary64
19×add-cbrt-cube_binary64
13×prod-exp_binary64
11×pow1_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64 associate-*l/_binary64
cbrt-unprod_binary64
associate-*l*_binary64 div-exp_binary64
associate-/r*_binary64 flip3--_binary64 flip--_binary64
pow-prod-down_binary64 associate-/r/_binary64
add-log-exp_binary64 1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64 associate-/l*_binary64
div-inv_binary64 frac-times_binary64 *-commutative_binary64
associate-*r/_binary64 unswap-sqr_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 un-div-inv_binary64 pow-flip_binary64
Counts
3 → 113
Calls

3 calls:

17.0ms
(*.f64 (*.f64 (-.f64 x y) t) (/.f64 1 (-.f64 z y)))
7.0ms
(*.f64 (-.f64 x y) t)
6.0ms
(/.f64 1 (-.f64 z y))

series29.0ms (0.9%)

Counts
3 → 9
Calls

3 calls:

17.0ms
(*.f64 (*.f64 (-.f64 x y) t) (/.f64 1 (-.f64 z y)))
7.0ms
(*.f64 (-.f64 x y) t)
5.0ms
(/.f64 1 (-.f64 z y))

simplify72.0ms (2.3%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
059491534

prune55.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh044
Picked011
Done022
Total1227129

Merged error: 0b

Counts
129 → 7
Compiler

Compiled 1869 to 585 computations (68.7% saved)

regimes247.0ms (7.9%)

Compiler

Compiled 447 to 376 computations (15.9% saved)

bsearch31.0ms (1%)

Steps
ItersRangePoint
7
4.7622450768330516e-43
1.2031379982332956e-40
3.2326137485667516e-41
10
-6.172721291074858e-201
-1.420960682609527e-212
-8.349810058626823e-203
Compiler

Compiled 1 to 4 computations (-300% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03943
13943

end0.0ms (0%)

sample1.1s (34.9%)

Algorithm
intervals
Results
233.0ms8000×body80valid
20.0ms620×body80invalid
Compiler

Compiled 133 to 106 computations (20.3% saved)

Profiling

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