Details

Time bar (total: 2.3s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample13.0ms (0.6%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 23 to 20 computations (13% saved)

simplify174.0ms (7.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01416
11416

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b
(/.f64 x (+.f64 x 1))

rewrite63.0ms (2.8%)

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity_binary64_1455
41×times-frac_binary64_1461
40×add-sqr-sqrt_binary64_1477
24×add-cube-cbrt_binary64_1490
12×distribute-lft-out_binary64_1406
11×associate-/r*_binary64_1399
add-exp-log_binary64_1493
difference-of-squares_binary64_1424
add-cbrt-cube_binary64_1491
distribute-lft-out--_binary64_1407 associate-/l*_binary64_1400
add-log-exp_binary64_1494
associate-/r/_binary64_1401 pow1_binary64_1516 difference-of-sqr-1_binary64_1425
div-exp_binary64_1506 div-inv_binary64_1452
flip-+_binary64_1429 clear-num_binary64_1454 cbrt-undiv_binary64_1489 frac-2neg_binary64_1466 flip3-+_binary64_1458
inv-pow_binary64_1540 1-exp_binary64_1499 pow-flip_binary64_1529 flip--_binary64_1430 sum-log_binary64_1546 rec-exp_binary64_1505 +-commutative_binary64_1385 frac-add_binary64_1463 flip3--_binary64_1459
Counts
3 → 100
Calls

3 calls:

36.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
10.0ms
(/.f64 1 (-.f64 x 1))
7.0ms
(/.f64 x (+.f64 x 1))

series104.0ms (4.6%)

Counts
3 → 9
Calls

3 calls:

60.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
26.0ms
(/.f64 x (+.f64 x 1))
18.0ms
(/.f64 1 (-.f64 x 1))

simplify95.0ms (4.2%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049131579
149131579

prune120.0ms (5.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1072109
Fresh000
Picked101
Done000
Total1082110

Merged error: 0b

Counts
110 → 2
Compiler

Compiled 2167 to 1595 computations (26.4% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
0.0b
(/.f64 x (+.f64 x 1))

rewrite58.0ms (2.6%)

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity_binary64_1455
41×times-frac_binary64_1461
40×add-sqr-sqrt_binary64_1477
24×add-cube-cbrt_binary64_1490
12×distribute-lft-out_binary64_1406
11×associate-/r*_binary64_1399
add-exp-log_binary64_1493
difference-of-squares_binary64_1424
add-cbrt-cube_binary64_1491
distribute-lft-out--_binary64_1407 associate-/l*_binary64_1400
add-log-exp_binary64_1494
associate-/r/_binary64_1401 pow1_binary64_1516 difference-of-sqr-1_binary64_1425
div-exp_binary64_1506 div-inv_binary64_1452
flip-+_binary64_1429 clear-num_binary64_1454 cbrt-undiv_binary64_1489 frac-2neg_binary64_1466 flip3-+_binary64_1458
inv-pow_binary64_1540 1-exp_binary64_1499 pow-flip_binary64_1529 flip--_binary64_1430 sum-log_binary64_1546 rec-exp_binary64_1505 +-commutative_binary64_1385 frac-add_binary64_1463 flip3--_binary64_1459
Counts
3 → 100
Calls

3 calls:

34.0ms
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
7.0ms
(/.f64 1 (-.f64 x 1))
6.0ms
(/.f64 x (+.f64 x 1))

series107.0ms (4.8%)

Counts
3 → 9
Calls

3 calls:

65.0ms
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
25.0ms
(/.f64 x (+.f64 x 1))
17.0ms
(/.f64 1 (-.f64 x 1))

simplify93.0ms (4.1%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049171579
149171579

prune117.0ms (5.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1090109
Fresh011
Picked011
Done000
Total1092111

Merged error: 0b

Counts
111 → 2
Compiler

Compiled 2100 to 1594 computations (24.1% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite21.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_1486
23×add-sqr-sqrt_binary64_1477
15×add-cube-cbrt_binary64_1490 *-un-lft-identity_binary64_1455
11×pow1_binary64_1516
pow1/3_binary64_1537
associate-*r*_binary64_1395 swap-sqr_binary64_1422 associate-*l*_binary64_1396 add-exp-log_binary64_1493
add-log-exp_binary64_1494 add-cbrt-cube_binary64_1491 unswap-sqr_binary64_1423
pow-prod-up_binary64_1525 pow-prod-down_binary64_1526 pow-sqr_binary64_1428
prod-exp_binary64_1504 pow-plus_binary64_1518 *-commutative_binary64_1386 pow2_binary64_1536 cbrt-unprod_binary64_1488
Counts
4 → 73
Calls

4 calls:

8.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series632.0ms (28%)

Counts
4 → 12
Calls

4 calls:

174.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
161.0ms
(cbrt.f64 x)
153.0ms
(cbrt.f64 x)
145.0ms
(cbrt.f64 x)

simplify55.0ms (2.4%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05245563

prune127.0ms (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done011
Total85287

Merged error: 0b

Counts
87 → 2
Compiler

Compiled 2689 to 1760 computations (34.5% saved)

regimes11.0ms (0.5%)

Compiler

Compiled 44 to 34 computations (22.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02220
12220

end0.0ms (0%)

sample426.0ms (18.9%)

Algorithm
intervals
Results
242.0ms8000×body128valid
Compiler

Compiled 67 to 54 computations (19.4% saved)

Profiling

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