Details

Time bar (total: 2.1s)

analyze1.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2
Compiler

Compiled 8 to 6 computations (25% saved)

sample11.0ms (0.5%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify159.0ms (7.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0810
1810

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.2b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

15.2b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite9.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
9×add-sqr-sqrt_binary64_1477 add-cube-cbrt_binary64_1490 times-frac_binary64_1461 *-un-lft-identity_binary64_1455
3×associate-/r*_binary64_1399 add-cbrt-cube_binary64_1491 associate-/l*_binary64_1400 add-exp-log_binary64_1493
2×associate-/r/_binary64_1401
1×flip-+_binary64_1429 pow1_binary64_1516 div-exp_binary64_1506 clear-num_binary64_1454 add-log-exp_binary64_1494 cbrt-undiv_binary64_1489 frac-2neg_binary64_1466 flip3-+_binary64_1458 div-inv_binary64_1452
Counts
1 → 29
Calls

1 calls:

7.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

series55.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

54.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

simplify60.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05174550

prune85.0ms (4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New29332
Fresh000
Picked101
Done000
Total30333

Merged error: 0b

Counts
33 → 3
Compiler

Compiled 1377 to 845 computations (38.6% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
0.0b
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
15.2b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
15.2b
(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite71.0ms (3.3%)

Algorithm
1×rewrite-expression-head
Rules
288×times-frac_binary64_1461
164×add-sqr-sqrt_binary64_1477
162×add-cube-cbrt_binary64_1490 *-un-lft-identity_binary64_1455
156×sqrt-prod_binary64_1471
27×associate-/l*_binary64_1400
22×sqrt-div_binary64_1472
18×associate-/r/_binary64_1401
12×associate-/r*_binary64_1399
11×flip-+_binary64_1429 add-cbrt-cube_binary64_1491 flip3-+_binary64_1458 add-exp-log_binary64_1493
9×div-inv_binary64_1452
6×pow1_binary64_1516
4×div-exp_binary64_1506 add-log-exp_binary64_1494 cbrt-undiv_binary64_1489
2×sqrt-pow1_binary64_1473 rem-sqrt-square_binary64_1468 clear-num_binary64_1454 frac-2neg_binary64_1466 pow1/2_binary64_1535
1×associate-/l/_binary64_1402
Counts
4 → 262
Calls

4 calls:

19.0ms
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
8.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
5.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
5.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

series219.0ms (10.3%)

Counts
4 → 12
Calls

4 calls:

77.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
60.0ms
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
42.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
39.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

simplify161.0ms (7.6%)

Algorithm
1×egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
048998543
148998543

prune341.0ms (16%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2740274
Fresh022
Picked011
Done000
Total2743277

Merged error: 0b

Counts
277 → 3
Compiler

Compiled 6881 to 3963 computations (42.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
15.2b
(/.f64 (+.f64 (*.f64 x x) 1) x)

rewrite28.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
84×times-frac_binary64_1461
52×add-sqr-sqrt_binary64_1477 add-cube-cbrt_binary64_1490 *-un-lft-identity_binary64_1455
16×associate-/r*_binary64_1399
15×add-exp-log_binary64_1493
9×add-cbrt-cube_binary64_1491
8×div-exp_binary64_1506
6×associate-/l*_binary64_1400 div-inv_binary64_1452
4×cbrt-undiv_binary64_1489
3×pow1_binary64_1516
2×associate-/l/_binary64_1402 1-exp_binary64_1499 clear-num_binary64_1454 add-log-exp_binary64_1494 frac-2neg_binary64_1466 rec-exp_binary64_1505
1×associate-/r/_binary64_1401 inv-pow_binary64_1540 flip-+_binary64_1429 pow-flip_binary64_1529 flip3-+_binary64_1458
Counts
2 → 105
Calls

2 calls:

9.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
7.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)

series144.0ms (6.8%)

Counts
2 → 6
Calls

2 calls:

95.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)
49.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))

simplify103.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
058722232

prune99.0ms (4.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh101
Picked011
Done011
Total1113114

Merged error: 0b

Counts
114 → 3
Compiler

Compiled 1954 to 1139 computations (41.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b
(/.f64 1 (+.f64 x (/.f64 1 x)))

rewrite13.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
24×*-un-lft-identity_binary64_1455
18×times-frac_binary64_1461
13×add-exp-log_binary64_1493
12×add-sqr-sqrt_binary64_1477 add-cube-cbrt_binary64_1490
8×distribute-lft-out_binary64_1406
6×associate-/r*_binary64_1399
5×div-inv_binary64_1452 rec-exp_binary64_1505
4×2cosh-undef_binary64_1651
3×add-cbrt-cube_binary64_1491 associate-/l*_binary64_1400
2×associate-/r/_binary64_1401 pow1_binary64_1516 div-exp_binary64_1506
1×inv-pow_binary64_1540 flip-+_binary64_1429 1-exp_binary64_1499 clear-num_binary64_1454 add-log-exp_binary64_1494 pow-flip_binary64_1529 cbrt-undiv_binary64_1489 frac-2neg_binary64_1466 flip3-+_binary64_1458
Counts
1 → 45
Calls

1 calls:

9.0ms
(/.f64 1 (+.f64 x (/.f64 1 x)))

series37.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

36.0ms
(/.f64 1 (+.f64 x (/.f64 1 x)))

simplify78.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04885672
14885672

prune37.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done022
Total48351

Merged error: 0b

Counts
51 → 3
Compiler

Compiled 621 to 473 computations (23.8% saved)

regimes10.0ms (0.5%)

Compiler

Compiled 33 to 25 computations (24.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample383.0ms (18%)

Algorithm
1×intervals
Results
189.0ms8000×body128valid
Compiler

Compiled 53 to 42 computations (20.8% saved)

Profiling

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