Details

Time bar (total: 2.3s)

analyze3.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%74.6%25.4%0
0%74.6%25.4%1
37.3%37.3%25.4%2
37.3%18.7%44%3
46.7%9.3%44%4
46.7%4.7%48.7%5
49%2.3%48.7%6
49%1.2%49.8%7
49.6%0.6%49.8%8
49.9%0.3%49.8%9
49.9%0.1%50%10
49.9%0.1%50.1%11
49.9%0%50.1%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample33.0ms (1.5%)

Algorithm
1×intervals
Results
14.0ms103×body1024valid
6.0ms80×body512valid
3.0ms257×pre128true
2.0ms16×body2048valid
2.0ms33×body256valid
1.0ms24×body128valid
0.0ms1×body128invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify164.0ms (7.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
096
196

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.0b

Counts
2 → 1
Compiler

Compiled 8 to 8 computations (0% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

7.3b
(-.f64 (exp.f64 x) 1)

rewrite5.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
5×add-sqr-sqrt_binary64_1446
4×*-un-lft-identity_binary64_1425
3×add-log-exp_binary64_1461
2×difference-of-squares_binary64_1394
1×flip--_binary64_1400 diff-log_binary64_1514 add-cube-cbrt_binary64_1457 distribute-lft-out--_binary64_1379 sub-neg_binary64_1418 difference-of-sqr-1_binary64_1395 add-cbrt-cube_binary64_1458 pow1_binary64_1483 flip3--_binary64_1429 add-exp-log_binary64_1460
Counts
1 → 15
Calls

1 calls:

5.0ms
(-.f64 (exp.f64 x) 1)

series18.0ms (0.8%)

Counts
1 → 3
Calls

1 calls:

18.0ms
(-.f64 (exp.f64 x) 1)

simplify96.0ms (4.2%)

Algorithm
1×egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
04892196
14892196

prune22.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.0b

Counts
19 → 3
Compiler

Compiled 171 to 109 computations (36.3% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
0.0b
(*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.0b
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
0.4b
(*.f64 x 1/6)

rewrite27.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_1446 add-cbrt-cube_binary64_1458 pow1_binary64_1483 add-exp-log_binary64_1460
9×distribute-lft-in_binary64_1376 add-cube-cbrt_binary64_1457 associate-*l*_binary64_1368 distribute-rgt-in_binary64_1377 *-un-lft-identity_binary64_1425
7×associate-*r*_binary64_1367
6×associate-*r/_binary64_1369 add-log-exp_binary64_1461
5×prod-exp_binary64_1471 cbrt-unprod_binary64_1455 pow-prod-down_binary64_1493
4×associate-+r+_binary64_1359
3×flip3-+_binary64_1428 flip-+_binary64_1399 *-commutative_binary64_1358
2×unswap-sqr_binary64_1393
1×sum-log_binary64_1513 +-commutative_binary64_1357
Counts
4 → 79
Calls

4 calls:

7.0ms
(*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6))))
6.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
4.0ms
(+.f64 x (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
4.0ms
(*.f64 x 1/6)

series224.0ms (9.8%)

Counts
4 → 12
Calls

4 calls:

87.0ms
(*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6))))
78.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
29.0ms
(+.f64 x (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
28.0ms
(*.f64 x 1/6)

simplify47.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
052881176

prune75.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done011
Total91394

Merged error: 0.0b

Counts
94 → 3
Compiler

Compiled 1427 to 970 computations (32% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(exp.f64 (-.f64 (exp.f64 x) 1))
7.3b
(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
7.3b
(-.f64 (exp.f64 x) 1)

rewrite20.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_1446
15×*-un-lft-identity_binary64_1425
14×exp-prod_binary64_1474
8×log-pow_binary64_1511 add-log-exp_binary64_1461
6×add-cube-cbrt_binary64_1457 difference-of-squares_binary64_1394
4×log-prod_binary64_1508 pow1_binary64_1483
3×distribute-lft-out--_binary64_1379 sub-neg_binary64_1418 difference-of-sqr-1_binary64_1395 add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
2×diff-log_binary64_1514 exp-diff_binary64_1470 exp-sum_binary64_1468 rem-exp-log_binary64_1462
1×flip--_binary64_1400 log-div_binary64_1509 rem-log-exp_binary64_1463 flip3--_binary64_1429
Counts
3 → 54
Calls

3 calls:

6.0ms
(exp.f64 (-.f64 (exp.f64 x) 1))
6.0ms
(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.0ms
(-.f64 (exp.f64 x) 1)

series205.0ms (9%)

Counts
3 → 9
Calls

3 calls:

141.0ms
(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
47.0ms
(exp.f64 (-.f64 (exp.f64 x) 1))
16.0ms
(-.f64 (exp.f64 x) 1)

simplify86.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04938595
14938595

prune39.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh000
Picked011
Done022
Total63366

Merged error: 0.0b

Counts
66 → 3
Compiler

Compiled 607 to 399 computations (34.3% saved)

regimes34.0ms (1.5%)

Compiler

Compiled 109 to 100 computations (8.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01416
11416

end0.0ms (0%)

sample1.2s (50.8%)

Algorithm
1×intervals
Results
559.0ms4015×body1024valid
147.0ms1980×body512valid
100.0ms8002×pre128true
64.0ms386×body2048valid
52.0ms1046×body256valid
14.0ms573×body128valid
0.0ms2×body128invalid
Compiler

Compiled 52 to 43 computations (17.3% saved)

Profiling

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