Details

Time bar (total: 2.6s)

analyze313.0ms (12.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.2%24.3%13
31.5%44.2%24.3%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample25.0ms (1%)

Algorithm
1×intervals
Results
12.0ms86×body1024valid
3.0ms34×body512valid
2.0ms101×body128valid
1.0ms27×body256valid
1.0ms8×body2048valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify93.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01011
11011

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
40.3b
Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.7b
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.5b
(-.f64 (exp.f64 x) 1)

rewrite17.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64_1464
30×*-un-lft-identity_binary64_1442
21×times-frac_binary64_1448
15×add-cube-cbrt_binary64_1477
10×difference-of-squares_binary64_1411
7×associate-/r*_binary64_1386
5×difference-of-sqr-1_binary64_1412 distribute-lft-out--_binary64_1394
4×add-cbrt-cube_binary64_1478 add-log-exp_binary64_1481
3×cancel-sign-sub-inv_binary64_1408 associate-/l*_binary64_1387 add-exp-log_binary64_1480
2×associate-/r/_binary64_1388 flip3--_binary64_1446 flip--_binary64_1417 pow1_binary64_1503
1×cbrt-undiv_binary64_1476 div-inv_binary64_1439 sub-neg_binary64_1435 clear-num_binary64_1441 frac-2neg_binary64_1453 diff-log_binary64_1534 div-exp_binary64_1493
Counts
2 → 63
Calls

2 calls:

8.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms
(-.f64 (exp.f64 x) 1)

series66.0ms (2.5%)

Counts
2 → 12
Calls

2 calls:

42.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
23.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 164 to 143 computations (12.8% saved)

simplify63.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049611213
149611213

prune79.0ms (3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New71475
Fresh000
Picked101
Done000
Total72476
Error
0b
Counts
76 → 4
Compiler

Compiled 1038 to 537 computations (48.3% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (exp.f64 x) (+.f64 x (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 1/24 x)))))))
0.1b
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 1/24 x)))))
0.2b
(*.f64 x (+.f64 1/6 (*.f64 1/24 x)))
0.3b
(*.f64 1/24 x)

rewrite31.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64_1464
17×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
15×add-cbrt-cube_binary64_1478
14×add-exp-log_binary64_1480
13×pow1_binary64_1503
9×associate-*r*_binary64_1382 times-frac_binary64_1448
7×associate-*l*_binary64_1383
5×cbrt-unprod_binary64_1475 pow-prod-down_binary64_1513 prod-exp_binary64_1491
4×associate-*r/_binary64_1384 add-log-exp_binary64_1481
3×associate-/r*_binary64_1386 associate-/l*_binary64_1387 *-commutative_binary64_1373 flip3-+_binary64_1445 flip-+_binary64_1416 unswap-sqr_binary64_1410
2×associate-/r/_binary64_1388 distribute-lft-in_binary64_1391 distribute-rgt-in_binary64_1392
1×cbrt-undiv_binary64_1476 div-inv_binary64_1439 clear-num_binary64_1441 frac-2neg_binary64_1453 div-exp_binary64_1493
Counts
4 → 92
Calls

4 calls:

8.0ms
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 1/24 x)))))
6.0ms
(*.f64 x (+.f64 1/6 (*.f64 1/24 x)))
6.0ms
(/.f64 (exp.f64 x) (+.f64 x (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 1/24 x)))))))
4.0ms
(*.f64 1/24 x)

series136.0ms (5.3%)

Counts
4 → 19
Calls

4 calls:

55.0ms
(*.f64 x (+.f64 1/6 (*.f64 1/24 x)))
34.0ms
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 1/24 x)))))
29.0ms
(/.f64 (exp.f64 x) (+.f64 x (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 1/24 x)))))))
18.0ms
(*.f64 1/24 x)
Compiler

Compiled 490 to 384 computations (21.6% saved)

simplify61.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
048552242
148552242

prune118.0ms (4.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1110111
Fresh033
Picked011
Done000
Total1114115
Error
0b
Counts
115 → 4
Compiler

Compiled 2739 to 1656 computations (39.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
0.3b
(*.f64 x 1/12)

rewrite14.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
7×add-log-exp_binary64_1481
6×add-sqr-sqrt_binary64_1464
4×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480 pow1_binary64_1503 add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
3×associate-*r*_binary64_1382 sum-log_binary64_1533 associate-*l*_binary64_1383
1×cbrt-unprod_binary64_1475 associate-+l+_binary64_1375 +-commutative_binary64_1372 pow-prod-down_binary64_1513 *-commutative_binary64_1373 flip3-+_binary64_1445 flip-+_binary64_1416 prod-exp_binary64_1491 unswap-sqr_binary64_1410
Counts
2 → 31
Calls

2 calls:

9.0ms
(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
4.0ms
(*.f64 x 1/12)

series59.0ms (2.3%)

Counts
2 → 12
Calls

2 calls:

44.0ms
(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
15.0ms
(*.f64 x 1/12)
Compiler

Compiled 132 to 120 computations (9.1% saved)

simplify65.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04926453
14926453

prune32.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh022
Picked011
Done011
Total43447
Error
0b
Counts
47 → 4
Compiler

Compiled 535 to 427 computations (20.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
3.8b
(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite15.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
29×add-sqr-sqrt_binary64_1464 *-un-lft-identity_binary64_1442
18×times-frac_binary64_1448
14×add-cube-cbrt_binary64_1477
10×difference-of-squares_binary64_1411
6×associate-/r*_binary64_1386 add-exp-log_binary64_1480
5×distribute-lft-out--_binary64_1394
4×add-cbrt-cube_binary64_1478 add-log-exp_binary64_1481
3×cancel-sign-sub-inv_binary64_1408 associate-/l*_binary64_1387 pow1_binary64_1503
2×associate-/r/_binary64_1388 flip3--_binary64_1446 flip--_binary64_1417 div-exp_binary64_1493
1×inv-pow_binary64_1527 cbrt-undiv_binary64_1476 div-inv_binary64_1439 sub-neg_binary64_1435 clear-num_binary64_1441 1-exp_binary64_1486 rec-exp_binary64_1492 pow-flip_binary64_1516 frac-2neg_binary64_1453 diff-log_binary64_1534
Counts
2 → 62
Calls

2 calls:

7.0ms
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
5.0ms
(-.f64 1 (exp.f64 (neg.f64 x)))

series70.0ms (2.7%)

Counts
2 → 12
Calls

2 calls:

46.0ms
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
24.0ms
(-.f64 1 (exp.f64 (neg.f64 x)))
Compiler

Compiled 148 to 139 computations (6.1% saved)

simplify60.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049301122
149301122

prune53.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh011
Picked011
Done022
Total74478
Error
0b
Counts
78 → 4
Compiler

Compiled 921 to 599 computations (35% saved)

regimes114.0ms (4.4%)

Accuracy

Total 0.9b remaining (98.6%)

Threshold costs 0.9b (98.6%)

Compiler

Compiled 984 to 702 computations (28.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02027
12027

end0.0ms (0%)

sample1.1s (41.7%)

Algorithm
1×intervals
Results
362.0ms2628×body1024valid
105.0ms1368×body512valid
76.0ms3043×body128valid
46.0ms305×body2048valid
35.0ms656×body256valid
0.0ms1×body128overflowed
Compiler

Compiled 288 to 210 computations (27.1% saved)

Profiling

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