Details

Time bar (total: 3.0s)

analyze37.0ms (1.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
62.4%37.5%0.1%5
62.4%31.2%6.3%6
68.7%21.9%9.5%7
68.7%17.2%14.1%8
71.8%11.7%16.5%9
71.8%9%19.2%10
73.4%6%20.6%11
73.4%4.6%22%12
74.1%3.1%22.8%13
74.1%2.3%23.5%14
Compiler

Compiled 7 to 7 computations (0% saved)

sample39.0ms (1.3%)

Algorithm
intervals
Results
16.0ms48×body2048valid
7.0ms109×body128valid
6.0ms43×body1024valid
3.0ms34×body512valid
2.0ms22×body256valid
0.0msbody128invalid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify151.0ms (5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
048759
148759

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.6b

Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.3b
(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite6.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1464
*-un-lft-identity_binary64_1442
cancel-sign-sub-inv_binary64_1408 add-log-exp_binary64_1481
difference-of-squares_binary64_1411 add-cube-cbrt_binary64_1477
add-cbrt-cube_binary64_1478 sub-neg_binary64_1435 flip3--_binary64_1446 difference-of-sqr-1_binary64_1412 add-exp-log_binary64_1480 flip--_binary64_1417 diff-log_binary64_1534 pow1_binary64_1503 distribute-lft-out--_binary64_1394
Counts
1 → 18
Calls

1 calls:

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

series26.0ms (0.9%)

Counts
1 → 3
Calls

1 calls:

26.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)

simplify68.0ms (2.3%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04929280
14929280

prune22.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New19221
Fresh000
Picked101
Done000
Total20222

Merged error: 3.9b

Counts
22 → 2
Compiler

Compiled 266 to 133 computations (50% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

3.3b
(+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
difference-of-sqr--1_binary64_1413
add-log-exp_binary64_1481 add-sqr-sqrt_binary64_1464 *-un-lft-identity_binary64_1442
add-cbrt-cube_binary64_1478 sum-log_binary64_1533 unpow2_binary64_1507 +-commutative_binary64_1372 add-exp-log_binary64_1480 distribute-lft-out_binary64_1393 sqr-pow_binary64_1414 flip3-+_binary64_1445 flip-+_binary64_1416 pow1_binary64_1503 add-cube-cbrt_binary64_1477 unpow-prod-down_binary64_1521
Counts
1 → 16
Calls

1 calls:

6.0ms
(+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)

series42.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

42.0ms
(+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)

simplify71.0ms (2.4%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04959331
14959331

prune23.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New16319
Fresh011
Picked101
Done000
Total17421

Merged error: 3.9b

Counts
21 → 4
Compiler

Compiled 482 to 264 computations (45.2% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

3.3b
(+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)
3.3b
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)))

rewrite16.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
log-pow_binary64_1531
difference-of-sqr--1_binary64_1413 exp-prod_binary64_1494 add-sqr-sqrt_binary64_1464 *-un-lft-identity_binary64_1442
log-prod_binary64_1528 add-log-exp_binary64_1481 add-cube-cbrt_binary64_1477
pow1_binary64_1503
add-cbrt-cube_binary64_1478 unpow2_binary64_1507 add-exp-log_binary64_1480 distribute-lft-out_binary64_1393 sqr-pow_binary64_1414 unpow-prod-down_binary64_1521
sum-log_binary64_1533 rem-log-exp_binary64_1483 +-commutative_binary64_1372 flip3-+_binary64_1445 flip-+_binary64_1416 exp-sum_binary64_1488
Counts
2 → 37
Calls

2 calls:

7.0ms
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)))
6.0ms
(+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)

series156.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

118.0ms
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)))
38.0ms
(+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)

simplify94.0ms (3.1%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
04893697
14893697

prune46.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New43043
Fresh033
Picked011
Done000
Total43447

Merged error: 3.9b

Counts
47 → 4
Compiler

Compiled 1027 to 568 computations (44.7% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.4b
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/2 (*.f64 a a)) (*.f64 x (*.f64 1/6 (pow.f64 a 3)))))))
4.4b
(*.f64 x (*.f64 1/6 (pow.f64 a 3)))
6.4b
(*.f64 x (+.f64 (*.f64 1/2 (*.f64 a a)) (*.f64 x (*.f64 1/6 (pow.f64 a 3)))))
11.5b
(+.f64 (*.f64 1/2 (*.f64 a a)) (*.f64 x (*.f64 1/6 (pow.f64 a 3))))

rewrite34.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
18×add-exp-log_binary64_1480
13×add-cbrt-cube_binary64_1478 add-sqr-sqrt_binary64_1464
10×pow1_binary64_1503
associate-*l*_binary64_1383 prod-exp_binary64_1491 add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
associate-*r*_binary64_1382
add-log-exp_binary64_1481
cbrt-unprod_binary64_1475
associate-*r/_binary64_1384
pow-prod-down_binary64_1513 *-commutative_binary64_1373 flip3-+_binary64_1445 flip-+_binary64_1416
distribute-lft-in_binary64_1391 distribute-rgt-in_binary64_1392 unswap-sqr_binary64_1410
sum-log_binary64_1533 pow-exp_binary64_1510 +-commutative_binary64_1372 pow-to-exp_binary64_1511
Counts
4 → 74
Calls

4 calls:

10.0ms
(*.f64 x (+.f64 (*.f64 1/2 (*.f64 a a)) (*.f64 x (*.f64 1/6 (pow.f64 a 3)))))
7.0ms
(+.f64 (*.f64 1/2 (*.f64 a a)) (*.f64 x (*.f64 1/6 (pow.f64 a 3))))
6.0ms
(*.f64 x (*.f64 1/6 (pow.f64 a 3)))
5.0ms
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/2 (*.f64 a a)) (*.f64 x (*.f64 1/6 (pow.f64 a 3)))))))

series268.0ms (8.9%)

Counts
4 → 12
Calls

4 calls:

91.0ms
(*.f64 x (+.f64 (*.f64 1/2 (*.f64 a a)) (*.f64 x (*.f64 1/6 (pow.f64 a 3)))))
88.0ms
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 1/2 (*.f64 a a)) (*.f64 x (*.f64 1/6 (pow.f64 a 3)))))))
48.0ms
(+.f64 (*.f64 1/2 (*.f64 a a)) (*.f64 x (*.f64 1/6 (pow.f64 a 3))))
41.0ms
(*.f64 x (*.f64 1/6 (pow.f64 a 3)))

simplify43.0ms (1.4%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
054421832

prune89.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New84286
Fresh112
Picked101
Done011
Total86490

Merged error: 0.1b

Counts
90 → 4
Compiler

Compiled 2169 to 1273 computations (41.3% saved)

regimes386.0ms (12.8%)

Compiler

Compiled 1841 to 1368 computations (25.7% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03964
13964

end0.0ms (0%)

sample1.4s (45%)

Algorithm
intervals
Results
415.0ms1465×body2048valid
234.0ms1660×body1024valid
90.0ms1153×body512valid
80.0ms3085×body128valid
32.0ms637×body256valid
4.0ms151×body128invalid
Compiler

Compiled 373 to 268 computations (28.2% saved)

Profiling

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