Details

Time bar (total: 3.2s)

analyze126.0ms (3.9%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
1810
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2
Compiler

Compiled 8 to 6 computations (25% saved)

sample13.0ms (0.4%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify7.0ms (0.2%)

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
Error
13.6b
Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) 1)
13.6b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite50.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Error
13.6b
Rules
10×add-cube-cbrt_binary64_1477 add-sqr-sqrt_binary64_1464 *-un-lft-identity_binary64_1442
9×times-frac_binary64_1448
4×add-exp-log_binary64_1480 add-log-exp_binary64_1481 add-cbrt-cube_binary64_1478
3×associate-/l*_binary64_1387 associate-/r*_binary64_1386
2×pow1_binary64_1503 flip3-+_binary64_1445 associate-/r/_binary64_1388 flip-+_binary64_1416
1×div-exp_binary64_1493 cbrt-undiv_binary64_1476 frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 sum-log_binary64_1533 +-commutative_binary64_1372
Counts
2 → 40
Calls

2 calls:

6.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))
4.0ms
(+.f64 (*.f64 x x) 1)
Compiler

Compiled 627 to 323 computations (48.5% saved)

series119.0ms (3.7%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

76.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))
29.0ms
(+.f64 (*.f64 x x) 1)
Compiler

Compiled 337 to 271 computations (19.6% saved)

simplify89.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
05702821

prune61.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New55358
Fresh000
Picked011
Done000
Total55459
Error
0b
Counts
59 → 4
Compiler

Compiled 732 to 417 computations (43% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 x (pow.f64 x 3))

rewrite32.0ms (1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
12×cancel-sign-sub-inv_binary64_1408
11×add-sqr-sqrt_binary64_1464
7×*-un-lft-identity_binary64_1442
4×add-cube-cbrt_binary64_1477 unpow-prod-down_binary64_1521 difference-of-squares_binary64_1411 cube-prod_binary64_1470
3×add-log-exp_binary64_1481
2×sqr-pow_binary64_1414 unpow3_binary64_1508
1×diff-log_binary64_1534 pow1_binary64_1503 add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 flip3--_binary64_1446 sub-neg_binary64_1435 flip--_binary64_1417 cube-mult_binary64_1472 distribute-rgt-out--_binary64_1396 distribute-lft-out--_binary64_1394
Counts
1 → 29
Calls

1 calls:

10.0ms
(-.f64 x (pow.f64 x 3))
Compiler

Compiled 354 to 229 computations (35.3% saved)

series76.0ms (2.4%)

Error
0b
Counts
1 → 6
Calls

1 calls:

71.0ms
(-.f64 x (pow.f64 x 3))
Compiler

Compiled 67 to 53 computations (20.9% saved)

simplify90.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04947333
14947333

prune21.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh022
Picked011
Done011
Total35439
Error
0b
Counts
39 → 4
Compiler

Compiled 299 to 193 computations (35.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
0.2b
(/.f64 1 (pow.f64 x 3))

rewrite266.0ms (8.3%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
128×times-frac_binary64_1448
122×add-sqr-sqrt_binary64_1464
90×*-un-lft-identity_binary64_1442
53×add-cube-cbrt_binary64_1477
40×cancel-sign-sub-inv_binary64_1408
27×unpow-prod-down_binary64_1521 cube-prod_binary64_1470 difference-of-squares_binary64_1411
13×sqr-pow_binary64_1414
12×unpow3_binary64_1508 associate-/r*_binary64_1386
11×add-exp-log_binary64_1480
7×cube-mult_binary64_1472 div-inv_binary64_1439 distribute-lft-out--_binary64_1394
6×div-exp_binary64_1493
5×distribute-rgt-out--_binary64_1396
4×add-log-exp_binary64_1481 add-cbrt-cube_binary64_1478
3×pow-to-exp_binary64_1511 1-exp_binary64_1486 pow-exp_binary64_1510 rec-exp_binary64_1492 associate-/l*_binary64_1387
2×pow1_binary64_1503
1×inv-pow_binary64_1527 pow-flip_binary64_1516 cbrt-undiv_binary64_1476 frac-2neg_binary64_1453 clear-num_binary64_1441 diff-log_binary64_1534 frac-sub_binary64_1451 flip3--_binary64_1446 sub-neg_binary64_1435 flip--_binary64_1417
Counts
2 → 164
Calls

2 calls:

39.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
8.0ms
(/.f64 1 (pow.f64 x 3))
Compiler

Compiled 3048 to 2368 computations (22.3% saved)

series109.0ms (3.4%)

Error
0b
Counts
2 → 9
Calls

2 calls:

63.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
36.0ms
(/.f64 1 (pow.f64 x 3))
Compiler

Compiled 184 to 158 computations (14.1% saved)

simplify141.0ms (4.4%)

Algorithm
1×egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
049872404
149872404

prune175.0ms (5.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1730173
Fresh011
Picked011
Done022
Total1734177
Error
0b
Counts
177 → 4
Compiler

Compiled 2347 to 1701 computations (27.5% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1 (*.f64 x x))
0.1b
(pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3)
13.6b
(/.f64 x (+.f64 1 (*.f64 x x)))
38.1b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3))

rewrite197.0ms (6.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
45×times-frac_binary64_1448
42×add-cube-cbrt_binary64_1477 add-sqr-sqrt_binary64_1464 *-un-lft-identity_binary64_1442
36×cbrt-prod_binary64_1473
30×unpow-prod-down_binary64_1521 cube-prod_binary64_1470
10×associate-/r/_binary64_1388
9×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
6×add-log-exp_binary64_1481 flip3-+_binary64_1445 flip-+_binary64_1416
5×pow1_binary64_1503 div-inv_binary64_1439
3×associate-/l*_binary64_1387 associate-/r*_binary64_1386 pow-unpow_binary64_1519
2×cube-div_binary64_1471 unpow3_binary64_1508 cube-mult_binary64_1472 sqr-pow_binary64_1414 div-exp_binary64_1493 cbrt-undiv_binary64_1476 pow-exp_binary64_1510 rem-cube-cbrt_binary64_1465
1×pow1/3_binary64_1524 cbrt-div_binary64_1474 rem-cbrt-cube_binary64_1466 frac-2neg_binary64_1453 clear-num_binary64_1441 pow-pow_binary64_1514 pow-to-exp_binary64_1511 sum-log_binary64_1533 +-commutative_binary64_1372
Counts
4 → 136
Calls

4 calls:

8.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3))
6.0ms
(pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3)
4.0ms
(/.f64 x (+.f64 1 (*.f64 x x)))
3.0ms
(+.f64 1 (*.f64 x x))
Compiler

Compiled 2894 to 1763 computations (39.1% saved)

series336.0ms (10.5%)

Error
0b
Counts
4 → 42
Calls

4 calls:

101.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3))
87.0ms
(pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3)
74.0ms
(/.f64 x (+.f64 1 (*.f64 x x)))
39.0ms
(+.f64 1 (*.f64 x x))
Compiler

Compiled 1118 to 956 computations (14.5% saved)

simplify94.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051743126

prune171.0ms (5.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1780178
Fresh000
Picked011
Done033
Total1784182
Error
0b
Counts
182 → 4
Compiler

Compiled 2726 to 1731 computations (36.5% saved)

regimes137.0ms (4.3%)

Accuracy

Total 0.0b remaining (98.1%)

Threshold costs 0.0b (98.1%)

Compiler

Compiled 580 to 396 computations (31.7% saved)

bsearch36.0ms (1.1%)

Steps
ItersRangePoint
7
3300.8171630890365
98334.15580277613
8059.235026241259
10
-2.6174055497552223e+163
-1.8577649206569656e+151
-1.3314234767781347e+154
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03550
13550

end0.0ms (0%)

sample836.0ms (26%)

Algorithm
1×intervals
Results
213.0ms8000×body128valid
Compiler

Compiled 286 to 201 computations (29.7% saved)

Profiling

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