Details

Time bar (total: 4.1s)

analyze257.0ms (6.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14
Compiler

Compiled 30 to 24 computations (20% saved)

sample41.0ms (1%)

Algorithm
1×intervals
Results
12.0ms131×body256valid
8.0ms278×pre128true
6.0ms48×body512valid
4.0ms77×body128valid
1.0ms22×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify369.0ms (9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (273.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
53.7b
Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.2b
(*.f64 (*.f64 3 a) c)
27.8b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite36.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_1464
14×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480 *-un-lft-identity_binary64_1442
9×pow1_binary64_1503
8×add-log-exp_binary64_1481 add-cube-cbrt_binary64_1477
6×times-frac_binary64_1448 associate-/l*_binary64_1387 difference-of-squares_binary64_1411
4×cancel-sign-sub-inv_binary64_1408 cbrt-unprod_binary64_1475 prod-exp_binary64_1491
3×associate-*r*_binary64_1382 flip3--_binary64_1446 pow-prod-down_binary64_1513 flip--_binary64_1417 sqrt-prod_binary64_1458 distribute-lft-out--_binary64_1394
2×cbrt-undiv_binary64_1476 associate-/l/_binary64_1389 sub-neg_binary64_1435 diff-log_binary64_1534 div-exp_binary64_1493
1×associate-/r*_binary64_1386 div-inv_binary64_1439 clear-num_binary64_1441 associate-*l*_binary64_1383 *-commutative_binary64_1373 frac-2neg_binary64_1453 div-sub_binary64_1447
Counts
4 → 77
Calls

4 calls:

12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
5.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series243.0ms (5.9%)

Counts
4 → 12
Calls

4 calls:

117.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
72.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
35.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
19.0ms
(*.f64 (*.f64 3 a) c)

simplify61.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051801823

prune134.0ms (3.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New80989
Fresh000
Picked101
Done000
Total81990
Error
2.4b
Counts
90 → 9
Compiler

Compiled 2259 to 1360 computations (39.8% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune14.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New000
Fresh088
Picked011
Done000
Total099
Error
2.4b
Counts
9 → 9
Compiler

Compiled 278 to 193 computations (30.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.4b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite26.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
49×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
17×cbrt-unprod_binary64_1475 prod-exp_binary64_1491
16×cbrt-undiv_binary64_1476 div-exp_binary64_1493
10×add-sqr-sqrt_binary64_1464
8×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
7×associate-*r*_binary64_1382 times-frac_binary64_1448
5×pow1_binary64_1503
4×associate-/r*_binary64_1386
3×div-inv_binary64_1439 associate-*l*_binary64_1383 add-log-exp_binary64_1481
2×associate-*r/_binary64_1384 clear-num_binary64_1441 associate-/l*_binary64_1387 frac-2neg_binary64_1453
1×associate-/l/_binary64_1389 pow-prod-down_binary64_1513 *-commutative_binary64_1373 unswap-sqr_binary64_1410
Counts
3 → 78
Calls

3 calls:

9.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
4.0ms
(/.f64 (*.f64 a c) b)

series66.0ms (1.6%)

Counts
3 → 9
Calls

3 calls:

24.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
21.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
20.0ms
(/.f64 (*.f64 a c) b)

simplify51.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04962874
14962874

prune89.0ms (2.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New761187
Fresh167
Picked101
Done011
Total781896
Error
2.4b
Counts
96 → 18
Compiler

Compiled 1471 to 841 computations (42.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) -1/2) a)
0.3b
(/.f64 (*.f64 a c) b)

rewrite15.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
21×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
8×cbrt-undiv_binary64_1476 div-exp_binary64_1493
6×associate-/r*_binary64_1386 times-frac_binary64_1448 add-sqr-sqrt_binary64_1464 add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
5×cbrt-unprod_binary64_1475 prod-exp_binary64_1491
2×div-inv_binary64_1439 clear-num_binary64_1441 associate-/l*_binary64_1387 add-log-exp_binary64_1481 frac-2neg_binary64_1453 pow1_binary64_1503
1×associate-/l/_binary64_1389 associate-*l/_binary64_1385
Counts
2 → 47
Calls

2 calls:

7.0ms
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) -1/2) a)
4.0ms
(/.f64 (*.f64 a c) b)

series40.0ms (1%)

Counts
2 → 6
Calls

2 calls:

20.0ms
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) -1/2) a)
20.0ms
(/.f64 (*.f64 a c) b)

simplify61.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05202520

prune33.0ms (0.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New48553
Fresh31316
Picked101
Done011
Total521971
Error
2.4b
Counts
71 → 19
Compiler

Compiled 562 to 252 computations (55.2% saved)

regimes433.0ms (10.5%)

Accuracy

Total 3.3b remaining (55.1%)

Threshold costs 0b (0%)

Compiler

Compiled 5136 to 3846 computations (25.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample2.1s (51.1%)

Algorithm
1×intervals
Results
350.0ms3767×body256valid
280.0ms8858×pre128true
196.0ms1446×body512valid
133.0ms2787×body128valid
38.0ms858×body128nan
Compiler

Compiled 1053 to 791 computations (24.9% saved)

Profiling

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