Details

Time bar (total: 4.6s)

analyze497.0ms (10.7%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0493796
1493796
033
133
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)

sample36.0ms (0.8%)

Algorithm
1×intervals
Results
8.0ms287×pre128true
8.0ms89×body256valid
8.0ms167×body128valid
1.0ms31×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify287.0ms (6.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (279.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 43.5b

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))
0.3b
(*.f64 (*.f64 3 a) c)
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
37.3b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite35.0ms (0.8%)

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:

11.0ms
(/.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))

series228.0ms (4.9%)

Counts
4 → 12
Calls

4 calls:

113.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
64.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
36.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
15.0ms
(*.f64 (*.f64 3 a) c)

simplify67.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051801823

prune136.0ms (2.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390

Merged error: 5.2b

Counts
90 → 13
Compiler

Compiled 2350 to 1430 computations (39.1% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune21.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313

Merged error: 5.2b

Counts
13 → 13
Compiler

Compiled 369 to 264 computations (28.5% saved)

localize8.0ms (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)

series68.0ms (1.5%)

Counts
3 → 9
Calls

3 calls:

28.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
20.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
20.0ms
(/.f64 (*.f64 a c) b)

simplify58.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04962874
14962874

prune95.0ms (2%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New761187
Fresh01111
Picked101
Done011
Total7723100

Merged error: 5.2b

Counts
100 → 23
Compiler

Compiled 1593 to 935 computations (41.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(*.f64 -3/2 (*.f64 a c))
0.3b
(*.f64 (*.f64 -3/2 (*.f64 a c)) (/.f64 1 b))
0.4b
(/.f64 (*.f64 (*.f64 -3/2 (*.f64 a c)) (/.f64 1 b)) (*.f64 3 a))

rewrite42.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
166×add-exp-log_binary64_1480
94×add-cbrt-cube_binary64_1478
88×prod-exp_binary64_1491
46×cbrt-unprod_binary64_1475
44×div-exp_binary64_1493
23×cbrt-undiv_binary64_1476
17×pow1_binary64_1503
14×associate-*r*_binary64_1382
11×add-sqr-sqrt_binary64_1464 add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
10×times-frac_binary64_1448
9×1-exp_binary64_1486 pow-prod-down_binary64_1513 rec-exp_binary64_1492
4×associate-*l*_binary64_1383
3×add-log-exp_binary64_1481
2×associate-*r/_binary64_1384 associate-/l/_binary64_1389 div-inv_binary64_1439 *-commutative_binary64_1373 un-div-inv_binary64_1440
1×associate-/r*_binary64_1386 clear-num_binary64_1441 associate-/l*_binary64_1387 frac-2neg_binary64_1453
Counts
3 → 118
Calls

3 calls:

13.0ms
(*.f64 (*.f64 -3/2 (*.f64 a c)) (/.f64 1 b))
12.0ms
(/.f64 (*.f64 (*.f64 -3/2 (*.f64 a c)) (/.f64 1 b)) (*.f64 3 a))
5.0ms
(*.f64 -3/2 (*.f64 a c))

series58.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

23.0ms
(*.f64 (*.f64 -3/2 (*.f64 a c)) (/.f64 1 b))
20.0ms
(/.f64 (*.f64 (*.f64 -3/2 (*.f64 a c)) (/.f64 1 b)) (*.f64 3 a))
15.0ms
(*.f64 -3/2 (*.f64 a c))

simplify68.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049731565
149731565

prune99.0ms (2.1%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1198127
Fresh31821
Picked101
Done011
Total12327150

Merged error: 5.1b

Counts
150 → 27
Compiler

Compiled 1702 to 1034 computations (39.2% saved)

regimes574.0ms (12.4%)

Compiler

Compiled 6301 to 4851 computations (23% saved)

bsearch4.0ms (0.1%)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08781
18781

end0.0ms (0%)

sample2.2s (47.4%)

Algorithm
1×intervals
Results
281.0ms2990×body256valid
270.0ms8899×pre128true
246.0ms5010×body128valid
43.0ms899×body128nan
Compiler

Compiled 1335 to 1020 computations (23.6% saved)

Profiling

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