Details

Time bar (total: 7.1s)

analyze505.0ms (7.1%)

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)

sample83.0ms (1.2%)

Algorithm
1×intervals
Results
22.0ms124×body256valid
16.0ms282×pre128true
13.0ms49×body512valid
8.0ms83×body128valid
6.0ms26×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify770.0ms (10.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (485.0ms)

IterNodesCost
0170724
1170724

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 52.0b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize23.0ms (0.3%)

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))
0.3b
(*.f64 (*.f64 3 a) c)
26.5b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite72.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64_1446
14×add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
13×*-un-lft-identity_binary64_1425
9×pow1_binary64_1483
8×add-log-exp_binary64_1461
7×add-cube-cbrt_binary64_1457
6×times-frac_binary64_1431 difference-of-squares_binary64_1394 associate-/l*_binary64_1372
4×prod-exp_binary64_1471 cbrt-unprod_binary64_1455
3×flip--_binary64_1400 distribute-lft-out--_binary64_1379 associate-*r*_binary64_1367 sqrt-prod_binary64_1440 flip3--_binary64_1429 pow-prod-down_binary64_1493
2×diff-log_binary64_1514 sub-neg_binary64_1418 div-exp_binary64_1473 associate-/l/_binary64_1374 cbrt-undiv_binary64_1456
1×frac-2neg_binary64_1436 associate-/r*_binary64_1371 associate-*l*_binary64_1368 clear-num_binary64_1424 div-sub_binary64_1430 div-inv_binary64_1422 *-commutative_binary64_1358
Counts
4 → 73
Calls

4 calls:

24.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
16.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
11.0ms
(*.f64 (*.f64 3 a) c)
8.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series845.0ms (12%)

Counts
4 → 12
Calls

4 calls:

423.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
230.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
132.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
59.0ms
(*.f64 (*.f64 3 a) c)

simplify96.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049251807
149251807

prune237.0ms (3.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New741185
Fresh000
Picked101
Done000
Total751186

Merged error: 3.0b

Counts
86 → 11
Compiler

Compiled 2217 to 1345 computations (39.3% saved)

localize10.0ms (0.1%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune27.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01010
Picked011
Done000
Total01111

Merged error: 3.0b

Counts
11 → 11
Compiler

Compiled 303 to 214 computations (29.4% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(/.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))

rewrite54.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
49×add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
17×prod-exp_binary64_1471 cbrt-unprod_binary64_1455
16×div-exp_binary64_1473 cbrt-undiv_binary64_1456
10×add-sqr-sqrt_binary64_1446
8×add-cube-cbrt_binary64_1457 *-un-lft-identity_binary64_1425
7×times-frac_binary64_1431 associate-*r*_binary64_1367
5×pow1_binary64_1483
4×associate-/r*_binary64_1371
3×associate-*l*_binary64_1368 div-inv_binary64_1422 add-log-exp_binary64_1461
2×frac-2neg_binary64_1436 clear-num_binary64_1424 associate-*r/_binary64_1369 associate-/l*_binary64_1372
1×unswap-sqr_binary64_1393 associate-/l/_binary64_1374 *-commutative_binary64_1358 pow-prod-down_binary64_1493
Counts
3 → 78
Calls

3 calls:

18.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
14.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
9.0ms
(/.f64 (*.f64 a c) b)

series216.0ms (3.1%)

Counts
3 → 9
Calls

3 calls:

84.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
66.0ms
(/.f64 (*.f64 a c) b)
66.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify113.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
05045877

prune165.0ms (2.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New80787
Fresh099
Picked101
Done011
Total811798

Merged error: 3.0b

Counts
98 → 17
Compiler

Compiled 1470 to 837 computations (43.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 -3/2 (*.f64 b (/.f64 3 c)))
0.2b
(*.f64 b (/.f64 3 c))

rewrite32.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_1446
16×add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
13×times-frac_binary64_1431 associate-*r*_binary64_1367
12×add-cube-cbrt_binary64_1457 *-un-lft-identity_binary64_1425
5×div-exp_binary64_1473 cbrt-undiv_binary64_1456
4×prod-exp_binary64_1471 cbrt-unprod_binary64_1455 pow1_binary64_1483
3×associate-*l*_binary64_1368 associate-/l*_binary64_1372
2×unswap-sqr_binary64_1393 associate-*r/_binary64_1369 div-inv_binary64_1422 add-log-exp_binary64_1461
1×frac-2neg_binary64_1436 associate-/r*_binary64_1371 clear-num_binary64_1424 associate-/r/_binary64_1373 *-commutative_binary64_1358 pow-prod-down_binary64_1493
Counts
2 → 56
Calls

2 calls:

14.0ms
(*.f64 b (/.f64 3 c))
11.0ms
(/.f64 -3/2 (*.f64 b (/.f64 3 c)))

series96.0ms (1.4%)

Counts
2 → 6
Calls

2 calls:

50.0ms
(/.f64 -3/2 (*.f64 b (/.f64 3 c)))
46.0ms
(*.f64 b (/.f64 3 c))

simplify173.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (151.0ms)

IterNodesCost
05058605

prune85.0ms (1.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh41115
Picked101
Done011
Total611879

Merged error: 3.0b

Counts
79 → 18
Compiler

Compiled 641 to 447 computations (30.3% saved)

regimes295.0ms (4.2%)

Compiler

Compiled 1692 to 1320 computations (22% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample3.1s (44.1%)

Algorithm
1×intervals
Results
720.0ms3854×body256valid
504.0ms8835×pre128true
429.0ms1538×body512valid
245.0ms2608×body128valid
74.0ms835×body128nan
Compiler

Compiled 455 to 356 computations (21.8% saved)

Profiling

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