Details

Time bar (total: 4.5s)

analyze270.0ms (6%)

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)

sample42.0ms (0.9%)

Algorithm
1×intervals
Results
10.0ms102×body256valid
9.0ms294×pre128true
8.0ms154×body128valid
5.0ms38×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify369.0ms (8.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (278.0ms)

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: 43.7b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.3b
(*.f64 (*.f64 3 a) c)
39.2b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite36.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_2487
14×*-un-lft-identity_binary64_2465 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
9×pow1_binary64_2526
8×add-log-exp_binary64_2504 add-cube-cbrt_binary64_2500
6×difference-of-squares_binary64_2434 times-frac_binary64_2471 associate-/l*_binary64_2410
4×cancel-sign-sub-inv_binary64_2431 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
3×sqrt-prod_binary64_2481 flip--_binary64_2440 distribute-lft-out--_binary64_2417 associate-*r*_binary64_2405 pow-prod-down_binary64_2536 flip3--_binary64_2469
2×associate-/l/_binary64_2412 cbrt-undiv_binary64_2499 sub-neg_binary64_2458 div-exp_binary64_2516 diff-log_binary64_2557
1×*-commutative_binary64_2396 associate-/r*_binary64_2409 clear-num_binary64_2464 div-sub_binary64_2470 div-inv_binary64_2462 frac-2neg_binary64_2476 associate-*l*_binary64_2406
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))

series220.0ms (4.9%)

Counts
4 → 12
Calls

4 calls:

108.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
63.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
33.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
15.0ms
(*.f64 (*.f64 3 a) c)

simplify65.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051801823

prune131.0ms (2.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 5.4b

Counts
90 → 12
Compiler

Compiled 2351 to 1424 computations (39.4% 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

prune16.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01111
Picked011
Done000
Total01212

Merged error: 5.4b

Counts
12 → 12
Compiler

Compiled 370 to 257 computations (30.5% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.3b
(/.f64 (*.f64 a c) b)
0.3b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite29.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
17×prod-exp_binary64_2514 cbrt-unprod_binary64_2498
16×cbrt-undiv_binary64_2499 div-exp_binary64_2516
10×add-sqr-sqrt_binary64_2487
8×*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500
7×times-frac_binary64_2471 associate-*r*_binary64_2405
5×pow1_binary64_2526
4×associate-/r*_binary64_2409
3×add-log-exp_binary64_2504 div-inv_binary64_2462 associate-*l*_binary64_2406
2×associate-*r/_binary64_2407 clear-num_binary64_2464 frac-2neg_binary64_2476 associate-/l*_binary64_2410
1×*-commutative_binary64_2396 associate-/l/_binary64_2412 unswap-sqr_binary64_2433 pow-prod-down_binary64_2536
Counts
3 → 78
Calls

3 calls:

11.0ms
(/.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)

series60.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

22.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
20.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
18.0ms
(/.f64 (*.f64 a c) b)

simplify56.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04962874
14962874

prune96.0ms (2.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New761187
Fresh01010
Picked101
Done011
Total772299

Merged error: 5.4b

Counts
99 → 22
Compiler

Compiled 1609 to 930 computations (42.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite47.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
40×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
14×prod-exp_binary64_2514 cbrt-unprod_binary64_2498
11×*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487
10×times-frac_binary64_2471 cbrt-undiv_binary64_2499 div-exp_binary64_2516 associate-*r*_binary64_2405
9×pow1_binary64_2526
8×sqrt-div_binary64_2482
7×sqrt-prod_binary64_2481 associate-/r*_binary64_2409
6×associate-*r/_binary64_2407
4×add-log-exp_binary64_2504 div-inv_binary64_2462
3×associate-/l/_binary64_2412 clear-num_binary64_2464 frac-2neg_binary64_2476 pow-prod-down_binary64_2536 associate-/l*_binary64_2410
2×associate-*l/_binary64_2408 frac-times_binary64_2475
1×*-commutative_binary64_2396 associate-*l*_binary64_2406
Counts
4 → 98
Calls

4 calls:

14.0ms
(/.f64 (*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b))) (*.f64 3 a))
12.0ms
(*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b)))
4.0ms
(/.f64 (*.f64 a c) b)
4.0ms
(/.f64 (*.f64 a c) b)

series151.0ms (3.3%)

Counts
4 → 12
Calls

4 calls:

64.0ms
(*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b)))
52.0ms
(/.f64 (*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b))) (*.f64 3 a))
18.0ms
(/.f64 (*.f64 a c) b)
17.0ms
(/.f64 (*.f64 a c) b)

simplify80.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049511261
149511261

prune87.0ms (1.9%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1055110
Fresh21820
Picked101
Done011
Total10824132

Merged error: 5.3b

Counts
132 → 24
Compiler

Compiled 1997 to 804 computations (59.7% saved)

regimes616.0ms (13.6%)

Compiler

Compiled 6011 to 4511 computations (25% saved)

bsearch3.0ms (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%)

sample2.1s (46.5%)

Algorithm
1×intervals
Results
296.0ms2998×body256valid
276.0ms8895×pre128true
250.0ms5001×body128valid
43.0ms895×body128nan
0.0ms1×body512valid
Compiler

Compiled 1277 to 952 computations (25.5% saved)

Profiling

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