Details

Time bar (total: 2.8s)

analyze7.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample29.0ms (1.1%)

Algorithm
1×intervals
Results
19.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify161.0ms (5.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
02110
12110

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite19.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_2487
12×times-frac_binary64_2471
10×*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500
4×difference-of-squares_binary64_2434 associate-/l*_binary64_2410
3×associate-/r*_binary64_2409 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
2×associate-/l/_binary64_2412
1×add-log-exp_binary64_2504 flip--_binary64_2440 clear-num_binary64_2464 cbrt-undiv_binary64_2499 div-sub_binary64_2470 div-exp_binary64_2516 div-inv_binary64_2462 pow1_binary64_2526 frac-2neg_binary64_2476 flip3--_binary64_2469
Counts
1 → 34
Calls

1 calls:

15.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)

series68.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

68.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)

simplify115.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
04883602
14883602

prune72.0ms (2.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New33437
Fresh000
Picked101
Done000
Total34438

Merged error: 0.0b

Counts
38 → 4
Compiler

Compiled 541 to 375 computations (30.7% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (*.f64 x x) 6)

rewrite16.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
6×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
3×*-un-lft-identity_binary64_2465 times-frac_binary64_2471 associate-/r*_binary64_2409 add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487
2×cbrt-undiv_binary64_2499 div-exp_binary64_2516
1×add-log-exp_binary64_2504 clear-num_binary64_2464 div-inv_binary64_2462 pow1_binary64_2526 prod-exp_binary64_2514 frac-2neg_binary64_2476 associate-/l*_binary64_2410 cbrt-unprod_binary64_2498
Counts
1 → 21
Calls

1 calls:

13.0ms
(/.f64 (*.f64 x x) 6)

series38.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

37.0ms
(/.f64 (*.f64 x x) 6)

simplify144.0ms (5.2%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (129.0ms)

IterNodesCost
04911205
14911205

prune37.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New23124
Fresh123
Picked011
Done000
Total24428

Merged error: 0.0b

Counts
28 → 4
Compiler

Compiled 256 to 186 computations (27.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 x (/.f64 x 6))

rewrite20.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_2487
13×associate-*r*_binary64_2405
10×times-frac_binary64_2471
9×*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500
6×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
3×pow1_binary64_2526 associate-*l*_binary64_2406
2×unswap-sqr_binary64_2433 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
1×add-log-exp_binary64_2504 *-commutative_binary64_2396 associate-*r/_binary64_2407 cbrt-undiv_binary64_2499 div-exp_binary64_2516 div-inv_binary64_2462 pow-prod-down_binary64_2536
Counts
1 → 32
Calls

1 calls:

16.0ms
(*.f64 x (/.f64 x 6))

series33.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

33.0ms
(*.f64 x (/.f64 x 6))

simplify134.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
04900317
14900317

prune53.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New33235
Fresh022
Picked011
Done011
Total33639

Merged error: 0b

Counts
39 → 6
Compiler

Compiled 439 to 328 computations (25.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)

rewrite17.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_2487
4×associate-*l*_binary64_2406
3×*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 pow1_binary64_2526 associate-*r*_binary64_2405
2×associate-*l/_binary64_2408
1×difference-of-squares_binary64_2434 add-log-exp_binary64_2504 *-commutative_binary64_2396 flip--_binary64_2440 unswap-sqr_binary64_2433 prod-exp_binary64_2514 pow-prod-down_binary64_2536 flip3--_binary64_2469 cbrt-unprod_binary64_2498
Counts
1 → 21
Calls

1 calls:

15.0ms
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)

series71.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

71.0ms
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)

simplify139.0ms (5%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (123.0ms)

IterNodesCost
04487291
14487291

prune35.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New24024
Fresh033
Picked011
Done022
Total24630

Merged error: 0b

Counts
30 → 6
Compiler

Compiled 291 to 193 computations (33.7% saved)

regimes300.0ms (10.7%)

Compiler

Compiled 1445 to 1188 computations (17.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01710
11710

end0.0ms (0%)

sample1.2s (44.3%)

Algorithm
1×intervals
Results
341.0ms8000×body128valid
Compiler

Compiled 303 to 252 computations (16.8% saved)

Profiling

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