Details

Time bar (total: 3.0s)

analyze8.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
62.5%6.2%31.3%6
65.6%3.1%31.3%7
65.6%1.6%32.8%8
66.4%0.8%32.8%9
66.4%0.4%33.2%10
66.6%0.2%33.2%11
66.6%0.1%33.3%12
66.6%0%33.4%13
66.6%0%33.4%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample16.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify315.0ms (10.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (208.0ms)

IterNodesCost
0467913
1467913

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite18.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64_13438 add-exp-log_binary64_13415 add-cbrt-cube_binary64_13413
prod-exp_binary64_13426 associate-*r*_binary64_13317 cbrt-unprod_binary64_13410 add-sqr-sqrt_binary64_13399 pow-prod-down_binary64_13448
distribute-rgt-in_binary64_13327 add-cube-cbrt_binary64_13412 *-un-lft-identity_binary64_13377 distribute-lft-in_binary64_13326 associate-*r/_binary64_13319 sub-neg_binary64_13370 cancel-sign-sub-inv_binary64_13343
unswap-sqr_binary64_13345 *-commutative_binary64_13308 flip3--_binary64_13381 flip--_binary64_13352 add-log-exp_binary64_13416 associate-*l*_binary64_13318
Counts
1 → 25
Calls

1 calls:

15.0ms
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

series54.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

54.0ms
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

simplify106.0ms (3.6%)

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
05105417

prune63.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New23528
Fresh000
Picked101
Done000
Total24529
Error
0.0b
Counts
29 → 5
Compiler

Compiled 457 to 315 computations (31.1% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (pow.f64 x 3) -2)
0.0b
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
0.2b
(*.f64 (*.f64 x x) 3)

rewrite22.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_13399
13×add-exp-log_binary64_13415 associate-*l*_binary64_13318
10×add-cbrt-cube_binary64_13413
add-cube-cbrt_binary64_13412 *-un-lft-identity_binary64_13377 pow1_binary64_13438
prod-exp_binary64_13426 associate-*r*_binary64_13317
unswap-sqr_binary64_13345 add-log-exp_binary64_13416
cbrt-unprod_binary64_13410 cube-prod_binary64_13405 unpow-prod-down_binary64_13456
pow-prod-down_binary64_13448
*-commutative_binary64_13308 sqr-pow_binary64_13349
+-commutative_binary64_13307 sum-log_binary64_13468 cube-mult_binary64_13407 pow-to-exp_binary64_13446 pow-exp_binary64_13445 flip-+_binary64_13351 flip3-+_binary64_13380 unpow3_binary64_13443
Counts
3 → 61
Calls

3 calls:

6.0ms
(*.f64 (pow.f64 x 3) -2)
6.0ms
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
6.0ms
(*.f64 (*.f64 x x) 3)

series147.0ms (4.9%)

Counts
3 → 9
Calls

3 calls:

67.0ms
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
45.0ms
(*.f64 (pow.f64 x 3) -2)
35.0ms
(*.f64 (*.f64 x x) 3)

simplify84.0ms (2.8%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04922736
14922736

prune82.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New67370
Fresh224
Picked011
Done000
Total69675
Error
0.0b
Counts
75 → 6
Compiler

Compiled 1115 to 777 computations (30.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (pow.f64 x 3) -2)
0.0b
(+.f64 (*.f64 x (*.f64 x 3)) (*.f64 (pow.f64 x 3) -2))
0.1b
(*.f64 x (*.f64 x 3))

rewrite20.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64_13399 associate-*l*_binary64_13318
13×add-exp-log_binary64_13415
10×add-cbrt-cube_binary64_13413
add-cube-cbrt_binary64_13412 *-un-lft-identity_binary64_13377 pow1_binary64_13438
prod-exp_binary64_13426
add-log-exp_binary64_13416
associate-*r*_binary64_13317 cbrt-unprod_binary64_13410 unswap-sqr_binary64_13345 cube-prod_binary64_13405 unpow-prod-down_binary64_13456
pow-prod-down_binary64_13448
*-commutative_binary64_13308 sqr-pow_binary64_13349
+-commutative_binary64_13307 sum-log_binary64_13468 cube-mult_binary64_13407 pow-to-exp_binary64_13446 pow-exp_binary64_13445 flip-+_binary64_13351 flip3-+_binary64_13380 unpow3_binary64_13443
Counts
3 → 60
Calls

3 calls:

6.0ms
(*.f64 (pow.f64 x 3) -2)
6.0ms
(+.f64 (*.f64 x (*.f64 x 3)) (*.f64 (pow.f64 x 3) -2))
5.0ms
(*.f64 x (*.f64 x 3))

series165.0ms (5.5%)

Counts
3 → 9
Calls

3 calls:

108.0ms
(+.f64 (*.f64 x (*.f64 x 3)) (*.f64 (pow.f64 x 3) -2))
39.0ms
(*.f64 (pow.f64 x 3) -2)
18.0ms
(*.f64 x (*.f64 x 3))

simplify98.0ms (3.3%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04931726
14931726

prune79.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh044
Picked011
Done011
Total69675
Error
0.0b
Counts
75 → 6
Compiler

Compiled 1094 to 807 computations (26.2% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3))) (*.f64 (pow.f64 x 3) -2))
0.3b
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
0.4b
(*.f64 x (sqrt.f64 3))
0.4b
(*.f64 x (sqrt.f64 3))

rewrite46.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
47×pow1_binary64_13438
20×add-exp-log_binary64_13415 add-cbrt-cube_binary64_13413
19×pow-prod-down_binary64_13448
18×add-sqr-sqrt_binary64_13399
13×associate-*r*_binary64_13317
10×prod-exp_binary64_13426 add-cube-cbrt_binary64_13412 *-un-lft-identity_binary64_13377 cbrt-unprod_binary64_13410
sqrt-prod_binary64_13393
associate-*l*_binary64_13318
add-log-exp_binary64_13416
unswap-sqr_binary64_13345 pow-sqr_binary64_13350 pow-prod-up_binary64_13447
*-commutative_binary64_13308
pow-plus_binary64_13440
+-commutative_binary64_13307 swap-sqr_binary64_13344 sum-log_binary64_13468 pow2_binary64_13458 flip-+_binary64_13351 flip3-+_binary64_13380
Counts
4 → 89
Calls

4 calls:

12.0ms
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
10.0ms
(+.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3))) (*.f64 (pow.f64 x 3) -2))
9.0ms
(*.f64 x (sqrt.f64 3))
8.0ms
(*.f64 x (sqrt.f64 3))

series237.0ms (8%)

Counts
4 → 12
Calls

4 calls:

110.0ms
(+.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3))) (*.f64 (pow.f64 x 3) -2))
43.0ms
(*.f64 x (sqrt.f64 3))
43.0ms
(*.f64 x (sqrt.f64 3))
42.0ms
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))

simplify133.0ms (4.5%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
05057886

prune152.0ms (5.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1001101
Fresh033
Picked011
Done022
Total1007107
Error
0b
Counts
107 → 7
Compiler

Compiled 1648 to 1295 computations (21.4% saved)

regimes102.0ms (3.4%)

Accuracy

Total 0.1b remaining (97.8%)

Threshold costs 0.1b (97.8%)

Compiler

Compiled 762 to 614 computations (19.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01316
11316

end0.0ms (0%)

sample986.0ms (33.2%)

Algorithm
intervals
Results
297.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 355 to 290 computations (18.3% saved)

Profiling

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