Details

Time bar (total: 2.7s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
62.5%25%12.5%4
68.7%12.5%18.8%5
71.8%6.2%21.9%6
73.4%3.1%23.5%7
74.2%1.6%24.3%8
74.6%0.8%24.6%9
75%0.4%24.6%10
75.1%0.2%24.7%11
75.1%0.1%24.8%12
75.1%0%24.8%13
75.2%0%24.8%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample30.0ms (1.1%)

Algorithm
intervals
Results
14.0ms92×body1024valid
4.0ms45×body512valid
2.0ms93×body128valid
1.0ms21×body256valid
1.0msbody2048valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify105.0ms (3.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
01689
11689

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
40.4b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 (exp.f64 x) 1) x)
3.0b
(-.f64 (exp.f64 x) 1)

rewrite67.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
40.3b
Rules
35×add-sqr-sqrt_binary64_2487
30×*-un-lft-identity_binary64_2465
21×times-frac_binary64_2471
15×add-cube-cbrt_binary64_2500
10×difference-of-squares_binary64_2434
associate-/l*_binary64_2410
difference-of-sqr-1_binary64_2435 distribute-lft-out--_binary64_2417
add-log-exp_binary64_2504 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
cancel-sign-sub-inv_binary64_2431 associate-/r*_binary64_2409
pow1_binary64_2526 flip3--_binary64_2469 flip--_binary64_2440 associate-/l/_binary64_2412
diff-log_binary64_2557 sub-neg_binary64_2458 div-exp_binary64_2516 cbrt-undiv_binary64_2499 frac-2neg_binary64_2476 div-sub_binary64_2470 clear-num_binary64_2464 div-inv_binary64_2462
Counts
2 → 64
Calls

2 calls:

8.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 893 to 496 computations (44.5% saved)

series65.0ms (2.4%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

33.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
16.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 242 to 192 computations (20.7% saved)

simplify63.0ms (2.4%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049611076
149611076

prune58.0ms (2.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New74276
Fresh000
Picked101
Done000
Total75277
Error
0b
Counts
77 → 2
Compiler

Compiled 921 to 507 computations (45% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1/6 (*.f64 x 1/24))
0.0b
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.2b
(*.f64 x (+.f64 1/6 (*.f64 x 1/24)))
0.3b
(*.f64 x 1/24)

rewrite100.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
16×add-sqr-sqrt_binary64_2487
10×pow1_binary64_2526 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465
associate-*l*_binary64_2406 associate-*r*_binary64_2405
add-log-exp_binary64_2504
associate-*r/_binary64_2407
pow-prod-down_binary64_2536 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 unswap-sqr_binary64_2433 *-commutative_binary64_2396 flip3-+_binary64_2468 flip-+_binary64_2439
distribute-rgt-in_binary64_2415 distribute-lft-in_binary64_2414
sum-log_binary64_2556 +-commutative_binary64_2395
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 x (+.f64 1/6 (*.f64 x 1/24)))
5.0ms
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
4.0ms
(*.f64 x 1/24)
3.0ms
(+.f64 1/6 (*.f64 x 1/24))
Compiler

Compiled 1504 to 1164 computations (22.6% saved)

series142.0ms (5.3%)

Error
0b
Counts
4 → 20
Calls

4 calls:

48.0ms
(*.f64 x (+.f64 1/6 (*.f64 x 1/24)))
34.0ms
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
27.0ms
(+.f64 1/6 (*.f64 x 1/24))
19.0ms
(*.f64 x 1/24)
Compiler

Compiled 630 to 531 computations (15.7% saved)

simplify83.0ms (3.1%)

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
048841083
148841083

prune88.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done000
Total93295
Error
0b
Counts
95 → 2
Compiler

Compiled 1609 to 1247 computations (22.5% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(pow.f64 (exp.f64 x) 2)
0.0b
(+.f64 (exp.f64 x) 1)
0.0b
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
2.9b
(+.f64 -1 (pow.f64 (exp.f64 x) 2))

rewrite122.0ms (4.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
41×*-un-lft-identity_binary64_2465
17×add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487
16×times-frac_binary64_2471
12×distribute-lft-out_binary64_2416
add-log-exp_binary64_2504
add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
pow1_binary64_2526
flip3-+_binary64_2468 flip-+_binary64_2439 associate-/l*_binary64_2410 associate-/r*_binary64_2409 pow-pow_binary64_2537
unpow-prod-down_binary64_2544 pow-unpow_binary64_2542 exp-prod_binary64_2517
sum-log_binary64_2556 +-commutative_binary64_2395 associate-/l/_binary64_2412 associate-/r/_binary64_2411
div-exp_binary64_2516 cbrt-undiv_binary64_2499 frac-2neg_binary64_2476 clear-num_binary64_2464 div-inv_binary64_2462 pow-to-exp_binary64_2534 pow-exp_binary64_2533 unpow2_binary64_2530 sqr-pow_binary64_2437
Counts
4 → 85
Calls

4 calls:

11.0ms
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
5.0ms
(+.f64 -1 (pow.f64 (exp.f64 x) 2))
4.0ms
(+.f64 (exp.f64 x) 1)
3.0ms
(pow.f64 (exp.f64 x) 2)
Compiler

Compiled 1818 to 1218 computations (33% saved)

series149.0ms (5.6%)

Error
0b
Counts
4 → 23
Calls

4 calls:

62.0ms
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
31.0ms
(+.f64 -1 (pow.f64 (exp.f64 x) 2))
23.0ms
(pow.f64 (exp.f64 x) 2)
15.0ms
(+.f64 (exp.f64 x) 1)
Compiler

Compiled 804 to 608 computations (24.4% saved)

simplify68.0ms (2.6%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050441517

prune94.0ms (3.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh000
Picked011
Done011
Total1082110
Error
0b
Counts
110 → 2
Compiler

Compiled 1859 to 1204 computations (35.2% saved)

regimes95.0ms (3.6%)

Accuracy

Total 0.6b remaining (97.3%)

Threshold costs 0.6b (97.3%)

Compiler

Compiled 632 to 497 computations (21.4% saved)

bsearch1.0ms (0%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03630
13630

end0.0ms (0%)

sample1.3s (48.8%)

Algorithm
intervals
Results
423.0ms2682×body1024valid
118.0ms1298×body512valid
76.0ms3059×body128valid
47.0ms273×body2048valid
41.0ms688×body256valid
Compiler

Compiled 337 to 261 computations (22.6% saved)

Profiling

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