Details

Time bar (total: 1.9s)

analyze24.0ms (1.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample11.0ms (0.6%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify99.0ms (5.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01147
11147

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 x (/.f64 y 200))

rewrite9.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_10330 cancel-sign-sub-inv_binary64_10274
10×times-frac_binary64_10314 *-un-lft-identity_binary64_10308
8×add-cube-cbrt_binary64_10343
3×add-log-exp_binary64_10347
2×difference-of-squares_binary64_10277
1×flip--_binary64_10283 sub-neg_binary64_10301 flip3--_binary64_10312 pow1_binary64_10369 add-cbrt-cube_binary64_10344 add-exp-log_binary64_10346 distribute-lft-out--_binary64_10260 diff-log_binary64_10400 div-inv_binary64_10305
Counts
1 → 27
Calls

1 calls:

8.0ms
(-.f64 x (/.f64 y 200))

series60.0ms (3.2%)

Counts
1 → 12
Calls

1 calls:

60.0ms
(-.f64 x (/.f64 y 200))
Compiler

Compiled 72 to 78 computations (-8.3% saved)

simplify49.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04916304
14916304

prune23.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440
Error
0.0b
Counts
40 → 4
Compiler

Compiled 298 to 200 computations (32.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 y -1/200))
0.2b
(*.f64 y -1/200)

rewrite8.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_10330
4×add-log-exp_binary64_10347 pow1_binary64_10369 add-cbrt-cube_binary64_10344 add-cube-cbrt_binary64_10343 add-exp-log_binary64_10346 *-un-lft-identity_binary64_10308
3×associate-*r*_binary64_10248 associate-*l*_binary64_10249
1×cbrt-unprod_binary64_10341 sum-log_binary64_10399 prod-exp_binary64_10357 flip-+_binary64_10282 +-commutative_binary64_10238 pow-prod-down_binary64_10379 flip3-+_binary64_10311 *-commutative_binary64_10239 unswap-sqr_binary64_10276
Counts
2 → 29
Calls

2 calls:

4.0ms
(*.f64 y -1/200)
3.0ms
(+.f64 x (*.f64 y -1/200))

series75.0ms (4%)

Counts
2 → 15
Calls

2 calls:

59.0ms
(+.f64 x (*.f64 y -1/200))
15.0ms
(*.f64 y -1/200)
Compiler

Compiled 102 to 108 computations (-5.9% saved)

simplify84.0ms (4.5%)

Algorithm
1×egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04883323
14883323

prune29.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New42244
Fresh112
Picked011
Done011
Total43548
Error
0b
Counts
48 → 5
Compiler

Compiled 368 to 258 computations (29.9% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 y -1/200)) (cbrt.f64 (*.f64 y -1/200)))
0.6b
(cbrt.f64 (*.f64 y -1/200))
0.6b
(cbrt.f64 (*.f64 y -1/200))
0.6b
(cbrt.f64 (*.f64 y -1/200))

rewrite17.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
11×pow1_binary64_10369
10×add-sqr-sqrt_binary64_10330
9×pow1/3_binary64_10390
8×add-cube-cbrt_binary64_10343 *-un-lft-identity_binary64_10308
7×cbrt-prod_binary64_10339
6×add-exp-log_binary64_10346
4×swap-sqr_binary64_10275 add-log-exp_binary64_10347 associate-*r*_binary64_10248 associate-*l*_binary64_10249 add-cbrt-cube_binary64_10344
2×pow-sqr_binary64_10281 pow-prod-down_binary64_10379 pow-prod-up_binary64_10378
1×cbrt-unprod_binary64_10341 prod-exp_binary64_10357 pow-plus_binary64_10371 *-commutative_binary64_10239 unswap-sqr_binary64_10276 pow2_binary64_10389
Counts
4 → 58
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 y -1/200)) (cbrt.f64 (*.f64 y -1/200)))
3.0ms
(cbrt.f64 (*.f64 y -1/200))
2.0ms
(cbrt.f64 (*.f64 y -1/200))
2.0ms
(cbrt.f64 (*.f64 y -1/200))

series455.0ms (24.5%)

Counts
4 → 12
Calls

4 calls:

133.0ms
(*.f64 (cbrt.f64 (*.f64 y -1/200)) (cbrt.f64 (*.f64 y -1/200)))
113.0ms
(cbrt.f64 (*.f64 y -1/200))
111.0ms
(cbrt.f64 (*.f64 y -1/200))
97.0ms
(cbrt.f64 (*.f64 y -1/200))
Compiler

Compiled 458 to 416 computations (9.2% saved)

simplify48.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05095574

prune71.0ms (3.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh022
Picked011
Done022
Total70575
Error
0b
Counts
75 → 5
Compiler

Compiled 1249 to 967 computations (22.6% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (*.f64 y -1/200))
0.2b
(*.f64 y -1/200)
0.2b
(*.f64 y -1/200)
0.2b
(*.f64 (sqrt.f64 (*.f64 y -1/200)) (sqrt.f64 (*.f64 y -1/200)))

rewrite24.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
60×pow1_binary64_10369
30×sqrt-pow1_binary64_10326
23×pow-prod-down_binary64_10379
18×add-sqr-sqrt_binary64_10330
12×add-cube-cbrt_binary64_10343 *-un-lft-identity_binary64_10308
11×pow1/2_binary64_10388
10×associate-*r*_binary64_10248 associate-*l*_binary64_10249 add-cbrt-cube_binary64_10344 add-exp-log_binary64_10346 pow-prod-up_binary64_10378
6×pow-sqr_binary64_10281
5×sqrt-prod_binary64_10324
4×swap-sqr_binary64_10275 add-log-exp_binary64_10347
3×cbrt-unprod_binary64_10341 prod-exp_binary64_10357 *-commutative_binary64_10239 unswap-sqr_binary64_10276
1×rem-square-sqrt_binary64_10320 sqrt-unprod_binary64_10328 pow-plus_binary64_10371 pow2_binary64_10389
Counts
4 → 96
Calls

4 calls:

9.0ms
(*.f64 (sqrt.f64 (*.f64 y -1/200)) (sqrt.f64 (*.f64 y -1/200)))
4.0ms
(*.f64 y -1/200)
4.0ms
(*.f64 y -1/200)
2.0ms
(sqrt.f64 (*.f64 y -1/200))

series73.0ms (4%)

Counts
4 → 12
Calls

4 calls:

25.0ms
(*.f64 (sqrt.f64 (*.f64 y -1/200)) (sqrt.f64 (*.f64 y -1/200)))
17.0ms
(*.f64 y -1/200)
17.0ms
(*.f64 y -1/200)
14.0ms
(sqrt.f64 (*.f64 y -1/200))
Compiler

Compiled 279 to 257 computations (7.9% saved)

simplify71.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04980599
14980599

prune80.0ms (4.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1080108
Fresh011
Picked011
Done033
Total1085113
Error
0b
Counts
113 → 5
Compiler

Compiled 1247 to 923 computations (26% saved)

regimes68.0ms (3.7%)

Accuracy

Total 0.0b remaining (59.7%)

Threshold costs 0.0b (59.7%)

Compiler

Compiled 364 to 342 computations (6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0237
1237

end0.0ms (0%)

sample449.0ms (24.2%)

Algorithm
1×intervals
Results
162.0ms8000×body128valid
Compiler

Compiled 97 to 92 computations (5.2% saved)

Profiling

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