Details

Time bar (total: 5.8s)

analyze992.0ms (17.1%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112470
1112470
044
144
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
23.4%74.9%1.8%11
27.3%69.4%3.3%12
36.6%56.5%6.8%13
40.5%52%7.4%14
Symmetry

(sort y t)

Compiler

Compiled 10 to 9 computations (10% saved)

sample36.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
2.0ms75×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify30.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
043810
143810

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Compiler

Compiled 23 to 22 computations (4.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 t (-.f64 x z))
7.0b
(*.f64 y (*.f64 t (-.f64 x z)))

rewrite65.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
20×distribute-rgt-in_binary64_13327 distribute-lft-in_binary64_13326
18×cancel-sign-sub-inv_binary64_13343
15×add-sqr-sqrt_binary64_13399
13×*-un-lft-identity_binary64_13377
11×add-cube-cbrt_binary64_13412
pow1_binary64_13438 add-exp-log_binary64_13415 add-cbrt-cube_binary64_13413
sub-neg_binary64_13370 associate-*r/_binary64_13319 associate-*l*_binary64_13318 associate-*r*_binary64_13317
pow-prod-down_binary64_13448 prod-exp_binary64_13426 cbrt-unprod_binary64_13410
add-log-exp_binary64_13416 flip3--_binary64_13381 flip--_binary64_13352 *-commutative_binary64_13308
unswap-sqr_binary64_13345 difference-of-squares_binary64_13346 distribute-lft-out--_binary64_13329
Counts
2 → 66
Calls

2 calls:

8.0ms
(*.f64 y (*.f64 t (-.f64 x z)))
7.0ms
(*.f64 t (-.f64 x z))
Compiler

Compiled 918 to 248 computations (73% saved)

series287.0ms (4.9%)

Error
0.1b
Counts
2 → 33
Calls

2 calls:

183.0ms
(*.f64 y (*.f64 t (-.f64 x z)))
89.0ms
(*.f64 t (-.f64 x z))
Compiler

Compiled 705 to 455 computations (35.5% saved)

simplify61.0ms (1.1%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049321049
149321049

prune59.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New93699
Fresh101
Picked011
Done000
Total947101
Error
0.0b
Counts
101 → 7
Compiler

Compiled 1047 to 209 computations (80% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
1.7b
(*.f64 t (*.f64 (-.f64 x z) (cbrt.f64 y)))
3.6b
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 t (*.f64 (-.f64 x z) (cbrt.f64 y))))

rewrite84.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
30×pow1_binary64_13438 add-exp-log_binary64_13415
21×add-cbrt-cube_binary64_13413
18×pow-prod-down_binary64_13448 prod-exp_binary64_13426 cbrt-unprod_binary64_13410
add-cube-cbrt_binary64_13412 add-sqr-sqrt_binary64_13399 *-un-lft-identity_binary64_13377
associate-*r/_binary64_13319 cbrt-prod_binary64_13408
add-log-exp_binary64_13416 associate-*l/_binary64_13320 associate-*l*_binary64_13318
flip3--_binary64_13381 flip--_binary64_13352 associate-*r*_binary64_13317 *-commutative_binary64_13308 pow1/3_binary64_13459
Counts
4 → 72
Calls

4 calls:

15.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 t (*.f64 (-.f64 x z) (cbrt.f64 y))))
8.0ms
(*.f64 t (*.f64 (-.f64 x z) (cbrt.f64 y)))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1520 to 261 computations (82.8% saved)

series839.0ms (14.5%)

Error
0.0b
Counts
4 → 42
Calls

4 calls:

474.0ms
(*.f64 t (*.f64 (-.f64 x z) (cbrt.f64 y)))
196.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 t (*.f64 (-.f64 x z) (cbrt.f64 y))))
74.0ms
(cbrt.f64 y)
70.0ms
(cbrt.f64 y)
Compiler

Compiled 1572 to 1028 computations (34.6% saved)

simplify39.0ms (0.7%)

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
051981176

prune68.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh145
Picked011
Done011
Total1147121
Error
0.0b
Counts
121 → 7
Compiler

Compiled 1605 to 317 computations (80.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

7.8b
(*.f64 (*.f64 t y) (-.f64 x z))

rewrite30.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_13438 add-exp-log_binary64_13415 add-cbrt-cube_binary64_13413 add-sqr-sqrt_binary64_13399 *-un-lft-identity_binary64_13377 cancel-sign-sub-inv_binary64_13343
associate-*r*_binary64_13317
add-cube-cbrt_binary64_13412 distribute-rgt-in_binary64_13327 distribute-lft-in_binary64_13326
pow-prod-down_binary64_13448 prod-exp_binary64_13426 cbrt-unprod_binary64_13410
sub-neg_binary64_13370 associate-*r/_binary64_13319
add-log-exp_binary64_13416 flip3--_binary64_13381 flip--_binary64_13352 associate-*l*_binary64_13318 difference-of-squares_binary64_13346 distribute-lft-out--_binary64_13329 *-commutative_binary64_13308
Counts
1 → 30
Calls

1 calls:

10.0ms
(*.f64 (*.f64 t y) (-.f64 x z))
Compiler

Compiled 428 to 118 computations (72.4% saved)

series183.0ms (3.2%)

Error
0.0b
Counts
1 → 18
Calls

1 calls:

176.0ms
(*.f64 (*.f64 t y) (-.f64 x z))
Compiler

Compiled 408 to 262 computations (35.8% saved)

simplify53.0ms (0.9%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04974558
14974558

prune29.0ms (0.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New46248
Fresh044
Picked011
Done022
Total46955
Error
0.0b
Counts
55 → 9
Compiler

Compiled 540 to 128 computations (76.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
3.6b
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 t (-.f64 x z)) (cbrt.f64 y)))
3.6b
(*.f64 (*.f64 t (-.f64 x z)) (cbrt.f64 y))

rewrite83.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
30×pow1_binary64_13438 add-exp-log_binary64_13415
18×pow-prod-down_binary64_13448 prod-exp_binary64_13426 add-cbrt-cube_binary64_13413 cbrt-unprod_binary64_13410
cbrt-prod_binary64_13408
add-cube-cbrt_binary64_13412 add-sqr-sqrt_binary64_13399 *-un-lft-identity_binary64_13377
associate-*r*_binary64_13317
associate-*r/_binary64_13319
add-log-exp_binary64_13416 associate-*l/_binary64_13320
flip3--_binary64_13381 flip--_binary64_13352 associate-*l*_binary64_13318 *-commutative_binary64_13308 pow1/3_binary64_13459
Counts
4 → 75
Calls

4 calls:

14.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 t (-.f64 x z)) (cbrt.f64 y)))
9.0ms
(*.f64 (*.f64 t (-.f64 x z)) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1560 to 259 computations (83.4% saved)

series799.0ms (13.8%)

Error
0.0b
Counts
4 → 42
Calls

4 calls:

433.0ms
(*.f64 (*.f64 t (-.f64 x z)) (cbrt.f64 y))
195.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 t (-.f64 x z)) (cbrt.f64 y)))
75.0ms
(cbrt.f64 y)
72.0ms
(cbrt.f64 y)
Compiler

Compiled 1572 to 1024 computations (34.9% saved)

simplify41.0ms (0.7%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
054301227

prune66.0ms (1.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1161117
Fresh235
Picked011
Done033
Total1188126
Error
0.0b
Counts
126 → 8
Compiler

Compiled 1613 to 266 computations (83.5% saved)

regimes506.0ms (8.7%)

Accuracy

Total 0.3b remaining (95.9%)

Threshold costs 0.3b (95.9%)

Compiler

Compiled 2914 to 2168 computations (25.6% saved)

bsearch2.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
061116
161116
Compiler

Compiled 158 to 50 computations (68.4% saved)

end0.0ms (0%)

sample1.4s (24.2%)

Algorithm
intervals
Results
241.0ms8000×body128valid
59.0ms1897×body128invalid
Compiler

Compiled 597 to 406 computations (32% saved)

Profiling

Loading profile data...