Details

Time bar (total: 3.3s)

analyze535.0ms (16.4%)

Algorithm
search
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
7%92.8%0.2%8
19.1%80.7%0.2%9
29.8%70%0.2%10
31.3%68.5%0.2%11
42.3%57.2%0.6%12
53.3%45.5%1.2%13
59.2%39.3%1.5%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.6%)

Algorithm
intervals
Results
8.0ms256×body128valid
1.0ms22×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify452.0ms (13.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (348.0ms)

IterNodesCost
0558013

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.0b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
12.2b
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite21.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_15445
14×*-un-lft-identity_binary64_15423
add-exp-log_binary64_15461 add-cbrt-cube_binary64_15459
add-cube-cbrt_binary64_15458
cancel-sign-sub-inv_binary64_15389
times-frac_binary64_15429 associate-*r*_binary64_15363 associate-/r*_binary64_15367
pow1_binary64_15484 distribute-lft-in_binary64_15372 distribute-rgt-in_binary64_15373 associate-*r/_binary64_15365
flip3--_binary64_15427 difference-of-squares_binary64_15392 flip--_binary64_15398 distribute-lft-out--_binary64_15375 associate-*l*_binary64_15364
div-exp_binary64_15474 associate-/l/_binary64_15370 cbrt-undiv_binary64_15457 prod-exp_binary64_15472 associate-/r/_binary64_15369 sub-neg_binary64_15416 cbrt-unprod_binary64_15456 add-log-exp_binary64_15462
*-commutative_binary64_15354 frac-2neg_binary64_15434 associate-/l*_binary64_15368 div-inv_binary64_15420 clear-num_binary64_15422 unswap-sqr_binary64_15391 pow-prod-down_binary64_15494
Counts
2 → 59
Calls

2 calls:

10.0ms
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
7.0ms
(*.f64 x (-.f64 y z))

series112.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

80.0ms
(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
32.0ms
(*.f64 x (-.f64 y z))

simplify53.0ms (1.6%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
06045780

prune50.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New58765
Fresh000
Picked011
Done000
Total58866

Merged error: 0b

Counts
66 → 8
Compiler

Compiled 964 to 254 computations (73.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 t z) (-.f64 y z))
1.1b
(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite40.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
218×times-frac_binary64_15429
194×*-un-lft-identity_binary64_15423 add-sqr-sqrt_binary64_15445
90×add-cube-cbrt_binary64_15458
52×difference-of-squares_binary64_15392 distribute-lft-out--_binary64_15375
36×associate-/r*_binary64_15367
11×associate-/r/_binary64_15369
add-exp-log_binary64_15461 add-cbrt-cube_binary64_15459
associate-/l*_binary64_15368
flip3--_binary64_15427 flip--_binary64_15398 div-inv_binary64_15420
div-exp_binary64_15474 cbrt-undiv_binary64_15457
frac-2neg_binary64_15434 pow1_binary64_15484 associate-/l/_binary64_15370 clear-num_binary64_15422 add-log-exp_binary64_15462
div-sub_binary64_15428
Counts
2 → 194
Calls

2 calls:

12.0ms
(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
8.0ms
(/.f64 (-.f64 t z) (-.f64 y z))

series187.0ms (5.7%)

Counts
2 → 6
Calls

2 calls:

143.0ms
(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
44.0ms
(/.f64 (-.f64 t z) (-.f64 y z))

simplify95.0ms (2.9%)

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050094887

prune127.0ms (3.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1982200
Fresh426
Picked011
Done011
Total2026208

Merged error: 0b

Counts
208 → 6
Compiler

Compiled 3887 to 555 computations (85.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 y z) (-.f64 t z))
1.6b
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite32.0ms (1%)

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt_binary64_15445
70×*-un-lft-identity_binary64_15423
51×times-frac_binary64_15429
31×associate-*r*_binary64_15363
26×add-cube-cbrt_binary64_15458
22×difference-of-squares_binary64_15392 distribute-lft-out--_binary64_15375
add-exp-log_binary64_15461 add-cbrt-cube_binary64_15459
associate-/l*_binary64_15368 associate-/r*_binary64_15367
pow1_binary64_15484 associate-/r/_binary64_15369
flip3--_binary64_15427 flip--_binary64_15398 associate-*l*_binary64_15364
div-exp_binary64_15474 associate-/l/_binary64_15370 cbrt-undiv_binary64_15457 prod-exp_binary64_15472 div-inv_binary64_15420 unswap-sqr_binary64_15391 cbrt-unprod_binary64_15456 add-log-exp_binary64_15462
*-commutative_binary64_15354 frac-2neg_binary64_15434 div-sub_binary64_15428 clear-num_binary64_15422 pow-prod-down_binary64_15494 associate-*r/_binary64_15365
Counts
2 → 102
Calls

2 calls:

15.0ms
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
8.0ms
(/.f64 (-.f64 y z) (-.f64 t z))

series132.0ms (4.1%)

Counts
2 → 6
Calls

2 calls:

87.0ms
(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
45.0ms
(/.f64 (-.f64 y z) (-.f64 t z))

simplify72.0ms (2.2%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050841767

prune66.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1080108
Fresh033
Picked011
Done022
Total1086114

Merged error: 0b

Counts
114 → 6
Compiler

Compiled 1796 to 329 computations (81.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 x (-.f64 t z))
12.3b
(*.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))

rewrite26.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt_binary64_15445
40×*-un-lft-identity_binary64_15423
31×times-frac_binary64_15429
24×add-cube-cbrt_binary64_15458
21×associate-*l*_binary64_15364
add-exp-log_binary64_15461 add-cbrt-cube_binary64_15459
difference-of-squares_binary64_15392 distribute-lft-out--_binary64_15375
cancel-sign-sub-inv_binary64_15389
associate-*r*_binary64_15363 associate-/r*_binary64_15367
flip3--_binary64_15427 pow1_binary64_15484 distribute-lft-in_binary64_15372 flip--_binary64_15398 distribute-rgt-in_binary64_15373 associate-/r/_binary64_15369
associate-/l*_binary64_15368
div-exp_binary64_15474 frac-times_binary64_15433 cbrt-undiv_binary64_15457 prod-exp_binary64_15472 div-inv_binary64_15420 unswap-sqr_binary64_15391 associate-*r/_binary64_15365 sub-neg_binary64_15416 cbrt-unprod_binary64_15456 add-log-exp_binary64_15462
*-commutative_binary64_15354 frac-2neg_binary64_15434 clear-num_binary64_15422 pow-prod-down_binary64_15494 associate-*l/_binary64_15366
Counts
2 → 91
Calls

2 calls:

14.0ms
(*.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
5.0ms
(/.f64 x (-.f64 t z))

series187.0ms (5.7%)

Counts
2 → 6
Calls

2 calls:

151.0ms
(*.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
36.0ms
(/.f64 x (-.f64 t z))

simplify52.0ms (1.6%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050161470

prune57.0ms (1.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New97097
Fresh022
Picked011
Done033
Total976103

Merged error: 0b

Counts
103 → 6
Compiler

Compiled 1505 to 297 computations (80.3% saved)

regimes151.0ms (4.6%)

Compiler

Compiled 1284 to 954 computations (25.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02113
12113

end0.0ms (0%)

sample763.0ms (23.4%)

Algorithm
intervals
Results
257.0ms8000×body128valid
18.0ms610×body128invalid
Compiler

Compiled 261 to 198 computations (24.1% saved)

Profiling

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