Details

Time bar (total: 7.5s)

analyze1.8s (23.8%)

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
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample44.0ms (0.6%)

Algorithm
intervals
Results
16.0ms256×body128valid
4.0ms65×body128invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify260.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
071913
171913

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.4b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 y (-.f64 z t))
6.5b
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite42.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_9307
10×*-un-lft-identity_binary64_9285
add-cbrt-cube_binary64_9321 add-exp-log_binary64_9323
add-cube-cbrt_binary64_9320
cancel-sign-sub-inv_binary64_9251
associate-*r*_binary64_9225
distribute-lft-in_binary64_9234 distribute-rgt-in_binary64_9235 pow1_binary64_9346 associate-*r/_binary64_9227
associate-*l*_binary64_9226 times-frac_binary64_9291 associate-/r*_binary64_9229
associate-/l/_binary64_9232 cbrt-unprod_binary64_9318 prod-exp_binary64_9334 div-exp_binary64_9336 sub-neg_binary64_9278 cbrt-undiv_binary64_9319 flip--_binary64_9260 flip3--_binary64_9289 add-log-exp_binary64_9324
clear-num_binary64_9284 pow-prod-down_binary64_9356 unswap-sqr_binary64_9253 frac-2neg_binary64_9296 *-commutative_binary64_9216 associate-/l*_binary64_9230 difference-of-squares_binary64_9254 distribute-lft-out--_binary64_9237 div-inv_binary64_9282
Counts
2 → 53
Calls

2 calls:

15.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
14.0ms
(*.f64 y (-.f64 z t))

series155.0ms (2.1%)

Counts
2 → 6
Calls

2 calls:

101.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
54.0ms
(*.f64 y (-.f64 z t))

simplify111.0ms (1.5%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
04968626
14968626

prune94.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New53659
Fresh000
Picked101
Done000
Total54660

Merged error: 0b

Counts
60 → 6
Compiler

Compiled 836 to 260 computations (68.9% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
4.0b
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite73.0ms (1%)

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt_binary64_9307
40×times-frac_binary64_9291
38×*-un-lft-identity_binary64_9285
34×associate-*r*_binary64_9225
26×cbrt-prod_binary64_9316 add-cube-cbrt_binary64_9320
25×add-exp-log_binary64_9323
18×add-cbrt-cube_binary64_9321
cbrt-unprod_binary64_9318 prod-exp_binary64_9334
div-exp_binary64_9336 cbrt-undiv_binary64_9319 associate-*l*_binary64_9226
unswap-sqr_binary64_9253 pow1_binary64_9346 difference-of-squares_binary64_9254 distribute-lft-out--_binary64_9237
add-log-exp_binary64_9324
pow1/3_binary64_9367
div-inv_binary64_9282
associate-*l/_binary64_9228 frac-times_binary64_9295 pow-prod-down_binary64_9356 associate-*r/_binary64_9227 *-commutative_binary64_9216
Counts
4 → 104
Calls

4 calls:

43.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
6.0ms
(cbrt.f64 a)
2.0ms
(cbrt.f64 a)
2.0ms
(cbrt.f64 a)

series718.0ms (9.6%)

Counts
4 → 12
Calls

4 calls:

242.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
164.0ms
(cbrt.f64 a)
160.0ms
(cbrt.f64 a)
151.0ms
(cbrt.f64 a)

simplify135.0ms (1.8%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
049331660
149331660

prune168.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh235
Picked011
Done000
Total1175122

Merged error: 0b

Counts
122 → 5
Compiler

Compiled 2319 to 692 computations (70.2% saved)

localize23.0ms (0.3%)

Local error

Found 1 expressions with local error:

6.3b
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))

rewrite60.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt_binary64_9307
38×times-frac_binary64_9291
33×*-un-lft-identity_binary64_9285
26×cancel-sign-sub-inv_binary64_9251
25×add-cube-cbrt_binary64_9320
14×distribute-lft-in_binary64_9234 distribute-rgt-in_binary64_9235
13×associate-*l*_binary64_9226
12×associate-*r*_binary64_9225
add-cbrt-cube_binary64_9321 add-exp-log_binary64_9323
div-inv_binary64_9282
frac-times_binary64_9295 associate-*r/_binary64_9227 difference-of-squares_binary64_9254 distribute-lft-out--_binary64_9237
pow1_binary64_9346
cbrt-unprod_binary64_9318 prod-exp_binary64_9334 frac-sub_binary64_9294 sub-neg_binary64_9278 unswap-sqr_binary64_9253 flip--_binary64_9260 flip3--_binary64_9289 sub-div_binary64_9292
associate-*l/_binary64_9228 div-exp_binary64_9336 pow-prod-down_binary64_9356 distribute-rgt-out--_binary64_9239 cbrt-undiv_binary64_9319 add-log-exp_binary64_9324 *-commutative_binary64_9216
Counts
1 → 77
Calls

1 calls:

45.0ms
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))

series111.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

111.0ms
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))

simplify121.0ms (1.6%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
052741430

prune136.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh033
Picked011
Done011
Total80585

Merged error: 0b

Counts
85 → 5
Compiler

Compiled 1469 to 755 computations (48.6% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 a (-.f64 z t))
4.5b
(/.f64 y (/.f64 a (-.f64 z t)))

rewrite54.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64_9291
102×add-sqr-sqrt_binary64_9307 *-un-lft-identity_binary64_9285
70×add-cube-cbrt_binary64_9320
26×associate-/r*_binary64_9229
16×difference-of-squares_binary64_9254 distribute-lft-out--_binary64_9237
11×associate-/r/_binary64_9231
add-cbrt-cube_binary64_9321 add-exp-log_binary64_9323
associate-/l*_binary64_9230 div-inv_binary64_9282
flip--_binary64_9260 flip3--_binary64_9289
div-exp_binary64_9336 cbrt-undiv_binary64_9319
clear-num_binary64_9284 pow1_binary64_9346 frac-2neg_binary64_9296 add-log-exp_binary64_9324
Counts
2 → 139
Calls

2 calls:

18.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
10.0ms
(/.f64 a (-.f64 z t))

series177.0ms (2.4%)

Counts
2 → 6
Calls

2 calls:

118.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
58.0ms
(/.f64 a (-.f64 z t))

simplify155.0ms (2.1%)

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (98.0ms)

IterNodesCost
054452835

prune173.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1450145
Fresh022
Picked011
Done022
Total1455150

Merged error: 0b

Counts
150 → 5
Compiler

Compiled 2561 to 524 computations (79.5% saved)

regimes850.0ms (11.4%)

Compiler

Compiled 2371 to 2042 computations (13.9% saved)

bsearch60.0ms (0.8%)

Steps
ItersRangePoint
6
1.8315202505455962e+59
8.092848153599822e+59
1.8486538021209086e+59
7
-2.915809425939207e+56
-6.984700068136983e+54
-1.5168454939763745e+56
Compiler

Compiled 1 to 5 computations (-400% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05954
15954

end0.0ms (0%)

sample1.9s (25.8%)

Algorithm
intervals
Results
553.0ms8000×body128valid
178.0ms2559×body128invalid
Compiler

Compiled 304 to 245 computations (19.4% saved)

Profiling

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