Details

Time bar (total: 4.2s)

analyze918.0ms (21.9%)

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
2.3%97.4%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
33.2%66.5%0.2%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.5%)

Algorithm
intervals
Results
10.0ms256×body128valid
1.0ms19×body128invalid
Compiler

Compiled 23 to 26 computations (-13% saved)

simplify277.0ms (6.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (115.0ms)

IterNodesCost
0531016

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.1b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 y (-.f64 z t))
8.6b
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite21.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_15263
12×*-un-lft-identity_binary64_15242
add-exp-log_binary64_15277 add-cbrt-cube_binary64_15275
add-cube-cbrt_binary64_15274
times-frac_binary64_15248 associate-*r*_binary64_15184 associate-/r*_binary64_15188
associate-*r/_binary64_15186 pow1_binary64_15300
associate-*l*_binary64_15185 flip3--_binary64_15246 distribute-lft-out--_binary64_15196 difference-of-squares_binary64_15211 flip--_binary64_15217
associate-/l/_binary64_15191 sub-neg_binary64_15235 cbrt-undiv_binary64_15273 cbrt-unprod_binary64_15272 div-exp_binary64_15290 add-log-exp_binary64_15278 associate-/r/_binary64_15190 prod-exp_binary64_15288
distribute-rgt-in_binary64_15194 *-commutative_binary64_15175 div-inv_binary64_15239 associate-/l*_binary64_15189 frac-2neg_binary64_15253 clear-num_binary64_15241 pow-prod-down_binary64_15310 unswap-sqr_binary64_15210 distribute-lft-in_binary64_15193
Counts
2 → 53
Calls

2 calls:

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

series226.0ms (5.4%)

Counts
2 → 6
Calls

2 calls:

155.0ms
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
71.0ms
(*.f64 y (-.f64 z t))

simplify45.0ms (1.1%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04988716
14988716

prune51.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New54559
Fresh000
Picked011
Done000
Total54660

Merged error: 0.0b

Counts
60 → 6
Compiler

Compiled 975 to 286 computations (70.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 z a) (-.f64 z t))
2.2b
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite52.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
218×times-frac_binary64_15248
194×add-sqr-sqrt_binary64_15263 *-un-lft-identity_binary64_15242
90×add-cube-cbrt_binary64_15274
52×distribute-lft-out--_binary64_15196 difference-of-squares_binary64_15211
36×associate-/r*_binary64_15188
11×associate-/r/_binary64_15190
add-exp-log_binary64_15277 add-cbrt-cube_binary64_15275
associate-/l*_binary64_15189
flip3--_binary64_15246 div-inv_binary64_15239 flip--_binary64_15217
cbrt-undiv_binary64_15273 div-exp_binary64_15290
associate-/l/_binary64_15191 pow1_binary64_15300 frac-2neg_binary64_15253 clear-num_binary64_15241 add-log-exp_binary64_15278
div-sub_binary64_15247
Counts
2 → 194
Calls

2 calls:

14.0ms
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
9.0ms
(/.f64 (-.f64 z a) (-.f64 z t))

series331.0ms (7.9%)

Counts
2 → 6
Calls

2 calls:

252.0ms
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
79.0ms
(/.f64 (-.f64 z a) (-.f64 z t))

simplify92.0ms (2.2%)

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050234875

prune153.0ms (3.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1982200
Fresh314
Picked011
Done011
Total2015206

Merged error: 0b

Counts
206 → 5
Compiler

Compiled 4277 to 711 computations (83.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 z t) (-.f64 z a))
2.2b
(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite36.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt_binary64_15263
70×*-un-lft-identity_binary64_15242
51×times-frac_binary64_15248
31×associate-*r*_binary64_15184
26×add-cube-cbrt_binary64_15274
22×distribute-lft-out--_binary64_15196 difference-of-squares_binary64_15211
add-exp-log_binary64_15277 add-cbrt-cube_binary64_15275
associate-/l*_binary64_15189 associate-/r*_binary64_15188
pow1_binary64_15300 associate-/r/_binary64_15190
associate-*l*_binary64_15185 flip3--_binary64_15246 flip--_binary64_15217
associate-/l/_binary64_15191 cbrt-undiv_binary64_15273 div-inv_binary64_15239 cbrt-unprod_binary64_15272 div-exp_binary64_15290 add-log-exp_binary64_15278 unswap-sqr_binary64_15210 prod-exp_binary64_15288
*-commutative_binary64_15175 div-sub_binary64_15247 associate-*r/_binary64_15186 frac-2neg_binary64_15253 clear-num_binary64_15241 pow-prod-down_binary64_15310
Counts
2 → 102
Calls

2 calls:

17.0ms
(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
9.0ms
(/.f64 (-.f64 z t) (-.f64 z a))

series205.0ms (4.9%)

Counts
2 → 6
Calls

2 calls:

142.0ms
(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
63.0ms
(/.f64 (-.f64 z t) (-.f64 z a))

simplify51.0ms (1.2%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
053701767

prune78.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1071108
Fresh112
Picked011
Done022
Total1085113

Merged error: 0b

Counts
113 → 5
Compiler

Compiled 2000 to 414 computations (79.3% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

11.4b
(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_15263
21×associate-*l*_binary64_15185
19×*-un-lft-identity_binary64_15242
16×times-frac_binary64_15248
11×add-cube-cbrt_binary64_15274
add-exp-log_binary64_15277 add-cbrt-cube_binary64_15275
associate-*r*_binary64_15184
distribute-lft-out--_binary64_15196 difference-of-squares_binary64_15211
flip3--_binary64_15246 pow1_binary64_15300 flip--_binary64_15217
sub-neg_binary64_15235 associate-*r/_binary64_15186 cbrt-unprod_binary64_15272 unswap-sqr_binary64_15210 associate-/r/_binary64_15190 frac-times_binary64_15252 prod-exp_binary64_15288
distribute-rgt-in_binary64_15194 *-commutative_binary64_15175 cbrt-undiv_binary64_15273 div-inv_binary64_15239 div-exp_binary64_15290 pow-prod-down_binary64_15310 associate-*l/_binary64_15187 add-log-exp_binary64_15278 distribute-lft-in_binary64_15193
Counts
1 → 48
Calls

1 calls:

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

series252.0ms (6%)

Counts
1 → 3
Calls

1 calls:

252.0ms
(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

simplify59.0ms (1.4%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05462807

prune35.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New51051
Fresh011
Picked011
Done033
Total51556

Merged error: 0b

Counts
56 → 5
Compiler

Compiled 909 to 234 computations (74.3% saved)

regimes256.0ms (6.1%)

Compiler

Compiled 2456 to 1764 computations (28.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03016
13016

end0.0ms (0%)

sample976.0ms (23.3%)

Algorithm
intervals
Results
317.0ms7996×body128valid
26.0ms715×body128invalid
1.0msbody1024valid
Compiler

Compiled 363 to 265 computations (27% saved)

Profiling

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