Details

Time bar (total: 3.5s)

analyze610.0ms (17.3%)

Algorithm
1×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
3.1%96.7%0.2%8
17.2%82.7%0.2%9
21.8%78%0.2%10
30%68.8%1.2%11
31.8%65.3%2.9%12
40.1%55.3%4.6%13
44.5%50.1%5.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.6%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
2.0ms68×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify210.0ms (6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
070413
170413

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 1.6b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.6b
(*.f64 (/.f64 x y) (-.f64 z t))

rewrite15.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_14589
13×associate-*l*_binary64_14511
11×*-un-lft-identity_binary64_14568
10×times-frac_binary64_14574
9×add-cube-cbrt_binary64_14600
6×add-cbrt-cube_binary64_14601 add-exp-log_binary64_14603
5×associate-*r*_binary64_14510
3×pow1_binary64_14626
2×cbrt-unprod_binary64_14598 prod-exp_binary64_14614 frac-times_binary64_14578 sub-neg_binary64_14561 flip3--_binary64_14572 flip--_binary64_14543 unswap-sqr_binary64_14536 associate-*r/_binary64_14512
1×div-exp_binary64_14616 difference-of-squares_binary64_14537 distribute-lft-in_binary64_14519 div-inv_binary64_14565 *-commutative_binary64_14501 associate-*l/_binary64_14513 distribute-rgt-in_binary64_14520 pow-prod-down_binary64_14636 distribute-lft-out--_binary64_14522 add-log-exp_binary64_14604 cbrt-undiv_binary64_14599
Counts
1 → 40
Calls

1 calls:

11.0ms
(*.f64 (/.f64 x y) (-.f64 z t))

series138.0ms (3.9%)

Counts
1 → 3
Calls

1 calls:

138.0ms
(*.f64 (/.f64 x y) (-.f64 z t))

simplify53.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05099578

prune45.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New38543
Fresh000
Picked011
Done000
Total38644

Merged error: 0b

Counts
44 → 6
Compiler

Compiled 711 to 229 computations (67.8% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
2.1b
(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
4.7b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))

rewrite49.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
66×add-exp-log_binary64_14603
35×add-cbrt-cube_binary64_14601
33×prod-exp_binary64_14614
32×add-sqr-sqrt_binary64_14589
24×*-un-lft-identity_binary64_14568
23×associate-*r*_binary64_14510 times-frac_binary64_14574
22×add-cube-cbrt_binary64_14600
20×cbrt-unprod_binary64_14598
18×div-exp_binary64_14616
16×cbrt-prod_binary64_14596
12×associate-*l*_binary64_14511
11×pow1_binary64_14626 frac-times_binary64_14578
10×cbrt-undiv_binary64_14599
8×associate-*r/_binary64_14512
7×associate-*l/_binary64_14513
6×1-exp_binary64_14609 flip3--_binary64_14572 flip--_binary64_14543
4×pow-prod-down_binary64_14636 add-log-exp_binary64_14604
3×unswap-sqr_binary64_14536
2×div-inv_binary64_14565 *-commutative_binary64_14501 pow1/3_binary64_14647
1×difference-of-squares_binary64_14537 distribute-lft-out--_binary64_14522
Counts
4 → 123
Calls

4 calls:

18.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))
14.0ms
(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series705.0ms (20%)

Counts
4 → 12
Calls

4 calls:

215.0ms
(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
197.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))
149.0ms
(cbrt.f64 x)
144.0ms
(cbrt.f64 x)

simplify70.0ms (2%)

Algorithm
1×egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049521735
149521735

prune109.0ms (3.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh044
Picked011
Done011
Total1356141

Merged error: 0b

Counts
141 → 6
Compiler

Compiled 2711 to 823 computations (69.6% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite26.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64_14589
36×*-un-lft-identity_binary64_14568
31×times-frac_binary64_14574
22×add-cube-cbrt_binary64_14600
19×associate-*r*_binary64_14510
9×add-cbrt-cube_binary64_14601 add-exp-log_binary64_14603
7×difference-of-squares_binary64_14537 distribute-lft-out--_binary64_14522
5×associate-/l*_binary64_14515
4×pow1_binary64_14626
3×associate-*l*_binary64_14511 associate-/r*_binary64_14514
2×div-exp_binary64_14616 associate-/l/_binary64_14517 div-inv_binary64_14565 cbrt-unprod_binary64_14598 prod-exp_binary64_14614 add-log-exp_binary64_14604 cbrt-undiv_binary64_14599 unswap-sqr_binary64_14536
1×frac-2neg_binary64_14579 clear-num_binary64_14567 *-commutative_binary64_14501 div-sub_binary64_14573 pow-prod-down_binary64_14636 flip3--_binary64_14572 flip--_binary64_14543 associate-*r/_binary64_14512
Counts
2 → 76
Calls

2 calls:

13.0ms
(*.f64 x (/.f64 (-.f64 z t) y))
7.0ms
(/.f64 (-.f64 z t) y)

series153.0ms (4.4%)

Counts
2 → 6
Calls

2 calls:

107.0ms
(*.f64 x (/.f64 (-.f64 z t) y))
47.0ms
(/.f64 (-.f64 z t) y)

simplify59.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051471073

prune58.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New80282
Fresh213
Picked101
Done022
Total83588

Merged error: 0b

Counts
88 → 5
Compiler

Compiled 1265 to 317 computations (74.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite41.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
34×add-sqr-sqrt_binary64_14589
24×*-un-lft-identity_binary64_14568
20×times-frac_binary64_14574
12×associate-*r*_binary64_14510
8×difference-of-squares_binary64_14537 add-cube-cbrt_binary64_14600 distribute-lft-out--_binary64_14522
4×pow1_binary64_14626 add-cbrt-cube_binary64_14601 div-inv_binary64_14565 add-log-exp_binary64_14604 add-exp-log_binary64_14603 associate-*r/_binary64_14512
3×associate-*l*_binary64_14511 sub-neg_binary64_14561
2×distribute-rgt-out--_binary64_14524 sub-div_binary64_14575 flip3--_binary64_14572 flip--_binary64_14543 frac-sub_binary64_14577
1×diff-log_binary64_14657 distribute-lft-in_binary64_14519 cbrt-unprod_binary64_14598 *-commutative_binary64_14501 prod-exp_binary64_14614 distribute-rgt-in_binary64_14520 pow-prod-down_binary64_14636 unswap-sqr_binary64_14536
Counts
2 → 55
Calls

2 calls:

20.0ms
(*.f64 x (-.f64 (/.f64 z y) (/.f64 t y)))
16.0ms
(-.f64 (/.f64 z y) (/.f64 t y))

series150.0ms (4.3%)

Counts
2 → 6
Calls

2 calls:

106.0ms
(*.f64 x (-.f64 (/.f64 z y) (/.f64 t y)))
44.0ms
(-.f64 (/.f64 z y) (/.f64 t y))

simplify52.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05127887

prune42.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New61061
Fresh022
Picked011
Done022
Total61566

Merged error: 0b

Counts
66 → 5
Compiler

Compiled 1025 to 230 computations (77.6% saved)

regimes106.0ms (3%)

Compiler

Compiled 380 to 346 computations (8.9% saved)

bsearch20.0ms (0.6%)

Steps
ItersRangePoint
9
4.3185711106502874e-102
8.525868146495486e-96
3.388947503812638e-96
Compiler

Compiled 1 to 4 computations (-300% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04135
14135

end0.0ms (0%)

sample744.0ms (21.1%)

Algorithm
1×intervals
Results
273.0ms8000×body128valid
71.0ms2132×body128invalid
Compiler

Compiled 127 to 94 computations (26% saved)

Profiling

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