Details

analyze483.0ms (9.5%)

Algorithm

1×

Search

True	Other	False	Iter
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
12.5%	87.3%	0.2%	7
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	47×	body	128	invalid

Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify125.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	417	16
1	417	16

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
0.0b	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
0.0b	(/.f64 (*.f64 y z) 2)
0.0b	(/.f64 (*.f64 y z) 2)
0.0b	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
0.0b	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cancel-sign-sub-inv_binary64_20845`
11×	`*-un-lft-identity_binary64_20879`
10×	`add-log-exp_binary64_20918`
9×	`add-sqr-sqrt_binary64_20901` `times-frac_binary64_20885` `add-cube-cbrt_binary64_20914`
8×	`add-cbrt-cube_binary64_20915` `associate-+l+_binary64_20812` `add-exp-log_binary64_20917`
3×	`associate-/r*_binary64_20823` `div-inv_binary64_20876` `pow1_binary64_20940`
2×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `sum-log_binary64_20970` `sub-neg_binary64_20872` `diff-log_binary64_20971`
1×	`flip3--_binary64_20883` `associate-/l*_binary64_20824` `flip--_binary64_20854` `frac-2neg_binary64_20890` `+-commutative_binary64_20809` `associate-+l-_binary64_20814` `flip3-+_binary64_20882` `clear-num_binary64_20878` `distribute-lft-out_binary64_20830` `flip-+_binary64_20853` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`

Counts

3 → 61

Calls

6 calls:

9.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
6.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
4.0ms	(/.f64 (*.f64 y z) 2)
0.0ms	(/.f64 (*.f64 y z) 2)
0.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))

series410.0ms (8.1%)

Counts

3 → 48

Calls

3 calls:

209.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
147.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
54.0ms	(/.f64 (*.f64 y z) 2)

Compiler

Compiled 703 to 742 computations (-5.5% saved)

simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4931	1345
1	4931	1345

prune90.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	2	110

Error

0.0b

Counts

110 → 2

Compiler

Compiled 1380 to 835 computations (39.5% saved)

localize15.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
0.0b	(/.f64 (*.f64 y z) 2)
0.0b	(/.f64 (*.f64 y z) 2)
0.0b	(/.f64 (*.f64 y z) 2)
0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (*.f64 y z) 2))))
0.6b	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
0.6b	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
0.6b	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))

rewrite42.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_20910`
23×	`add-sqr-sqrt_binary64_20901`
18×	`cbrt-div_binary64_20911`
15×	`add-cube-cbrt_binary64_20914` `*-un-lft-identity_binary64_20879`
11×	`pow1_binary64_20940`
9×	`flip3--_binary64_20883` `flip--_binary64_20854` `pow1/3_binary64_20961`
6×	`associate-l_binary64_20820` `swap-sqr_binary64_20846` `add-exp-log_binary64_20917` `associate-r_binary64_20819`
4×	`add-cbrt-cube_binary64_20915` `unswap-sqr_binary64_20847` `add-log-exp_binary64_20918` `frac-times_binary64_20889`
2×	`pow-prod-down_binary64_20950` `pow-sqr_binary64_20852` `pow-prod-up_binary64_20949` `associate-r/_binary64_20821` `associate-l/_binary64_20822`
1×	`pow2_binary64_20960` `*-commutative_binary64_20810` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `pow-plus_binary64_20942`

Counts

4 → 87

Calls

8 calls:

15.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (*.f64 y z) 2))))
5.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
5.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
5.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
0.0ms	(/.f64 (*.f64 y z) 2)

series1.0s (19.9%)

Counts

4 → 68

Calls

4 calls:

283.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (*.f64 y z) 2))))
252.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
238.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
237.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))

Compiler

Compiled 5459 to 4571 computations (16.3% saved)

simplify69.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5077	4460

prune334.0ms (6.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	155	2	157

Error

0.0b

Counts

157 → 2

Compiler

Compiled 6375 to 4115 computations (35.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	72	182
1	72	182

regimes135.0ms (2.7%)

Compiler: Compiled 714 to 818 computations (-14.6% saved)

bsearch0.0ms (0%)

regimes273.0ms (5.4%)

Compiler: Compiled 280 to 506 computations (-80.7% saved)

bsearch71.0ms (1.4%)

Steps

Iters	Range		Point
9	5.086140650546861e-27	2.7296341899202667e-19	1.532489665290679e-21
7	-1.832958850635182e-84	-2.019247454527515e-86	-1.0788721107487467e-85
8	-2.375023185594332e-50	-1.1918819841725751e-54	-5.057484727556827e-53
8	-1.2704903022635546e+51	-1.3425354488319884e+48	-8.176580002721973e+48

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes141.0ms (2.8%)

Compiler: Compiled 76 to 188 computations (-147.4% saved)

bsearch67.0ms (1.3%)

Steps

Iters	Range		Point
9	8.877100033570507e-127	4.052937950141009e-119	9.794390896182257e-127
9	7.324286277568908e-238	3.402966252055208e-232	1.9610474508382725e-234
6	-5.25578900160659e-227	-9.036439074366918e-228	-5.172269849145321e-227
7	-1.832958850635182e-84	-2.019247454527515e-86	-3.855393177388864e-86

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes232.0ms (4.6%)

Compiler: Compiled 56 to 160 computations (-185.7% saved)

bsearch95.0ms (1.9%)

Steps

Iters	Range		Point
4	1.6573955217207114e+17	2.924130430065434e+17	2.2413743845662883e+17
6	1.2883332477468588e-192	7.221092873405866e-192	1.4812177819861442e-192
8	2.7290839209077204e-236	1.4291250369296403e-232	1.3706893997187718e-232
8	-2.9512109312094647e-302	-6.483340320508212e-307	-1.621723876421443e-302
7	-8.29106078807745e+26	-8.611071368924328e+24	-1.434722951148415e+26
6	-1.422916895455044e+28	-2.0552476276716293e+27	-8.951365269554362e+27
7	-1.399652141053259e+118	-6.206991662370005e+115	-6.56771827726143e+115

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes183.0ms (3.6%)

Compiler: Compiled 36 to 132 computations (-266.7% saved)

bsearch53.0ms (1.1%)

Steps

Iters	Range		Point
4	1.6573955217207114e+17	2.924130430065434e+17	1.929918991048647e+17
7	-2.5580367905460724e-21	-7.088102799588027e-23	-1.9763065278790593e-21
6	-1.422916895455044e+28	-2.0552476276716293e+27	-3.836583348485561e+27
7	-1.399652141053259e+118	-6.206991662370005e+115	-6.327233867333813e+115

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes40.0ms (0.8%)

Compiler: Compiled 24 to 108 computations (-350% saved)

bsearch0.0ms (0%)

regimes35.0ms (0.7%)

Compiler: Compiled 20 to 92 computations (-360% saved)

bsearch0.0ms (0%)

regimes33.0ms (0.6%)

Accuracy

Total 0.0b remaining (86.9%)

Threshold costs 0.0b (86.9%)

Compiler

Compiled 16 to 72 computations (-350% saved)

bsearch8.0ms (0.2%)

Compiler: Compiled 171 to 143 computations (16.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	154	220
1	154	220

end0.0ms (0%)

sample991.0ms (19.5%)

Algorithm

1×

intervals

Results

302.0ms	7996×	body	128	valid
50.0ms	1108×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 293 to 290 computations (1% saved)

Pareto

0.27336889627551536

Details

analyze483.0ms (9.5%)

sample22.0ms (0.4%)

simplify125.0ms (2.5%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite23.0ms (0.4%)

series410.0ms (8.1%)

simplify71.0ms (1.4%)

prune90.0ms (1.8%)

localize15.0ms (0.3%)

rewrite42.0ms (0.8%)

series1.0s (19.9%)

simplify69.0ms (1.4%)

prune334.0ms (6.6%)

simplify5.0ms (0.1%)

regimes135.0ms (2.7%)

bsearch0.0ms (0%)

regimes273.0ms (5.4%)

bsearch71.0ms (1.4%)

regimes141.0ms (2.8%)

bsearch67.0ms (1.3%)

regimes232.0ms (4.6%)

bsearch95.0ms (1.9%)

regimes183.0ms (3.6%)

bsearch53.0ms (1.1%)

regimes40.0ms (0.8%)

bsearch0.0ms (0%)

regimes35.0ms (0.7%)

bsearch0.0ms (0%)

regimes33.0ms (0.6%)

bsearch8.0ms (0.2%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample991.0ms (19.5%)

Profiling