Details

analyze477.0ms (6.8%)

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	95×	body	128	invalid

Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify237.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	1744	13
1	1744	13

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_1101`
7×	`add-sqr-sqrt_binary64_1123`
6×	`add-exp-log_binary64_1139` `associate-/l*_binary64_1046` `times-frac_binary64_1107` `add-cbrt-cube_binary64_1137`
4×	`distribute-lft-out--_binary64_1053`
3×	`add-cube-cbrt_binary64_1136`
2×	`difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052` `associate-/l/_binary64_1048` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `frac-2neg_binary64_1112` `pow1_binary64_1162` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `div-inv_binary64_1098` `associate-/r*_binary64_1045` `div-sub_binary64_1106`

Counts

1 → 30

Calls

2 calls:

10.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
0.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

series245.0ms (3.5%)

Counts

1 → 21

Calls

1 calls:

244.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

Compiler

Compiled 431 to 410 computations (4.9% saved)

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5057	720

prune45.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Error

Counts

52 → 3

Compiler

Compiled 634 to 262 computations (58.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_1101`
11×	`times-frac_binary64_1107`
8×	`add-sqr-sqrt_binary64_1123`
7×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `cancel-sign-sub-inv_binary64_1067`
6×	`add-cube-cbrt_binary64_1136`
4×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `associate-/l*_binary64_1046`
3×	`distribute-lft-out_binary64_1052` `distribute-lft-out--_binary64_1053`
2×	`pow1_binary64_1162` `associate-/l/_binary64_1048` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`diff-log_binary64_1193` `sub-div_binary64_1108` `cbrt-unprod_binary64_1134` `difference-of-squares_binary64_1070` `prod-exp_binary64_1150` `distribute-rgt-out--_binary64_1055` `frac-2neg_binary64_1112` `sub-neg_binary64_1094` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `frac-sub_binary64_1110` `flip-+_binary64_1075` `associate-/r*_binary64_1045`

Counts

2 → 50

Calls

4 calls:

13.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
7.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))
0.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))
0.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))

series533.0ms (7.6%)

Counts

2 → 36

Calls

2 calls:

390.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
143.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

Compiler

Compiled 807 to 753 computations (6.7% saved)

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5050	1132

prune67.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	86	3	89

Error

Counts

89 → 3

Compiler

Compiled 1235 to 624 computations (49.5% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1/2 (/.f64 t (-.f64 (+.f64 x y) z)))
0.0b	(/.f64 t (-.f64 (+.f64 x y) z))
0.0b	(/.f64 t (-.f64 (+.f64 x y) z))
0.3b	(/.f64 1/2 (/.f64 t (-.f64 (+.f64 x y) z)))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64_1107`
158×	`*-un-lft-identity_binary64_1101`
110×	`add-sqr-sqrt_binary64_1123`
78×	`add-cube-cbrt_binary64_1136`
32×	`distribute-lft-out--_binary64_1053`
30×	`associate-/r*_binary64_1045`
16×	`difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052`
11×	`associate-/r/_binary64_1047`
9×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
6×	`div-inv_binary64_1098` `associate-/l*_binary64_1046`
5×	`flip--_binary64_1076` `flip3--_binary64_1105`
4×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
2×	`add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `pow1_binary64_1162` `clear-num_binary64_1100`

Counts

2 → 155

Calls

4 calls:

12.0ms	(/.f64 1/2 (/.f64 t (-.f64 (+.f64 x y) z)))
8.0ms	(/.f64 t (-.f64 (+.f64 x y) z))
0.0ms	(/.f64 t (-.f64 (+.f64 x y) z))
0.0ms	(/.f64 1/2 (/.f64 t (-.f64 (+.f64 x y) z)))

series410.0ms (5.9%)

Counts

2 → 41

Calls

2 calls:

246.0ms	(/.f64 1/2 (/.f64 t (-.f64 (+.f64 x y) z)))
163.0ms	(/.f64 t (-.f64 (+.f64 x y) z))

Compiler

Compiled 1097 to 953 computations (13.1% saved)

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4984	4182
1	4984	4182

prune148.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	196	3	199

Error

Counts

199 → 3

Compiler

Compiled 3347 to 1048 computations (68.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (/.f64 1/2 t) (/.f64 1 (-.f64 (+.f64 x y) z)))
0.0b	(/.f64 1 (-.f64 (+.f64 x y) z))
0.0b	(/.f64 1 (-.f64 (+.f64 x y) z))
0.3b	(/.f64 (/.f64 1/2 t) (/.f64 1 (-.f64 (+.f64 x y) z)))

rewrite92.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

807×	`times-frac_binary64_1107`
558×	`*-un-lft-identity_binary64_1101`
420×	`add-sqr-sqrt_binary64_1123`
328×	`add-cube-cbrt_binary64_1136`
92×	`distribute-lft-out--_binary64_1053`
46×	`difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052`
41×	`div-inv_binary64_1098`
31×	`associate-/r/_binary64_1047`
30×	`associate-/r*_binary64_1045`
28×	`add-exp-log_binary64_1139`
18×	`div-exp_binary64_1152`
16×	`associate-/l*_binary64_1046` `add-cbrt-cube_binary64_1137`
15×	`flip--_binary64_1076` `flip3--_binary64_1105`
9×	`cbrt-undiv_binary64_1135`
3×	`1-exp_binary64_1145` `pow1_binary64_1162` `rec-exp_binary64_1151`
2×	`add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `clear-num_binary64_1100`
1×	`inv-pow_binary64_1186` `associate-/l/_binary64_1048` `pow-flip_binary64_1175`

Counts

2 → 418

Calls

4 calls:

20.0ms	(/.f64 (/.f64 1/2 t) (/.f64 1 (-.f64 (+.f64 x y) z)))
11.0ms	(/.f64 1 (-.f64 (+.f64 x y) z))
0.0ms	(/.f64 1 (-.f64 (+.f64 x y) z))
0.0ms	(/.f64 (/.f64 1/2 t) (/.f64 1 (-.f64 (+.f64 x y) z)))

series361.0ms (5.2%)

Counts

2 → 39

Calls

2 calls:

250.0ms	(/.f64 (/.f64 1/2 t) (/.f64 1 (-.f64 (+.f64 x y) z)))
110.0ms	(/.f64 1 (-.f64 (+.f64 x y) z))

Compiler

Compiled 1030 to 924 computations (10.3% saved)

simplify203.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

457 → 457

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4969	13687
1	4969	13687

prune521.0ms (7.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	457	0	457
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	457	3	460

Error

Counts

460 → 3

Compiler

Compiled 9919 to 4550 computations (54.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	121	327
1	121	327

regimes186.0ms (2.7%)

Compiler: Compiled 1149 to 1229 computations (-7% saved)

bsearch0.0ms (0%)

regimes224.0ms (3.2%)

Compiler: Compiled 332 to 468 computations (-41% saved)

bsearch35.0ms (0.5%)

Steps

Iters	Range		Point
7	3.6142953962509377e+47	1.0421801534037943e+49	6.660466595584249e+47
7	-1.138981455836978e-33	-2.9733642567551977e-35	-9.969725377039779e-34

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes203.0ms (2.9%)

Compiler: Compiled 248 to 368 computations (-48.4% saved)

bsearch33.0ms (0.5%)

Steps

Iters	Range		Point
7	3.6142953962509377e+47	1.0421801534037943e+49	4.603379997977828e+47
7	-1.138981455836978e-33	-2.9733642567551977e-35	-8.076273135266442e-34

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes198.0ms (2.8%)

Compiler: Compiled 192 to 304 computations (-58.3% saved)

bsearch41.0ms (0.6%)

Steps

Iters	Range		Point
7	3.6142953962509377e+47	1.0421801534037943e+49	2.2645429233024365e+48
9	-0.013941476724658387	-6.076942029609801e-09	-6.767582456960509e-06

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes180.0ms (2.6%)

Compiler: Compiled 136 to 240 computations (-76.5% saved)

bsearch80.0ms (1.2%)

Steps

Iters	Range		Point
8	1.0002891675827974e+96	3.8542330317938385e+100	1.4232674036982547e+98
9	-5.289861819036521e-47	-1.1918819841725751e-54	-5.181320044185506e-47
10	-3580006048.250775	-2.063920053962522e-05	-2.0991720734114232e-05
6	-2.1359410149806463e+69	-2.363417893086696e+68	-1.4435994313317343e+69

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes172.0ms (2.5%)

Compiler: Compiled 108 to 208 computations (-92.6% saved)

bsearch77.0ms (1.1%)

Steps

Iters	Range		Point
8	1.0002891675827974e+96	3.8542330317938385e+100	1.2405534337742625e+99
9	-5.289861819036521e-47	-1.1918819841725751e-54	-5.181320044185506e-47
10	-3580006048.250775	-2.063920053962522e-05	-2.0991720734114232e-05
6	-2.1359410149806463e+69	-2.363417893086696e+68	-1.6130218207256159e+69

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes248.0ms (3.6%)

Compiler: Compiled 80 to 176 computations (-120% saved)

bsearch106.0ms (1.5%)

Steps

Iters	Range		Point
7	3.6142953962509377e+47	1.0421801534037943e+49	3.9176844654423535e+47
8	4.1515408373567887e-255	2.1024659584836889e-252	2.045059115964639e-252
8	-1.2700259976285804e-176	-2.764322996019804e-179	-8.048573680854262e-178
4	-1.6450493063127305e-149	-1.0310739926669811e-149	-1.2421280067327076e-149
8	-8.482574874288448e-138	-2.512421077459044e-141	-4.373394034678171e-141
9	-0.013941476724658387	-6.076942029609801e-09	-0.0054705429156708275

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes133.0ms (1.9%)

Compiler: Compiled 60 to 148 computations (-146.7% saved)

bsearch47.0ms (0.7%)

Steps

Iters	Range		Point
8	2.8784403988103646e+100	3.155945607717761e+103	2.9130137260212836e+100
10	-7.421384521217781e+50	-8.589904301299905e+31	-2.612609035955256e+38

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes40.0ms (0.6%)

Compiler: Compiled 40 to 120 computations (-200% saved)

bsearch0.0ms (0%)

regimes35.0ms (0.5%)

Accuracy

Total 0.1b remaining (95.6%)

Threshold costs 0.1b (95.6%)

Compiler

Compiled 20 to 92 computations (-360% saved)

bsearch14.0ms (0.2%)

Compiler: Compiled 275 to 205 computations (25.5% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	157	343
1	157	343

end0.0ms (0%)

sample1.2s (17.7%)

Algorithm

1×

intervals

Results

276.0ms	8000×	body	128	valid
90.0ms	2693×	body	128	invalid

Compiler

Compiled 472 to 446 computations (5.5% saved)

Pareto

0.27907481029231074

Details

analyze477.0ms (6.8%)

sample23.0ms (0.3%)

simplify237.0ms (3.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite12.0ms (0.2%)

series245.0ms (3.5%)

simplify58.0ms (0.8%)

prune45.0ms (0.6%)

localize10.0ms (0.1%)

rewrite24.0ms (0.4%)

series533.0ms (7.6%)

simplify58.0ms (0.8%)

prune67.0ms (1%)

localize7.0ms (0.1%)

rewrite36.0ms (0.5%)

series410.0ms (5.9%)

simplify89.0ms (1.3%)

prune148.0ms (2.1%)

localize8.0ms (0.1%)

rewrite92.0ms (1.3%)

series361.0ms (5.2%)

simplify203.0ms (2.9%)

prune521.0ms (7.5%)

simplify7.0ms (0.1%)

regimes186.0ms (2.7%)

bsearch0.0ms (0%)

regimes224.0ms (3.2%)

bsearch35.0ms (0.5%)

regimes203.0ms (2.9%)

bsearch33.0ms (0.5%)

regimes198.0ms (2.8%)

bsearch41.0ms (0.6%)

regimes180.0ms (2.6%)

bsearch80.0ms (1.2%)

regimes172.0ms (2.5%)

bsearch77.0ms (1.1%)

regimes248.0ms (3.6%)

bsearch106.0ms (1.5%)

regimes133.0ms (1.9%)

bsearch47.0ms (0.7%)

regimes40.0ms (0.6%)

bsearch0.0ms (0%)

regimes35.0ms (0.5%)

bsearch14.0ms (0.2%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.2s (17.7%)

Profiling