Details

analyze1.1s (13.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4903	176
1	4903	176
0	5	5
1	5	5

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
0%	99.8%	0.2%	9
13.2%	86.5%	0.2%	10
17%	82.8%	0.2%	11
18.2%	81.5%	0.2%	12
21.7%	78.1%	0.2%	13
32.9%	66.9%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	28×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify171.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (166.0ms)

Iter	Nodes	Cost
0	4973	16
1	4973	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

11.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 t (*.f64 a z))
0.0b	(-.f64 x (*.f64 y z))
10.6b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

rewrite67.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

10.9b

Rules

11×	`add-cube-cbrt_binary64_14776` `add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741`
9×	`times-frac_binary64_14747`
7×	`add-log-exp_binary64_14780`
5×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
4×	`flip3--_binary64_14745` `flip--_binary64_14716`
3×	`pow1_binary64_14802` `associate-/l_binary64_14686` `associate-/r_binary64_14685`
2×	`associate-/l/_binary64_14688` `associate-/r/_binary64_14687` `diff-log_binary64_14833` `sub-neg_binary64_14734` `cancel-sign-sub-inv_binary64_14707`
1×	`div-exp_binary64_14792` `cbrt-undiv_binary64_14775` `frac-2neg_binary64_14752` `div-sub_binary64_14746` `clear-num_binary64_14740` `div-inv_binary64_14738`

Counts

3 → 56

Calls

3 calls:

6.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
3.0ms	(-.f64 x (*.f64 y z))
3.0ms	(-.f64 t (*.f64 a z))

Compiler

Compiled 1164 to 205 computations (82.4% saved)

series557.0ms (7%)

Error

4.0b

Counts

3 → 66

Calls

3 calls:

357.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
82.0ms	(-.f64 t (*.f64 a z))
78.0ms	(-.f64 x (*.f64 y z))

Compiler

Compiled 2441 to 1502 computations (38.5% saved)

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5036	1853

prune88.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	8	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Error

3.9b

Counts

123 → 9

Compiler

Compiled 1920 to 319 computations (83.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 t (*.f64 z a))
0.0b	(-.f64 x (*.f64 y z))
0.4b	(/.f64 1 (-.f64 t (*.f64 z a)))
10.3b	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

rewrite108.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

27×	`add-sqr-sqrt_binary64_14763`
21×	`*-un-lft-identity_binary64_14741`
20×	`add-cube-cbrt_binary64_14776` `times-frac_binary64_14747`
17×	`add-exp-log_binary64_14779`
15×	`associate-r_binary64_14681`
11×	`add-cbrt-cube_binary64_14777`
8×	`add-log-exp_binary64_14780`
7×	`pow1_binary64_14802`
6×	`flip3--_binary64_14745` `flip--_binary64_14716`
4×	`div-exp_binary64_14792` `prod-exp_binary64_14790` `associate-/r/_binary64_14687`
3×	`unswap-sqr_binary64_14709` `associate-l_binary64_14682` `associate-/l_binary64_14686` `associate-/r_binary64_14685`
2×	`1-exp_binary64_14785` `rec-exp_binary64_14791` `cbrt-unprod_binary64_14774` `cbrt-undiv_binary64_14775` `frac-times_binary64_14751` `associate-*l/_binary64_14684` `div-inv_binary64_14738` `diff-log_binary64_14833` `sub-neg_binary64_14734` `cancel-sign-sub-inv_binary64_14707`
1×	`pow-prod-down_binary64_14812` `un-div-inv_binary64_14739` `associate-r/_binary64_14683` `-commutative_binary64_14672` `inv-pow_binary64_14826` `pow-flip_binary64_14815` `frac-2neg_binary64_14752` `clear-num_binary64_14740`

Counts

4 → 99

Calls

4 calls:

12.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
5.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
3.0ms	(-.f64 t (*.f64 z a))
3.0ms	(-.f64 x (*.f64 y z))

Compiler

Compiled 2207 to 663 computations (70% saved)

series666.0ms (8.4%)

Error

3.9b

Counts

4 → 84

Calls

4 calls:

356.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
94.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
85.0ms	(-.f64 t (*.f64 z a))
80.0ms	(-.f64 x (*.f64 y z))

Compiler

Compiled 3445 to 2303 computations (33.1% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5123	2666

prune123.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	180	3	183
Fresh	5	2	7
Picked	0	1	1
Done	0	1	1
Total	185	7	192

Error

0.7b

Counts

192 → 7

Compiler

Compiled 3096 to 762 computations (75.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.1b	(cbrt.f64 (-.f64 x (*.f64 z y)))
8.1b	(cbrt.f64 (-.f64 x (*.f64 z y)))
8.1b	(cbrt.f64 (-.f64 x (*.f64 z y)))
10.3b	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 z y))) (cbrt.f64 (-.f64 x (.f64 z y)))) (cbrt.f64 (-.f64 x (.f64 z y)))) (/.f64 1 (-.f64 t (*.f64 z a))))

rewrite235.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

114×	`cbrt-div_binary64_14773`
82×	`frac-times_binary64_14751`
58×	`flip3--_binary64_14745` `flip--_binary64_14716`
54×	`associate-*l/_binary64_14684`
43×	`add-exp-log_binary64_14779`
24×	`prod-exp_binary64_14790`
17×	`add-cbrt-cube_binary64_14777` `associate-*r/_binary64_14683`
15×	`associate-r_binary64_14681`
14×	`add-cube-cbrt_binary64_14776` `add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741`
13×	`pow1_binary64_14802`
12×	`cbrt-unprod_binary64_14774`
9×	`times-frac_binary64_14747` `cbrt-prod_binary64_14772`
6×	`pow-prod-down_binary64_14812` `div-exp_binary64_14792`
4×	`add-log-exp_binary64_14780`
3×	`1-exp_binary64_14785` `rec-exp_binary64_14791` `cbrt-undiv_binary64_14775` `pow1/3_binary64_14823`
2×	`associate-/r/_binary64_14687`
1×	`un-div-inv_binary64_14739` `associate-l_binary64_14682` `div-inv_binary64_14738` `*-commutative_binary64_14672`

Counts

4 → 138

Calls

4 calls:

26.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 z y))) (cbrt.f64 (-.f64 x (.f64 z y)))) (cbrt.f64 (-.f64 x (.f64 z y)))) (/.f64 1 (-.f64 t (*.f64 z a))))
2.0ms	(cbrt.f64 (-.f64 x (*.f64 z y)))
2.0ms	(cbrt.f64 (-.f64 x (*.f64 z y)))
2.0ms	(cbrt.f64 (-.f64 x (*.f64 z y)))

Compiler

Compiled 6776 to 1208 computations (82.2% saved)

series995.0ms (12.5%)

Error

0.7b

Counts

4 → 78

Calls

4 calls:

380.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 z y))) (cbrt.f64 (-.f64 x (.f64 z y)))) (cbrt.f64 (-.f64 x (.f64 z y)))) (/.f64 1 (-.f64 t (*.f64 z a))))
183.0ms	(cbrt.f64 (-.f64 x (*.f64 z y)))
180.0ms	(cbrt.f64 (-.f64 x (*.f64 z y)))
169.0ms	(cbrt.f64 (-.f64 x (*.f64 z y)))

Compiler

Compiled 6812 to 4149 computations (39.1% saved)

simplify123.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4961	6403
1	4961	6403

prune203.0ms (2.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	216	7	223

Error

0.7b

Counts

223 → 7

Compiler

Compiled 7310 to 1360 computations (81.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 t z) a)
3.9b	(/.f64 (neg.f64 y) (-.f64 (/.f64 t z) a))

rewrite113.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

95×	`add-sqr-sqrt_binary64_14763`
72×	`times-frac_binary64_14747`
59×	`*-un-lft-identity_binary64_14741`
35×	`add-cube-cbrt_binary64_14776`
24×	`difference-of-squares_binary64_14710`
21×	`distribute-rgt-neg-in_binary64_14699` `distribute-lft-neg-in_binary64_14698`
12×	`distribute-lft-out--_binary64_14693`
10×	`associate-/l*_binary64_14686`
7×	`neg-mul-1_binary64_14737`
6×	`associate-/r*_binary64_14685`
4×	`add-exp-log_binary64_14779` `add-log-exp_binary64_14780` `add-cbrt-cube_binary64_14777`
3×	`cancel-sign-sub-inv_binary64_14707`
2×	`pow1_binary64_14802` `flip3--_binary64_14745` `associate-/r/_binary64_14687` `flip--_binary64_14716`
1×	`div-exp_binary64_14792` `cbrt-undiv_binary64_14775` `frac-2neg_binary64_14752` `neg-sub0_binary64_14736` `div-sub_binary64_14746` `clear-num_binary64_14740` `div-inv_binary64_14738` `distribute-frac-neg_binary64_14704` `diff-log_binary64_14833` `sub-neg_binary64_14734`

Counts

2 → 109

Calls

2 calls:

11.0ms	(/.f64 (neg.f64 y) (-.f64 (/.f64 t z) a))
8.0ms	(-.f64 (/.f64 t z) a)

Compiler

Compiled 1962 to 382 computations (80.5% saved)

series321.0ms (4%)

Error

0.7b

Counts

2 → 43

Calls

2 calls:

207.0ms	(/.f64 (neg.f64 y) (-.f64 (/.f64 t z) a))
88.0ms	(-.f64 (/.f64 t z) a)

Compiler

Compiled 1340 to 1028 computations (23.3% saved)

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4944	2990
1	4944	2990

prune93.0ms (1.2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	148	4	152
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	148	11	159

Error

0.7b

Counts

159 → 11

Compiler

Compiled 2284 to 344 computations (84.9% saved)

regimes986.0ms (12.4%)

Accuracy

Total 0.5b remaining (29.8%)

Threshold costs 0.5b (29.8%)

Compiler

Compiled 8198 to 5526 computations (32.6% saved)

bsearch4.0ms (0%)

Compiler: Compiled 11 to 10 computations (9.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	95	162
1	95	162

end0.0ms (0%)

sample1.8s (22%)

Algorithm

1×

intervals

Results

304.0ms	8000×	body	128	valid
28.0ms	715×	body	128	invalid

Compiler

Compiled 1511 to 969 computations (35.9% saved)

Details

analyze1.1s (13.5%)

sample26.0ms (0.3%)

simplify171.0ms (2.1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite67.0ms (0.8%)

series557.0ms (7%)

simplify63.0ms (0.8%)

prune88.0ms (1.1%)

localize10.0ms (0.1%)

rewrite108.0ms (1.4%)

series666.0ms (8.4%)

simplify74.0ms (0.9%)

prune123.0ms (1.5%)

localize14.0ms (0.2%)

rewrite235.0ms (3%)

series995.0ms (12.5%)

simplify123.0ms (1.5%)

prune203.0ms (2.5%)

localize6.0ms (0.1%)

rewrite113.0ms (1.4%)

series321.0ms (4%)

simplify84.0ms (1.1%)

prune93.0ms (1.2%)

regimes986.0ms (12.4%)

bsearch4.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.8s (22%)

Profiling