Details

analyze1.9s (16%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4998	176
1	4998	176
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14
26.2%	73.5%	0.2%	14

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample229.0ms (2%)

Algorithm

2×

intervals

Results

18.0ms	512×	body	128	valid
2.0ms	35×	body	128	invalid

Compiler

Compiled 3239 to 4314 computations (-33.2% saved)

simplify269.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (263.0ms)

Iter	Nodes	Cost
0	5599	16

prune5.0ms (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

0.4b

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 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.1b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite158.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

76×	`add-sqr-sqrt_binary64_14081`
71×	`*-un-lft-identity_binary64_14059`
51×	`times-frac_binary64_14065`
31×	`associate-r_binary64_13999`
27×	`add-cube-cbrt_binary64_14094`
22×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
10×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
5×	`pow1_binary64_14120` `add-log-exp_binary64_14098` `associate-/l_binary64_14004` `associate-/r_binary64_14003`
4×	`associate-/r/_binary64_14005`
3×	`associate-l_binary64_14000` `flip3--_binary64_14063` `flip--_binary64_14034`
2×	`div-exp_binary64_14110` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `cbrt-undiv_binary64_14093` `unswap-sqr_binary64_14027` `div-inv_binary64_14056` `associate-/l/_binary64_14006`
1×	`pow-prod-down_binary64_14130` `associate-r/_binary64_14001` `-commutative_binary64_13990` `frac-2neg_binary64_14070` `div-sub_binary64_14064` `clear-num_binary64_14058` `sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `+-commutative_binary64_13989`

Counts

3 → 113

Calls

3 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

Compiler

Compiled 2369 to 535 computations (77.4% saved)

series1.3s (11%)

Error

0.0b

Counts

3 → 71

Calls

3 calls:

640.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
357.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
218.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 2984 to 1774 computations (40.5% saved)

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4969	3023
1	4969	3023

prune166.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	179	5	184
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	179	6	185

Error

Counts

185 → 6

Compiler

Compiled 3062 to 625 computations (79.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.1b	(.f64 y (.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))))
4.1b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
4.1b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
4.1b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite285.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

98×	`add-sqr-sqrt_binary64_14081` `*-un-lft-identity_binary64_14059`
93×	`cbrt-prod_binary64_14090`
75×	`times-frac_binary64_14065`
38×	`add-cube-cbrt_binary64_14094`
30×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
15×	`cbrt-div_binary64_14091`
13×	`pow1_binary64_14120` `add-exp-log_binary64_14097`
10×	`associate-*r/_binary64_14001`
9×	`add-cbrt-cube_binary64_14095`
6×	`associate-/r/_binary64_14005` `pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092`
5×	`frac-times_binary64_14069` `associate-*l/_binary64_14002`
4×	`add-log-exp_binary64_14098`
3×	`pow1/3_binary64_14141` `div-inv_binary64_14056` `flip3--_binary64_14063` `flip--_binary64_14034` `associate-l_binary64_14000`
1×	`associate-r_binary64_13999` `*-commutative_binary64_13990`

Counts

4 → 148

Calls

4 calls:

40.0ms	(.f64 y (.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))))
8.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
7.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
7.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))

Compiler

Compiled 6060 to 927 computations (84.7% saved)

series1.5s (13%)

Error

Counts

4 → 63

Calls

4 calls:

445.0ms	(.f64 y (.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))))
330.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
325.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
324.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))

Compiler

Compiled 6143 to 3548 computations (42.2% saved)

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4999	4754
1	4999	4754

prune255.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	211	6	217

Error

Counts

217 → 6

Compiler

Compiled 7146 to 1214 computations (83% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
0.0b	(*.f64 (-.f64 z t) y)
11.6b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite81.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_14081` `*-un-lft-identity_binary64_14059`
10×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
7×	`add-cube-cbrt_binary64_14094`
5×	`pow1_binary64_14120` `add-log-exp_binary64_14098` `times-frac_binary64_14065` `associate-/r_binary64_14003` `associate-l*_binary64_14000`
4×	`associate-*l/_binary64_14002`
3×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011` `flip3--_binary64_14063` `flip--_binary64_14034` `associate-r_binary64_13999`
2×	`prod-exp_binary64_14108` `div-exp_binary64_14110` `cbrt-undiv_binary64_14093` `cbrt-unprod_binary64_14092` `associate-/l/_binary64_14006` `associate-/r/_binary64_14005`
1×	`frac-2neg_binary64_14070` `clear-num_binary64_14058` `div-inv_binary64_14056` `associate-/l_binary64_14004` `pow-prod-down_binary64_14130` `unswap-sqr_binary64_14027` `-commutative_binary64_13990` `sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `distribute-lft-out_binary64_14010` `+-commutative_binary64_13989`

Counts

3 → 63

Calls

3 calls:

9.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
6.0ms	(*.f64 (-.f64 z t) y)

Compiler

Compiled 1199 to 289 computations (75.9% saved)

series1.1s (9.8%)

Error

Counts

3 → 68

Calls

3 calls:

644.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
319.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
135.0ms	(*.f64 (-.f64 z t) y)

Compiler

Compiled 2680 to 1533 computations (42.8% saved)

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5400	1847

prune98.0ms (0.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	131	6	137

Error

Counts

137 → 6

Compiler

Compiled 1861 to 375 computations (79.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 a t))
0.0b	(+.f64 x (.f64 (.f64 (-.f64 z t) y) (/.f64 1 (-.f64 a t))))
0.0b	(*.f64 (-.f64 z t) y)
11.7b	(.f64 (.f64 (-.f64 z t) y) (/.f64 1 (-.f64 a t)))

rewrite160.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`add-sqr-sqrt_binary64_14081`
41×	`*-un-lft-identity_binary64_14059`
32×	`add-exp-log_binary64_14097`
30×	`times-frac_binary64_14065`
25×	`add-cube-cbrt_binary64_14094`
24×	`associate-r_binary64_13999`
20×	`add-cbrt-cube_binary64_14095`
13×	`prod-exp_binary64_14108`
12×	`pow1_binary64_14120`
8×	`associate-*l/_binary64_14002` `difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
7×	`cbrt-unprod_binary64_14092`
6×	`div-exp_binary64_14110` `add-log-exp_binary64_14098` `associate-l_binary64_14000`
5×	`flip3--_binary64_14063` `flip--_binary64_14034` `associate-/r*_binary64_14003`
4×	`pow-prod-down_binary64_14130` `associate-/r/_binary64_14005`
3×	`1-exp_binary64_14103` `rec-exp_binary64_14109` `cbrt-undiv_binary64_14093` `associate-/l*_binary64_14004`
2×	`frac-times_binary64_14069` `div-inv_binary64_14056` `*-commutative_binary64_13990`
1×	`un-div-inv_binary64_14057` `associate-*r/_binary64_14001` `unswap-sqr_binary64_14027` `sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `+-commutative_binary64_13989` `inv-pow_binary64_14144` `pow-flip_binary64_14133` `frac-2neg_binary64_14070` `clear-num_binary64_14058`

Counts

4 → 124

Calls

4 calls:

15.0ms	(.f64 (.f64 (-.f64 z t) y) (/.f64 1 (-.f64 a t)))
6.0ms	(*.f64 (-.f64 z t) y)
5.0ms	(/.f64 1 (-.f64 a t))
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 z t) y) (/.f64 1 (-.f64 a t))))

Compiler

Compiled 2654 to 1016 computations (61.7% saved)

series1.2s (10.6%)

Error

Counts

4 → 77

Calls

4 calls:

622.0ms	(+.f64 x (.f64 (.f64 (-.f64 z t) y) (/.f64 1 (-.f64 a t))))
357.0ms	(.f64 (.f64 (-.f64 z t) y) (/.f64 1 (-.f64 a t)))
141.0ms	(*.f64 (-.f64 z t) y)
54.0ms	(/.f64 1 (-.f64 a t))

Compiler

Compiled 3127 to 1909 computations (39% saved)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5643	2730

prune162.0ms (1.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	201	6	207

Error

Counts

207 → 6

Compiler

Compiled 3163 to 895 computations (71.7% saved)

regimes858.0ms (7.4%)

Accuracy

Total 1.3b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 8344 to 6168 computations (26.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	22
1	33	22

end0.0ms (0%)

sample1.5s (13%)

Algorithm

1×

intervals

Results

315.0ms	8000×	body	128	valid
26.0ms	741×	body	128	invalid

Compiler

Compiled 1049 to 771 computations (26.5% saved)

Details

analyze1.9s (16%)

sample229.0ms (2%)

simplify269.0ms (2.3%)

prune5.0ms (0%)

localize9.0ms (0.1%)

rewrite158.0ms (1.4%)

series1.3s (11%)

simplify89.0ms (0.8%)

prune166.0ms (1.4%)

localize13.0ms (0.1%)

rewrite285.0ms (2.5%)

series1.5s (13%)

simplify122.0ms (1%)

prune255.0ms (2.2%)

localize9.0ms (0.1%)

rewrite81.0ms (0.7%)

series1.1s (9.8%)

simplify66.0ms (0.6%)

prune98.0ms (0.8%)

localize10.0ms (0.1%)

rewrite160.0ms (1.4%)

series1.2s (10.6%)

simplify57.0ms (0.5%)

prune162.0ms (1.4%)

regimes858.0ms (7.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (13%)

Profiling