Details

analyze1.0s (3.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4968	91
1	4968	91
0	4	4
1	4	4

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample597.0ms (1.9%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
4.0ms	63×	body	128	invalid

Compiler

Compiled 3209 to 4168 computations (-29.9% saved)

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	734	13
1	734	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

5.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
5.9b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite87.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_11353` `*-un-lft-identity_binary64_11331`
10×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
9×	`add-cube-cbrt_binary64_11366`
6×	`cancel-sign-sub-inv_binary64_11297`
5×	`pow1_binary64_11392` `add-log-exp_binary64_11370` `associate-r_binary64_11271`
4×	`associate-*r/_binary64_11273` `distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280`
3×	`times-frac_binary64_11337` `associate-/r_binary64_11275` `associate-l*_binary64_11272`
2×	`prod-exp_binary64_11380` `div-exp_binary64_11382` `cbrt-undiv_binary64_11365` `cbrt-unprod_binary64_11364` `flip3--_binary64_11335` `associate-/l/_binary64_11278` `flip--_binary64_11306` `sub-neg_binary64_11324`
1×	`frac-2neg_binary64_11342` `clear-num_binary64_11330` `div-inv_binary64_11328` `associate-/l_binary64_11276` `sum-log_binary64_11422` `flip3-+_binary64_11334` `flip-+_binary64_11305` `distribute-lft-out_binary64_11282` `+-commutative_binary64_11261` `pow-prod-down_binary64_11402` `unswap-sqr_binary64_11299` `difference-of-squares_binary64_11300` `distribute-lft-out--_binary64_11283` `-commutative_binary64_11262`

Counts

3 → 65

Calls

3 calls:

7.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

Compiler

Compiled 1047 to 299 computations (71.4% saved)

series911.0ms (2.9%)

Error

0.2b

Counts

3 → 57

Calls

3 calls:

433.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
300.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
144.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1493 to 861 computations (42.3% saved)

simplify58.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5049	1318

prune93.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	8	123

Error

0.0b

Counts

123 → 8

Compiler

Compiled 1467 to 312 computations (78.7% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
6.2b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

rewrite145.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`add-sqr-sqrt_binary64_11353`
40×	`times-frac_binary64_11337`
38×	`*-un-lft-identity_binary64_11331`
34×	`associate-r_binary64_11271`
26×	`add-cube-cbrt_binary64_11366` `cbrt-prod_binary64_11362`
25×	`add-exp-log_binary64_11369`
18×	`add-cbrt-cube_binary64_11367`
8×	`prod-exp_binary64_11380` `cbrt-unprod_binary64_11364`
7×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365` `associate-l_binary64_11272`
6×	`pow1_binary64_11392` `unswap-sqr_binary64_11299` `difference-of-squares_binary64_11300` `distribute-lft-out--_binary64_11283`
4×	`add-log-exp_binary64_11370`
3×	`pow1/3_binary64_11413`
2×	`div-inv_binary64_11328`
1×	`pow-prod-down_binary64_11402` `frac-times_binary64_11341` `associate-l/_binary64_11274` `associate-r/_binary64_11273` `*-commutative_binary64_11262`

Counts

4 → 104

Calls

4 calls:

20.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 2571 to 507 computations (80.3% saved)

series718.0ms (2.3%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

349.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
124.0ms	(cbrt.f64 t)
117.0ms	(cbrt.f64 t)
108.0ms	(cbrt.f64 t)

Compiler

Compiled 1029 to 652 computations (36.6% saved)

simplify73.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4963	1780
1	4963	1780

prune123.0ms (0.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	131	8	139

Error

Counts

139 → 8

Compiler

Compiled 2478 to 682 computations (72.5% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (.f64 (.f64 y (-.f64 z x)) (/.f64 1 t)))
5.9b	(.f64 (.f64 y (-.f64 z x)) (/.f64 1 t))

rewrite107.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-exp-log_binary64_11369`
18×	`add-sqr-sqrt_binary64_11353` `associate-r_binary64_11271`
17×	`add-cbrt-cube_binary64_11367`
16×	`*-un-lft-identity_binary64_11331`
14×	`add-cube-cbrt_binary64_11366`
13×	`prod-exp_binary64_11380`
10×	`pow1_binary64_11392`
9×	`times-frac_binary64_11337`
7×	`cbrt-unprod_binary64_11364` `associate-*r/_binary64_11273`
6×	`cancel-sign-sub-inv_binary64_11297`
5×	`add-log-exp_binary64_11370`
4×	`pow-prod-down_binary64_11402` `div-exp_binary64_11382` `associate-l_binary64_11272` `distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280`
3×	`flip3--_binary64_11335` `flip--_binary64_11306`
2×	`1-exp_binary64_11375` `rec-exp_binary64_11381` `cbrt-undiv_binary64_11365` `frac-times_binary64_11341` `associate-l/_binary64_11274` `-commutative_binary64_11262` `sub-neg_binary64_11324`
1×	`un-div-inv_binary64_11329` `div-inv_binary64_11328` `sum-log_binary64_11422` `flip3-+_binary64_11334` `flip-+_binary64_11305` `+-commutative_binary64_11261` `unswap-sqr_binary64_11299` `difference-of-squares_binary64_11300` `distribute-lft-out--_binary64_11283`

Counts

3 → 83

Calls

3 calls:

11.0ms	(.f64 (.f64 y (-.f64 z x)) (/.f64 1 t))
7.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (.f64 (.f64 y (-.f64 z x)) (/.f64 1 t)))

Compiler

Compiled 1567 to 674 computations (57% saved)

series932.0ms (2.9%)

Error

Counts

3 → 57

Calls

3 calls:

446.0ms	(+.f64 x (.f64 (.f64 y (-.f64 z x)) (/.f64 1 t)))
311.0ms	(.f64 (.f64 y (-.f64 z x)) (/.f64 1 t))
146.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1571 to 963 computations (38.7% saved)

simplify40.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5294	1579

prune102.0ms (0.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	140	8	148

Error

Counts

148 → 8

Compiler

Compiled 1825 to 548 computations (70% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

5.9b	(/.f64 (*.f64 (-.f64 z x) y) t)
7.8b	(cbrt.f64 (/.f64 (*.f64 (-.f64 z x) y) t))
7.8b	(cbrt.f64 (/.f64 (*.f64 (-.f64 z x) y) t))
7.8b	(cbrt.f64 (/.f64 (*.f64 (-.f64 z x) y) t))

rewrite107.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`cbrt-prod_binary64_11362`
12×	`add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353` `times-frac_binary64_11337` `*-un-lft-identity_binary64_11331`
9×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
4×	`pow1_binary64_11392` `add-log-exp_binary64_11370` `div-inv_binary64_11328`
3×	`pow1/3_binary64_11413` `cbrt-div_binary64_11363` `associate-/r*_binary64_11275`
2×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365` `associate-*l/_binary64_11274` `associate-/l/_binary64_11278`
1×	`prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `frac-2neg_binary64_11342` `clear-num_binary64_11330` `flip3--_binary64_11335` `flip--_binary64_11306` `associate-/l*_binary64_11276`

Counts

4 → 71

Calls

4 calls:

7.0ms	(/.f64 (*.f64 (-.f64 z x) y) t)
5.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 z x) y) t))
5.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 z x) y) t))
5.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 z x) y) t))

Compiler

Compiled 2481 to 362 computations (85.4% saved)

series2.5s (7.9%)

Error

Counts

4 → 75

Calls

4 calls:

689.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 z x) y) t))
685.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 z x) y) t))
684.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 z x) y) t))
317.0ms	(/.f64 (*.f64 (-.f64 z x) y) t)

Compiler

Compiled 8115 to 4195 computations (48.3% saved)

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5227	3087

prune174.0ms (0.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	146	8	154

Error

Counts

154 → 8

Compiler

Compiled 5120 to 783 computations (84.7% saved)

regimes417.0ms (1.3%)

Accuracy

Total 0.8b remaining (99.3%)

Threshold costs 0.8b (99.3%)

Compiler

Compiled 2631 to 2063 computations (21.6% saved)

bsearch3.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	75
1	39	75

end0.0ms (0%)

sample23.3s (73.6%)

Algorithm

1×

intervals

Results

247.0ms	8000×	body	128	valid
146.0ms	2571×	body	128	invalid

Compiler

Compiled 106306 to 137869 computations (-29.7% saved)

Details

analyze1.0s (3.2%)

sample597.0ms (1.9%)

simplify52.0ms (0.2%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite87.0ms (0.3%)

series911.0ms (2.9%)

simplify58.0ms (0.2%)

prune93.0ms (0.3%)

localize10.0ms (0%)

rewrite145.0ms (0.5%)

series718.0ms (2.3%)

simplify73.0ms (0.2%)

prune123.0ms (0.4%)

localize8.0ms (0%)

rewrite107.0ms (0.3%)

series932.0ms (2.9%)

simplify40.0ms (0.1%)

prune102.0ms (0.3%)

localize11.0ms (0%)

rewrite107.0ms (0.3%)

series2.5s (7.9%)

simplify51.0ms (0.2%)

prune174.0ms (0.6%)

regimes417.0ms (1.3%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample23.3s (73.6%)

Profiling