Details

analyze245.0ms (6.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	28×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify103.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	241	10
1	241	10

prune2.0ms (0.1%)

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

3.3b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.1b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_7261`
3×	`add-exp-log_binary64_7277` `-un-lft-identity_binary64_7239` `pow1_binary64_7300` `associate-r_binary64_7179` `add-cbrt-cube_binary64_7275` `associate-l*_binary64_7180` `add-cube-cbrt_binary64_7274`
2×	`associate-*r/_binary64_7181` `distribute-lft-in_binary64_7188` `distribute-rgt-in_binary64_7189` `cancel-sign-sub-inv_binary64_7205` `sub-neg_binary64_7232`
1×	`flip3--_binary64_7243` `add-log-exp_binary64_7278` `cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `flip--_binary64_7214` `unswap-sqr_binary64_7207` `*-commutative_binary64_7170` `prod-exp_binary64_7288`

Counts

1 → 24

Calls

1 calls:

7.0ms

(*.f64 x (-.f64 1 (*.f64 y z)))

series44.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

44.0ms

(*.f64 x (-.f64 1 (*.f64 y z)))

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4868	322
1	4868	322

prune25.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	7	28

Error

3.2b

Counts

28 → 7

Compiler

Compiled 399 to 215 computations (46.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
3.3b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.3b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.3b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_7271`
10×	`associate-*r/_binary64_7181`
9×	`add-exp-log_binary64_7277` `flip3--_binary64_7243` `flip--_binary64_7214` `cbrt-prod_binary64_7270` `pow1_binary64_7300` `add-sqr-sqrt_binary64_7261`
8×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
7×	`add-cbrt-cube_binary64_7275`
4×	`add-log-exp_binary64_7278` `frac-times_binary64_7249`
3×	`cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `pow1/3_binary64_7321` `prod-exp_binary64_7288` `associate-l_binary64_7180`
2×	`associate-*l/_binary64_7182`
1×	`unswap-sqr_binary64_7207` `-commutative_binary64_7170` `associate-r*_binary64_7179`

Counts

4 → 66

Calls

4 calls:

11.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
2.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series578.0ms (16%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
154.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
146.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
122.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))))

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5052	1590

prune107.0ms (2.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	77	8	85

Error

3.2b

Counts

85 → 8

Compiler

Compiled 2435 to 1369 computations (43.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x) (cbrt.f64 (-.f64 1 (.f64 y z))))
3.3b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.3b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.3b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_7271`
12×	`cbrt-prod_binary64_7270`
9×	`add-exp-log_binary64_7277` `flip3--_binary64_7243` `flip--_binary64_7214` `*-un-lft-identity_binary64_7239` `pow1_binary64_7300` `add-sqr-sqrt_binary64_7261` `add-cube-cbrt_binary64_7274`
8×	`associate-*l/_binary64_7182`
6×	`associate-r_binary64_7179` `add-cbrt-cube_binary64_7275`
4×	`add-log-exp_binary64_7278` `frac-times_binary64_7249`
3×	`cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `pow1/3_binary64_7321` `prod-exp_binary64_7288`
2×	`associate-*r/_binary64_7181`
1×	`-commutative_binary64_7170` `associate-l*_binary64_7180`

Counts

4 → 68

Calls

4 calls:

11.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x) (cbrt.f64 (-.f64 1 (.f64 y z))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series675.0ms (18.7%)

Counts

4 → 12

Calls

4 calls:

236.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x) (cbrt.f64 (-.f64 1 (.f64 y z))))
154.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
143.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
142.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

simplify158.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4965	1770
1	4965	1770

prune110.0ms (3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	80	8	88

Error

3.2b

Counts

88 → 8

Compiler

Compiled 2476 to 1408 computations (43.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (.f64 y z) (*.f64 y z))
3.3b	(.f64 x (-.f64 1 (.f64 (.f64 y z) (.f64 y z))))
8.4b	(/.f64 (.f64 x (-.f64 1 (.f64 (.f64 y z) (.f64 y z)))) (+.f64 1 (*.f64 y z)))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`pow1_binary64_7300`
22×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
18×	`pow-prod-down_binary64_7310`
10×	`cbrt-unprod_binary64_7272` `prod-exp_binary64_7288` `add-sqr-sqrt_binary64_7261`
8×	`*-un-lft-identity_binary64_7239`
7×	`add-cube-cbrt_binary64_7274`
6×	`associate-r_binary64_7179`
4×	`associate-r/_binary64_7181` `pow-sqr_binary64_7212` `associate-l*_binary64_7180` `pow-prod-up_binary64_7309`
3×	`add-log-exp_binary64_7278` `associate-/r*_binary64_7183` `times-frac_binary64_7245`
2×	`flip3--_binary64_7243` `distribute-lft-in_binary64_7188` `distribute-rgt-in_binary64_7189` `flip--_binary64_7214` `associate-/l/_binary64_7186` `*-commutative_binary64_7170` `associate-/r/_binary64_7185` `cbrt-undiv_binary64_7273` `div-exp_binary64_7290` `cancel-sign-sub-inv_binary64_7205` `difference-of-squares_binary64_7208` `pow-plus_binary64_7302` `sub-neg_binary64_7232`
1×	`pow2_binary64_7320` `flip-+_binary64_7213` `flip3-+_binary64_7242` `swap-sqr_binary64_7206` `frac-2neg_binary64_7250` `unswap-sqr_binary64_7207` `associate-/l*_binary64_7184` `div-inv_binary64_7236` `clear-num_binary64_7238`

Counts

3 → 85

Calls

3 calls:

11.0ms	(/.f64 (.f64 x (-.f64 1 (.f64 (.f64 y z) (.f64 y z)))) (+.f64 1 (*.f64 y z)))
6.0ms	(.f64 (.f64 y z) (*.f64 y z))
6.0ms	(.f64 x (-.f64 1 (.f64 (.f64 y z) (.f64 y z))))

series256.0ms (7.1%)

Counts

3 → 9

Calls

3 calls:

131.0ms	(/.f64 (.f64 x (-.f64 1 (.f64 (.f64 y z) (.f64 y z)))) (+.f64 1 (*.f64 y z)))
99.0ms	(.f64 x (-.f64 1 (.f64 (.f64 y z) (.f64 y z))))
26.0ms	(.f64 (.f64 y z) (*.f64 y z))

simplify61.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5642	1252

prune86.0ms (2.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	0	4	4
Picked	1	0	1
Done	1	2	3
Total	93	9	102

Error

3.2b

Counts

102 → 9

Compiler

Compiled 1788 to 936 computations (47.7% saved)

regimes180.0ms (5%)

Accuracy

Total 0.2b remaining (4.8%)

Threshold costs 0.2b (4.8%)

Compiler

Compiled 1824 to 1426 computations (21.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms (0%)

sample719.0ms (19.9%)

Algorithm

1×

intervals

Results

205.0ms	8000×	body	128	valid
14.0ms	558×	body	128	invalid

Compiler

Compiled 313 to 247 computations (21.1% saved)

Details

analyze245.0ms (6.8%)

sample17.0ms (0.5%)

simplify103.0ms (2.8%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite8.0ms (0.2%)

series44.0ms (1.2%)

simplify63.0ms (1.7%)

prune25.0ms (0.7%)

localize9.0ms (0.2%)

rewrite25.0ms (0.7%)

series578.0ms (16%)

simplify62.0ms (1.7%)

prune107.0ms (2.9%)

localize12.0ms (0.3%)

rewrite27.0ms (0.7%)

series675.0ms (18.7%)

simplify158.0ms (4.4%)

prune110.0ms (3%)

localize8.0ms (0.2%)

rewrite31.0ms (0.9%)

series256.0ms (7.1%)

simplify61.0ms (1.7%)

prune86.0ms (2.4%)

regimes180.0ms (5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample719.0ms (19.9%)

Profiling