Details

analyze1.1s (21.2%)

Algorithm

1×	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%	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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	27×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify291.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (285.0ms)

Iter	Nodes	Cost
0	5599	16

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

0.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite39.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_18855`
70×	`*-un-lft-identity_binary64_18833`
51×	`times-frac_binary64_18839`
31×	`associate-r_binary64_18773`
26×	`add-cube-cbrt_binary64_18868`
22×	`distribute-lft-out--_binary64_18785` `difference-of-squares_binary64_18802`
9×	`add-cbrt-cube_binary64_18869` `add-exp-log_binary64_18871`
5×	`associate-/r_binary64_18777` `associate-/l_binary64_18778`
4×	`pow1_binary64_18894` `associate-/r/_binary64_18779`
3×	`flip--_binary64_18808` `flip3--_binary64_18837` `associate-l_binary64_18774`
2×	`div-inv_binary64_18830` `add-log-exp_binary64_18872` `cbrt-unprod_binary64_18866` `prod-exp_binary64_18882` `cbrt-undiv_binary64_18867` `associate-/l/_binary64_18780` `unswap-sqr_binary64_18801` `div-exp_binary64_18884`
1×	`pow-prod-down_binary64_18904` `-commutative_binary64_18764` `div-sub_binary64_18838` `associate-r/_binary64_18775` `clear-num_binary64_18832` `frac-2neg_binary64_18844`

Counts

2 → 102

Calls

2 calls:

20.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

series122.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

81.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
42.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify75.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5084	1767

prune90.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	6	109

Error

Counts

109 → 6

Compiler

Compiled 2085 to 463 computations (77.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.1b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
6.1b	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
6.1b	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
6.1b	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

rewrite55.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_18855`
36×	`*-un-lft-identity_binary64_18833`
31×	`associate-r_binary64_18773`
26×	`times-frac_binary64_18839`
16×	`add-cube-cbrt_binary64_18868`
10×	`distribute-lft-out--_binary64_18785` `difference-of-squares_binary64_18802`
9×	`add-cbrt-cube_binary64_18869` `add-exp-log_binary64_18871`
6×	`pow1_binary64_18894`
4×	`associate-*r/_binary64_18775` `add-log-exp_binary64_18872`
3×	`cbrt-prod_binary64_18864` `pow1/3_binary64_18915` `associate-l_binary64_18774` `cbrt-div_binary64_18865`
2×	`cbrt-unprod_binary64_18866` `prod-exp_binary64_18882` `unswap-sqr_binary64_18801` `associate-/r/_binary64_18779`
1×	`pow-prod-down_binary64_18904` `*-commutative_binary64_18764` `div-inv_binary64_18830` `flip--_binary64_18808` `flip3--_binary64_18837` `cbrt-undiv_binary64_18867` `div-exp_binary64_18884`

Counts

4 → 80

Calls

4 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
12.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
9.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
8.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

series888.0ms (17.3%)

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
264.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
262.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
88.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5119	1441

prune92.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Error

Counts

98 → 6

Compiler

Compiled 3754 to 531 computations (85.9% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 a t))
0.0b	(*.f64 y (-.f64 z t))
11.8b	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 (-.f64 a t)))

rewrite42.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_18855`
42×	`*-un-lft-identity_binary64_18833`
31×	`add-exp-log_binary64_18871`
30×	`times-frac_binary64_18839`
26×	`associate-r_binary64_18773` `add-cube-cbrt_binary64_18868`
19×	`add-cbrt-cube_binary64_18869`
13×	`prod-exp_binary64_18882`
11×	`pow1_binary64_18894`
8×	`distribute-lft-out--_binary64_18785` `difference-of-squares_binary64_18802`
7×	`associate-*r/_binary64_18775` `cbrt-unprod_binary64_18866`
6×	`div-exp_binary64_18884` `cancel-sign-sub-inv_binary64_18799`
5×	`associate-/r*_binary64_18777` `flip--_binary64_18808` `flip3--_binary64_18837`
4×	`pow-prod-down_binary64_18904` `distribute-lft-in_binary64_18782` `distribute-rgt-in_binary64_18783` `associate-l_binary64_18774` `associate-/r/_binary64_18779`
3×	`associate-/l*_binary64_18778` `add-log-exp_binary64_18872` `cbrt-undiv_binary64_18867` `rec-exp_binary64_18883` `1-exp_binary64_18877`
2×	`-commutative_binary64_18764` `div-inv_binary64_18830` `associate-l/_binary64_18776` `sub-neg_binary64_18826` `frac-times_binary64_18843`
1×	`clear-num_binary64_18832` `frac-2neg_binary64_18844` `inv-pow_binary64_18918` `unswap-sqr_binary64_18801` `pow-flip_binary64_18907` `un-div-inv_binary64_18831`

Counts

3 → 121

Calls

3 calls:

15.0ms	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 (-.f64 a t)))
7.0ms	(*.f64 y (-.f64 z t))
6.0ms	(/.f64 1 (-.f64 a t))

series129.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

78.0ms	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 (-.f64 a t)))
31.0ms	(*.f64 y (-.f64 z t))
20.0ms	(/.f64 1 (-.f64 a t))

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5053	1619

prune99.0ms (1.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	130	6	136

Error

Counts

136 → 6

Compiler

Compiled 2307 to 776 computations (66.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 y (sqrt.f64 (-.f64 a t)))
0.2b	(/.f64 (-.f64 z t) (sqrt.f64 (-.f64 a t)))
2.9b	(*.f64 (/.f64 y (sqrt.f64 (-.f64 a t))) (/.f64 (-.f64 z t) (sqrt.f64 (-.f64 a t))))

rewrite90.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

175×	`add-sqr-sqrt_binary64_18855`
145×	`*-un-lft-identity_binary64_18833`
140×	`times-frac_binary64_18839`
96×	`sqrt-prod_binary64_18849`
75×	`add-cube-cbrt_binary64_18868`
46×	`associate-r_binary64_18773`
35×	`distribute-lft-out--_binary64_18785` `difference-of-squares_binary64_18802`
30×	`associate-l_binary64_18774`
19×	`add-cbrt-cube_binary64_18869` `add-exp-log_binary64_18871`
16×	`associate-/r*_binary64_18777`
9×	`unswap-sqr_binary64_18801`
8×	`associate-/l*_binary64_18778` `sqrt-div_binary64_18850` `associate-/r/_binary64_18779`
6×	`cbrt-undiv_binary64_18867` `div-exp_binary64_18884`
5×	`pow1_binary64_18894` `flip--_binary64_18808` `flip3--_binary64_18837`
4×	`div-inv_binary64_18830` `cbrt-unprod_binary64_18866` `prod-exp_binary64_18882`
3×	`add-log-exp_binary64_18872`
2×	`clear-num_binary64_18832` `frac-2neg_binary64_18844` `associate-/l/_binary64_18780`
1×	`pow-prod-down_binary64_18904` `-commutative_binary64_18764` `div-sub_binary64_18838` `associate-r/_binary64_18775` `associate-*l/_binary64_18776` `frac-times_binary64_18843`

Counts

3 → 224

Calls

3 calls:

47.0ms	(*.f64 (/.f64 y (sqrt.f64 (-.f64 a t))) (/.f64 (-.f64 z t) (sqrt.f64 (-.f64 a t))))
10.0ms	(/.f64 (-.f64 z t) (sqrt.f64 (-.f64 a t)))
6.0ms	(/.f64 y (sqrt.f64 (-.f64 a t)))

series328.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

148.0ms	(*.f64 (/.f64 y (sqrt.f64 (-.f64 a t))) (/.f64 (-.f64 z t) (sqrt.f64 (-.f64 a t))))
102.0ms	(/.f64 y (sqrt.f64 (-.f64 a t)))
77.0ms	(/.f64 (-.f64 z t) (sqrt.f64 (-.f64 a t)))

simplify99.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5256	5199

prune187.0ms (3.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	233	6	239

Error

Counts

239 → 6

Compiler

Compiled 5901 to 819 computations (86.1% saved)

regimes281.0ms (5.5%)

Accuracy

Total 1.4b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 2856 to 2024 computations (29.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms (0%)

sample948.0ms (18.5%)

Algorithm

1×

intervals

Results

304.0ms	7999×	body	128	valid
24.0ms	694×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 415 to 287 computations (30.8% saved)

Details

analyze1.1s (21.2%)

sample24.0ms (0.5%)

simplify291.0ms (5.7%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite39.0ms (0.8%)

series122.0ms (2.4%)

simplify75.0ms (1.5%)

prune90.0ms (1.8%)

localize13.0ms (0.2%)

rewrite55.0ms (1.1%)

series888.0ms (17.3%)

simplify59.0ms (1.1%)

prune92.0ms (1.8%)

localize10.0ms (0.2%)

rewrite42.0ms (0.8%)

series129.0ms (2.5%)

simplify65.0ms (1.3%)

prune99.0ms (1.9%)

localize10.0ms (0.2%)

rewrite90.0ms (1.8%)

series328.0ms (6.4%)

simplify99.0ms (1.9%)

prune187.0ms (3.6%)

regimes281.0ms (5.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample948.0ms (18.5%)

Profiling