Details

analyze1.9s (13.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

Compiler

Compiled 53 to 22 computations (58.5% saved)

sample174.0ms (1.3%)

Algorithm

1×

intervals

Results

39.0ms	79×	body	4096	valid
33.0ms	47×	body	8192	valid
25.0ms	325×	body	128	nan
14.0ms	35×	body	2048	valid
11.0ms	140×	body	128	invalid
5.0ms	67×	body	128	valid
5.0ms	16×	body	1024	valid
2.0ms	8×	body	512	valid
1.0ms	4×	body	1024	invalid
1.0ms	4×	body	256	valid
0.0ms	1×	body	4096	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify211.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5500	63

prune6.0ms (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

Merged error: 60.3b

Counts

2 → 2

Compiler

Compiled 136 to 73 computations (46.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

14.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
34.0b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite137.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123`
117×	`cbrt-unprod_binary64_1118` `prod-exp_binary64_1134`
45×	`div-exp_binary64_1136` `cbrt-undiv_binary64_1119`
6×	`add-log-exp_binary64_1124` `*-un-lft-identity_binary64_1088`
4×	`add-sqr-sqrt_binary64_1109` `pow1_binary64_1146` `add-cube-cbrt_binary64_1120`
3×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `associate-/r_binary64_1034` `times-frac_binary64_1094` `associate-/l_binary64_1035` `div-inv_binary64_1085`
2×	`frac-add_binary64_1096` `sqrt-div_binary64_1104`
1×	`flip3--_binary64_1092` `sum-log_binary64_1176` `flip--_binary64_1063` `+-commutative_binary64_1020` `flip-+_binary64_1062` `flip3-+_binary64_1091` `distribute-lft-out_binary64_1041`

Counts

4 → 143

Calls

4 calls:

54.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
15.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series1.1s (7.9%)

Counts

4 → 12

Calls

4 calls:

527.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
194.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
188.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
185.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5615	4082

prune236.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	150	7	157

Merged error: 33.5b

Counts

157 → 7

Compiler

Compiled 8929 to 1496 computations (83.2% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

10.1b

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123`
7×	`associate-l_binary64_1031`
6×	`add-sqr-sqrt_binary64_1109`
4×	`cbrt-unprod_binary64_1118` `prod-exp_binary64_1134` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
3×	`associate-r_binary64_1030` `times-frac_binary64_1094` `pow1_binary64_1146`
2×	`div-exp_binary64_1136` `cbrt-undiv_binary64_1119`
1×	`-commutative_binary64_1021` `mul0-rgt_binary64_1071` `unswap-sqr_binary64_1056` `associate-l/_binary64_1033` `pow-prod-down_binary64_1156` `add-log-exp_binary64_1124` `div-inv_binary64_1085`

Counts

1 → 28

Calls

1 calls:

7.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

series3.0ms (0%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5104	110

prune33.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	31	7	38

Merged error: 28.5b

Counts

38 → 7

Compiler

Compiled 471 to 301 computations (36.1% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune10.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	0	0
Total	7	7

Merged error: 28.5b

Counts

7 → 7

Compiler

Compiled 298 to 144 computations (51.7% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

14.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.4b	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M))))))
15.6b	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
19.8b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite158.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

212×	`add-exp-log_binary64_1123`
135×	`add-cbrt-cube_binary64_1121`
112×	`prod-exp_binary64_1134`
64×	`cbrt-unprod_binary64_1118`
57×	`div-exp_binary64_1136`
35×	`cbrt-undiv_binary64_1119`
26×	`add-sqr-sqrt_binary64_1109`
18×	`times-frac_binary64_1094`
16×	`*-un-lft-identity_binary64_1088`
15×	`pow-exp_binary64_1153` `pow-to-exp_binary64_1154`
14×	`associate-r_binary64_1030`
10×	`add-cube-cbrt_binary64_1120`
8×	`associate-/r*_binary64_1034` `associate-/r/_binary64_1036`
7×	`associate-l_binary64_1031`
6×	`pow1_binary64_1146` `difference-of-squares_binary64_1057`
5×	`div-inv_binary64_1085`
4×	`flip3--_binary64_1092` `frac-sub_binary64_1097` `flip--_binary64_1063` `sqrt-div_binary64_1104` `add-log-exp_binary64_1124`
3×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `sqrt-prod_binary64_1103` `distribute-lft-out--_binary64_1042` `associate-/l*_binary64_1035`
2×	`unswap-sqr_binary64_1056`
1×	`-commutative_binary64_1021` `associate-l/_binary64_1033` `frac-times_binary64_1098` `pow-prod-down_binary64_1156` `associate-*r/_binary64_1032`

Counts

4 → 174

Calls

4 calls:

53.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M))))))
40.0ms	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
15.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
11.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

series3.7s (26.5%)

Counts

4 → 12

Calls

4 calls:

1.9s	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M))))))
1.5s	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
188.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
156.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5007	8692

prune411.0ms (3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	181	5	186
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	182	11	193

Merged error: 27.7b

Counts

193 → 11

Compiler

Compiled 11096 to 4026 computations (63.7% saved)

regimes322.0ms (2.3%)

Compiler: Compiled 4937 to 2761 computations (44.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 7 computations (-133.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	92
1	74	92

end0.0ms (0%)

sample5.3s (37.9%)

Algorithm

1×

intervals

Results

1.1s	2157×	body	4096	valid
899.0ms	11696×	body	128	nan
721.0ms	1122×	body	8192	valid
512.0ms	1302×	body	2048	valid
315.0ms	3962×	body	128	invalid
197.0ms	626×	body	1024	valid
186.0ms	2337×	body	128	valid
75.0ms	308×	body	512	valid
24.0ms	148×	body	256	valid
21.0ms	50×	body	2048	invalid
19.0ms	64×	body	1024	invalid
10.0ms	20×	body	4096	invalid
9.0ms	39×	body	512	invalid
6.0ms	9×	body	8192	exit
3.0ms	19×	body	256	invalid

Compiler

Compiled 634 to 346 computations (45.4% saved)

Details

analyze1.9s (13.4%)

sample174.0ms (1.3%)

simplify211.0ms (1.5%)

prune6.0ms (0%)

localize20.0ms (0.1%)

rewrite137.0ms (1%)

series1.1s (7.9%)

simplify74.0ms (0.5%)

prune236.0ms (1.7%)

localize5.0ms (0%)

rewrite9.0ms (0.1%)

series3.0ms (0%)

simplify48.0ms (0.3%)

prune33.0ms (0.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0%)

prune10.0ms (0.1%)

localize32.0ms (0.2%)

rewrite158.0ms (1.1%)

series3.7s (26.5%)

simplify87.0ms (0.6%)

prune411.0ms (3%)

regimes322.0ms (2.3%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.3s (37.9%)

Profiling