Details

analyze309.0ms (6.6%)

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
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample50.0ms (1.1%)

Algorithm

1×

intervals

Results

26.0ms	124×	body	8192	exit
10.0ms	211×	body	128	valid
2.0ms	28×	body	256	valid
2.0ms	17×	body	512	valid
0.0ms	6×	body	128	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify219.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4887	18
1	4887	18

prune4.0ms (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

Merged error: 13.0b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
0.0b	(/.f64 x (exp.f64 wj))
6.1b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite43.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_3147`
48×	`add-sqr-sqrt_binary64_3169`
38×	`times-frac_binary64_3153`
23×	`add-cube-cbrt_binary64_3182`
10×	`difference-of-squares_binary64_3116`
9×	`associate-/l*_binary64_3092`
8×	`distribute-lft-out_binary64_3098`
7×	`add-cbrt-cube_binary64_3183` `associate-/r*_binary64_3091`
6×	`add-exp-log_binary64_3185`
5×	`distribute-lft-out--_binary64_3099` `add-log-exp_binary64_3186`
3×	`pow1_binary64_3208`
2×	`clear-num_binary64_3146` `flip-+_binary64_3121` `frac-2neg_binary64_3158` `flip3-+_binary64_3150` `associate-/l/_binary64_3094` `div-sub_binary64_3152` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `associate-/r/_binary64_3093` `div-inv_binary64_3144`
1×	`flip--_binary64_3122` `flip3--_binary64_3151` `associate-+r-_binary64_3081` `+-commutative_binary64_3077` `sum-log_binary64_3238`

Counts

3 → 91

Calls

3 calls:

19.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
13.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))

series119.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

49.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
38.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
31.0ms	(/.f64 x (exp.f64 wj))

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4946	2095
1	4946	2095

prune107.0ms (2.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	93	7	100
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	95	7	102

Merged error: 0.5b

Counts

102 → 7

Compiler

Compiled 2142 to 890 computations (58.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 wj (+.f64 wj (.f64 x -2)))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_3169`
3×	`-un-lft-identity_binary64_3147` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `associate-r_binary64_3087` `pow1_binary64_3208` `add-cube-cbrt_binary64_3182` `associate-l*_binary64_3088`
2×	`associate-*r/_binary64_3089`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `flip-+_binary64_3121` `pow-prod-down_binary64_3218` `flip3-+_binary64_3150` `prod-exp_binary64_3196` `distribute-lft-in_binary64_3096` `cbrt-unprod_binary64_3180` `add-log-exp_binary64_3186` `distribute-rgt-in_binary64_3097`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 wj (+.f64 wj (*.f64 x -2)))

series31.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

31.0ms

(*.f64 wj (+.f64 wj (*.f64 x -2)))

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5144	316

prune34.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	21	11	32

Merged error: 0.5b

Counts

32 → 11

Compiler

Compiled 584 to 365 computations (37.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
15×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `associate-l_binary64_3088`
4×	`unswap-sqr_binary64_3115` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)

series347.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
87.0ms	(cbrt.f64 wj)
85.0ms	(cbrt.f64 wj)
83.0ms	(cbrt.f64 wj)

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune81.0ms (1.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	85	11	96

Merged error: 0.5b

Counts

96 → 11

Compiler

Compiled 1814 to 889 computations (51% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)
13.9b	(log.f64 (exp.f64 (cbrt.f64 wj)))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_3178`
10×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
7×	`log-pow_binary64_3236`
6×	`exp-prod_binary64_3199`
5×	`pow1_binary64_3208`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
3×	`pow1/3_binary64_3229` `log-prod_binary64_3233`
1×	`rem-log-exp_binary64_3188`

Counts

4 → 51

Calls

4 calls:

3.0ms	(log.f64 (exp.f64 (cbrt.f64 wj)))
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)

series423.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

177.0ms	(log.f64 (exp.f64 (cbrt.f64 wj)))
85.0ms	(cbrt.f64 wj)
84.0ms	(cbrt.f64 wj)
77.0ms	(cbrt.f64 wj)

simplify79.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5099	393

prune58.0ms (1.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	62	12	74

Merged error: 0.5b

Counts

74 → 12

Compiler

Compiled 1312 to 538 computations (59% saved)

regimes250.0ms (5.4%)

Compiler: Compiled 2730 to 1662 computations (39.1% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 16 to 8 computations (50% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	459	74
1	459	74

end0.0ms (0%)

sample2.2s (47.4%)

Algorithm

1×

intervals

Results

838.0ms	3684×	body	8192	exit
250.0ms	6539×	body	128	valid
91.0ms	710×	body	512	valid
56.0ms	729×	body	256	valid
4.0ms	22×	body	1024	valid
4.0ms	89×	body	128	invalid
0.0ms	10×	body	128	overflowed

Compiler

Compiled 980 to 597 computations (39.1% saved)

Details

analyze309.0ms (6.6%)

sample50.0ms (1.1%)

simplify219.0ms (4.7%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite43.0ms (0.9%)

series119.0ms (2.6%)

simplify71.0ms (1.5%)

prune107.0ms (2.3%)

localize5.0ms (0.1%)

rewrite8.0ms (0.2%)

series31.0ms (0.7%)

simplify74.0ms (1.6%)

prune34.0ms (0.7%)

localize9.0ms (0.2%)

rewrite15.0ms (0.3%)

series347.0ms (7.4%)

simplify60.0ms (1.3%)

prune81.0ms (1.7%)

localize12.0ms (0.3%)

rewrite10.0ms (0.2%)

series423.0ms (9.1%)

simplify79.0ms (1.7%)

prune58.0ms (1.2%)

regimes250.0ms (5.4%)

bsearch3.0ms (0.1%)

simplify16.0ms (0.3%)

end0.0ms (0%)

sample2.2s (47.4%)

Profiling