Details

analyze173.0ms (1.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	9	26
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Symmetry

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample18.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	25×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	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

0.8b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

18×	`*-un-lft-identity_binary64_3147`
12×	`times-frac_binary64_3153`
10×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169`
4×	`distribute-lft-out_binary64_3098` `associate-/r*_binary64_3091`
3×	`add-cbrt-cube_binary64_3183` `associate-/l*_binary64_3092`
2×	`add-exp-log_binary64_3185` `associate-/r/_binary64_3093`
1×	`pow1_binary64_3208` `div-exp_binary64_3198` `add-log-exp_binary64_3186` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `flip3-+_binary64_3150` `flip-+_binary64_3121`

Counts

1 → 33

Calls

1 calls:

7.0ms

(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 571 to 117 computations (79.5% saved)

series188.0ms (2%)

Error

0.4b

Counts

1 → 12

Calls

1 calls:

170.0ms

(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 812 to 548 computations (32.5% saved)

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4996	1256
1	4996	1256

prune50.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	4	46

Error

0.4b

Counts

46 → 4

Compiler

Compiled 1041 to 410 computations (60.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (exp.f64 a))
0.3b	(cbrt.f64 (exp.f64 a))
0.7b	(/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
0.8b	(.f64 (.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 a))) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))

rewrite149.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

64×	`*-un-lft-identity_binary64_3147`
50×	`times-frac_binary64_3153`
43×	`add-sqr-sqrt_binary64_3169`
38×	`add-cube-cbrt_binary64_3182`
34×	`cbrt-prod_binary64_3178`
30×	`associate-r_binary64_3087`
18×	`add-exp-log_binary64_3185`
13×	`distribute-lft-out_binary64_3098`
11×	`add-cbrt-cube_binary64_3183`
9×	`pow1_binary64_3208`
6×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-/l*_binary64_3092`
4×	`add-log-exp_binary64_3186` `associate-/r/_binary64_3093` `associate-/r*_binary64_3091`
3×	`pow-prod-down_binary64_3218` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `unswap-sqr_binary64_3115`
2×	`div-inv_binary64_3144` `flip3-+_binary64_3150` `flip-+_binary64_3121` `pow1/3_binary64_3229`
1×	`associate-r/_binary64_3089` `associate-l_binary64_3088` `-commutative_binary64_3078` `frac-2neg_binary64_3158` `clear-num_binary64_3146`

Counts

4 → 123

Calls

4 calls:

18.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 a))) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
7.0ms	(/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
2.0ms	(cbrt.f64 (exp.f64 a))
2.0ms	(cbrt.f64 (exp.f64 a))

Compiler

Compiled 3342 to 446 computations (86.7% saved)

series680.0ms (7.2%)

Error

0.4b

Counts

4 → 36

Calls

4 calls:

308.0ms	(/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
182.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 a))) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
70.0ms	(cbrt.f64 (exp.f64 a))
69.0ms	(cbrt.f64 (exp.f64 a))

Compiler

Compiled 2556 to 1599 computations (37.4% saved)

simplify130.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4954	3768
1	4954	3768

prune144.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	159	4	163

Error

0.4b

Counts

163 → 4

Compiler

Compiled 4003 to 1045 computations (73.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite290.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

137×	`*-un-lft-identity_binary64_3147`
102×	`times-frac_binary64_3153`
96×	`cbrt-prod_binary64_3178`
95×	`add-sqr-sqrt_binary64_3169`
71×	`add-cube-cbrt_binary64_3182`
30×	`distribute-lft-out_binary64_3098`
27×	`swap-sqr_binary64_3114`
21×	`associate-l_binary64_3088` `associate-r_binary64_3087`
14×	`associate-/r/_binary64_3093`
12×	`associate-/r*_binary64_3091`
11×	`pow1_binary64_3208`
10×	`add-cbrt-cube_binary64_3183`
9×	`add-exp-log_binary64_3185` `associate-/l*_binary64_3092` `unswap-sqr_binary64_3115`
7×	`div-inv_binary64_3144` `flip3-+_binary64_3150` `flip-+_binary64_3121`
6×	`pow1/3_binary64_3229`
4×	`add-log-exp_binary64_3186` `cbrt-div_binary64_3179`
3×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `frac-times_binary64_3157` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `*-commutative_binary64_3078`

Counts

4 → 198

Calls

4 calls:

31.0ms	(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

Compiler

Compiled 8153 to 956 computations (88.3% saved)

series5.5s (58%)

Error

0.4b

Counts

4 → 36

Calls

4 calls:

4.9s	(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
122.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
119.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
113.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

Compiler

Compiled 10272 to 6757 computations (34.2% saved)

simplify121.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	6182	11981

prune380.0ms (4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	234	4	238

Error

0.4b

Counts

238 → 4

Compiler

Compiled 12125 to 3409 computations (71.9% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

18×	`*-un-lft-identity_binary64_3147`
12×	`times-frac_binary64_3153`
10×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169`
5×	`add-exp-log_binary64_3185`
4×	`distribute-lft-out_binary64_3098` `associate-/r*_binary64_3091`
3×	`add-cbrt-cube_binary64_3183` `associate-/l*_binary64_3092`
2×	`pow1_binary64_3208` `div-exp_binary64_3198` `associate-/r/_binary64_3093`
1×	`inv-pow_binary64_3232` `pow-flip_binary64_3221` `1-exp_binary64_3191` `rec-exp_binary64_3197` `add-log-exp_binary64_3186` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `flip3-+_binary64_3150` `flip-+_binary64_3121`

Counts

1 → 37

Calls

1 calls:

6.0ms

(/.f64 1 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 489 to 369 computations (24.5% saved)

series38.0ms (0.4%)

Error

0.4b

Counts

1 → 5

Calls

1 calls:

34.0ms

(/.f64 1 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 87 to 89 computations (-2.3% saved)

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4747	536
1	4747	536

prune34.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	42	4	46

Error

0.4b

Counts

46 → 4

Compiler

Compiled 451 to 335 computations (25.7% saved)

regimes279.0ms (2.9%)

Accuracy

Total 0.3b remaining (66.5%)

Threshold costs 0.3b (66.5%)

Compiler

Compiled 3451 to 2164 computations (37.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

Removed

()

end0.0ms (0%)

sample1.0s (10.8%)

Algorithm

1×

intervals

Results

239.0ms	8000×	body	128	valid
15.0ms	647×	body	128	overflowed

Compiler

Compiled 599 to 385 computations (35.7% saved)

Details

analyze173.0ms (1.8%)

sample18.0ms (0.2%)

simplify12.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite42.0ms (0.4%)

series188.0ms (2%)

simplify55.0ms (0.6%)

prune50.0ms (0.5%)

localize9.0ms (0.1%)

rewrite149.0ms (1.6%)

series680.0ms (7.2%)

simplify130.0ms (1.4%)

prune144.0ms (1.5%)

localize9.0ms (0.1%)

rewrite290.0ms (3.1%)

series5.5s (58%)

simplify121.0ms (1.3%)

prune380.0ms (4%)

localize4.0ms (0%)

rewrite40.0ms (0.4%)

series38.0ms (0.4%)

simplify115.0ms (1.2%)

prune34.0ms (0.4%)

regimes279.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.0s (10.8%)

Profiling