Details

analyze170.0ms (3.7%)

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	16×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune2.0ms (0.1%)

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

1.3b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.2b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite44.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

21×	`*-un-lft-identity_binary64_3147`
12×	`times-frac_binary64_3153`
11×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169`
5×	`distribute-lft-out_binary64_3098`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `associate-/r*_binary64_3091`
3×	`add-exp-log_binary64_3185` `associate-/l*_binary64_3092`
2×	`pow1_binary64_3208` `flip3-+_binary64_3150` `associate-/r/_binary64_3093` `flip-+_binary64_3121`
1×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

2 → 45

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 750 to 153 computations (79.6% saved)

series229.0ms (5%)

Error

0.4b

Counts

2 → 24

Calls

2 calls:

162.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
40.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1116 to 744 computations (33.3% saved)

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5229	1560

prune56.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	3	70

Error

0.4b

Counts

70 → 3

Compiler

Compiled 1217 to 432 computations (64.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
0.0b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
1.2b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite111.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

52×	`*-un-lft-identity_binary64_3147`
36×	`times-frac_binary64_3153` `exp-prod_binary64_3199`
30×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169`
19×	`log-pow_binary64_3236`
11×	`distribute-lft-out_binary64_3098`
7×	`add-log-exp_binary64_3186`
6×	`add-cbrt-cube_binary64_3183` `associate-/r/_binary64_3093`
5×	`pow1_binary64_3208` `add-exp-log_binary64_3185`
4×	`flip3-+_binary64_3150` `flip-+_binary64_3121` `associate-/r*_binary64_3091`
3×	`div-inv_binary64_3144` `associate-/l*_binary64_3092` `log-prod_binary64_3233`
1×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `sum-log_binary64_3238` `+-commutative_binary64_3077` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187`

Counts

4 → 101

Calls

4 calls:

8.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
8.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2003 to 440 computations (78% saved)

series937.0ms (20.5%)

Error

0.4b

Counts

4 → 48

Calls

4 calls:

383.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
269.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
167.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
36.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 3750 to 2555 computations (31.9% saved)

simplify91.0ms (2%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4975	4172
1	4975	4172

prune141.0ms (3.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	150	2	152

Error

0.4b

Counts

152 → 2

Compiler

Compiled 3449 to 1288 computations (62.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite96.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

37×	`*-un-lft-identity_binary64_3147`
24×	`times-frac_binary64_3153`
21×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169`
19×	`log-pow_binary64_3236`
18×	`exp-prod_binary64_3199`
8×	`distribute-lft-out_binary64_3098`
7×	`add-exp-log_binary64_3185`
5×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183`
4×	`associate-/r/_binary64_3093` `associate-/r*_binary64_3091`
3×	`flip3-+_binary64_3150` `flip-+_binary64_3121` `associate-/l*_binary64_3092` `log-prod_binary64_3233`
2×	`div-exp_binary64_3198` `div-inv_binary64_3144`
1×	`inv-pow_binary64_3232` `pow-flip_binary64_3221` `1-exp_binary64_3191` `rec-exp_binary64_3197` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `sum-log_binary64_3238` `+-commutative_binary64_3077` `rem-log-exp_binary64_3188`

Counts

3 → 79

Calls

3 calls:

7.0ms	(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
6.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
3.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 1248 to 970 computations (22.3% saved)

series161.0ms (3.5%)

Error

0.4b

Counts

3 → 18

Calls

3 calls:

98.0ms	(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
35.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
14.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 400 to 391 computations (2.3% saved)

simplify94.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4884	1155
1	4884	1155

prune89.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	97	2	99

Error

0.4b

Counts

99 → 2

Compiler

Compiled 1257 to 970 computations (22.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 b))
0.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
0.5b	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))

rewrite459.0ms (10.1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

134×	`*-un-lft-identity_binary64_3147`
114×	`add-sqr-sqrt_binary64_3169` `sqrt-prod_binary64_3163`
104×	`times-frac_binary64_3153`
62×	`add-cube-cbrt_binary64_3182`
31×	`swap-sqr_binary64_3114`
29×	`pow1_binary64_3208`
27×	`distribute-lft-out_binary64_3098`
24×	`sqrt-pow1_binary64_3165`
21×	`associate-l_binary64_3088` `associate-r_binary64_3087`
16×	`unswap-sqr_binary64_3115`
14×	`add-exp-log_binary64_3185`
12×	`associate-/r/_binary64_3093`
10×	`inv-pow_binary64_3232` `pow-flip_binary64_3221` `add-cbrt-cube_binary64_3183`
9×	`pow-prod-up_binary64_3217`
8×	`pow1/2_binary64_3227` `div-inv_binary64_3144` `associate-/r*_binary64_3091`
7×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
6×	`add-log-exp_binary64_3186` `rem-sqrt-square_binary64_3160` `associate-/l*_binary64_3092`
5×	`pow-prod-down_binary64_3218` `pow-sqr_binary64_3120`
4×	`sqrt-div_binary64_3164` `div-exp_binary64_3198`
3×	`sqr-abs_binary64_3162`
2×	`1-exp_binary64_3191` `rec-exp_binary64_3197` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `sqrt-unprod_binary64_3167` `rem-square-sqrt_binary64_3159` `frac-times_binary64_3157` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `*-commutative_binary64_3078` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

4 → 214

Calls

4 calls:

27.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
8.0ms	(+.f64 1 (exp.f64 b))
6.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
6.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 5721 to 4513 computations (21.1% saved)

series148.0ms (3.2%)

Error

0.4b

Counts

4 → 24

Calls

4 calls:

37.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
35.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
33.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
19.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 910 to 825 computations (9.3% saved)

simplify121.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4915	3553
1	4915	3553

prune338.0ms (7.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	237	1	238
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	237	3	240

Error

0.4b

Counts

240 → 3

Compiler

Compiled 4644 to 3640 computations (21.6% saved)

regimes215.0ms (4.7%)

Accuracy

Total 0.4b remaining (72.9%)

Threshold costs 0.4b (72.9%)

Compiler

Compiled 2069 to 1866 computations (9.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample952.0ms (20.9%)

Algorithm

1×

intervals

Results

236.0ms	8000×	body	128	valid
16.0ms	716×	body	128	overflowed

Compiler

Compiled 368 to 331 computations (10.1% saved)

Details

analyze170.0ms (3.7%)

sample22.0ms (0.5%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite44.0ms (1%)

series229.0ms (5%)

simplify45.0ms (1%)

prune56.0ms (1.2%)

localize11.0ms (0.2%)

rewrite111.0ms (2.4%)

series937.0ms (20.5%)

simplify91.0ms (2%)

prune141.0ms (3.1%)

localize9.0ms (0.2%)

rewrite96.0ms (2.1%)

series161.0ms (3.5%)

simplify94.0ms (2.1%)

prune89.0ms (1.9%)

localize9.0ms (0.2%)

rewrite459.0ms (10.1%)

series148.0ms (3.2%)

simplify121.0ms (2.7%)

prune338.0ms (7.4%)

regimes215.0ms (4.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample952.0ms (20.9%)

Profiling