Details

analyze602.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	154
1	43	154
0	4	4
1	4	4

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
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	15×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	22
1	16	22

prune3.0ms (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

24.9b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.2b	(+.f64 (.f64 a c) (.f64 b d))
24.4b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite72.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

24.8b

Rules

10×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
9×	`times-frac_binary64_3153`
4×	`add-exp-log_binary64_3185` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183`
3×	`flip3-+_binary64_3150` `flip-+_binary64_3121` `associate-/l_binary64_3092` `associate-/r_binary64_3091`
2×	`pow1_binary64_3208` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093`
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 → 42

Calls

2 calls:

9.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))

Compiler

Compiled 1203 to 160 computations (86.7% saved)

series469.0ms (5.9%)

Error

4.2b

Counts

2 → 51

Calls

2 calls:

300.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
132.0ms	(+.f64 (.f64 a c) (.f64 b d))

Compiler

Compiled 1800 to 1116 computations (38% saved)

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5338	1866

prune77.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	7	94

Error

4.2b

Counts

94 → 7

Compiler

Compiled 1859 to 249 computations (86.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 (.f64 d b) (.f64 c a))
14.1b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
27.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite116.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

23×	`add-sqr-sqrt_binary64_3169`
21×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
18×	`sqrt-prod_binary64_3163` `times-frac_binary64_3153`
6×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sqrt-div_binary64_3164` `associate-/r*_binary64_3091`
5×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
3×	`associate-/l*_binary64_3092`
2×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093`
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

4 → 84

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(+.f64 (.f64 d b) (.f64 c a))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 3211 to 343 computations (89.3% saved)

series878.0ms (11.1%)

Error

4.2b

Counts

4 → 91

Calls

4 calls:

412.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
141.0ms	(+.f64 (.f64 d b) (.f64 c a))
128.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
124.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 5800 to 3093 computations (46.7% saved)

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5005	3540

prune150.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	173	2	175
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	173	9	182

Error

4.2b

Counts

182 → 9

Compiler

Compiled 5245 to 757 computations (85.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 (.f64 d b) (.f64 c a))
14.1b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
27.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite116.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

23×	`add-sqr-sqrt_binary64_3169`
21×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
18×	`sqrt-prod_binary64_3163` `times-frac_binary64_3153`
6×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sqrt-div_binary64_3164` `associate-/r*_binary64_3091`
5×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
3×	`associate-/l*_binary64_3092`
2×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093`
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

4 → 84

Calls

4 calls:

10.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 d b) (.f64 c a))

Compiler

Compiled 3379 to 516 computations (84.7% saved)

series884.0ms (11.2%)

Error

4.2b

Counts

4 → 91

Calls

4 calls:

400.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
145.0ms	(+.f64 (.f64 d b) (.f64 c a))
136.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
126.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 6234 to 3556 computations (43% saved)

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5005	3540

prune158.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	175	9	184

Error

4.2b

Counts

184 → 9

Compiler

Compiled 5568 to 1132 computations (79.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.8b	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a))))
1.2b	(+.f64 (.f64 d b) (.f64 c a))
24.0b	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a)))

rewrite154.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

90×	`times-frac_binary64_3153`
55×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
18×	`associate-/r*_binary64_3091`
16×	`add-exp-log_binary64_3185`
11×	`associate-/r/_binary64_3093`
10×	`add-cbrt-cube_binary64_3183`
8×	`div-exp_binary64_3198`
7×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
6×	`div-inv_binary64_3144` `associate-/l*_binary64_3092`
5×	`add-log-exp_binary64_3186`
4×	`pow1_binary64_3208` `cbrt-undiv_binary64_3181`
2×	`frac-2neg_binary64_3158` `clear-num_binary64_3146` `associate-/l/_binary64_3094` `1-exp_binary64_3191` `rec-exp_binary64_3197`
1×	`sum-log_binary64_3238` `+-commutative_binary64_3077` `inv-pow_binary64_3232` `pow-flip_binary64_3221`

Counts

3 → 126

Calls

3 calls:

12.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a))))
9.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a)))
4.0ms	(+.f64 (.f64 d b) (.f64 c a))

Compiler

Compiled 4271 to 813 computations (81% saved)

series807.0ms (10.2%)

Error

4.2b

Counts

3 → 81

Calls

3 calls:

315.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a))))
286.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a)))
146.0ms	(+.f64 (.f64 d b) (.f64 c a))

Compiler

Compiled 3912 to 2678 computations (31.5% saved)

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5075	6006

prune156.0ms (2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	203	4	207
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	204	12	216

Error

2.2b

Counts

216 → 12

Compiler

Compiled 5094 to 807 computations (84.2% saved)

regimes1.2s (14.8%)

Accuracy

Total 11.6b remaining (79.9%)

Threshold costs 0b (0%)

Compiler

Compiled 8266 to 4566 computations (44.8% saved)

bsearch76.0ms (1%)

Steps

Iters	Range		Point
8	6.723055648386619e+153	3.1399667947280784e+156	7.763217840319456e+153
3	3.4946462575131158e-71	4.573868547616771e-71	3.6077882260244803e-71
8	-1.3287708949657056e-145	-2.576709710941953e-148	-1.2582924314342352e-145
9	-1.0177142332525915e+119	-7.2662373133846635e+112	-2.0933323313511348e+116

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	124
1	36	124

end0.0ms (0%)

sample1.7s (21.4%)

Algorithm

1×

intervals

Results

334.0ms	8000×	body	128	valid
17.0ms	452×	body	128	invalid

Compiler

Compiled 1742 to 950 computations (45.5% saved)

Details

analyze602.0ms (7.6%)

sample23.0ms (0.3%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite72.0ms (0.9%)

series469.0ms (5.9%)

simplify52.0ms (0.7%)

prune77.0ms (1%)

localize12.0ms (0.1%)

rewrite116.0ms (1.5%)

series878.0ms (11.1%)

simplify55.0ms (0.7%)

prune150.0ms (1.9%)

localize14.0ms (0.2%)

rewrite116.0ms (1.5%)

series884.0ms (11.2%)

simplify54.0ms (0.7%)

prune158.0ms (2%)

localize11.0ms (0.1%)

rewrite154.0ms (1.9%)

series807.0ms (10.2%)

simplify78.0ms (1%)

prune156.0ms (2%)

regimes1.2s (14.8%)

bsearch76.0ms (1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (21.4%)

Profiling