Details

analyze218.0ms (3.5%)

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)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	13×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify7.0ms (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

0.3b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite83.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

21×	`*-un-lft-identity_binary64_2124`
12×	`times-frac_binary64_2130`
11×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
5×	`distribute-lft-out_binary64_2075`
4×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160` `associate-/r*_binary64_2068`
3×	`add-exp-log_binary64_2162` `associate-/l*_binary64_2069`
2×	`pow1_binary64_2185` `flip3-+_binary64_2127` `associate-/r/_binary64_2070` `flip-+_binary64_2098`
1×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

2 → 45

Calls

2 calls:

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

Compiler

Compiled 674 to 135 computations (80% saved)

series356.0ms (5.7%)

Error

0.2b

Counts

2 → 24

Calls

2 calls:

273.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
50.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1053 to 741 computations (29.6% saved)

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5229	1560

prune92.0ms (1.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	4	70

Error

0.2b

Counts

70 → 4

Compiler

Compiled 1060 to 427 computations (59.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
0.1b	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
2.7b	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite110.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

21×	`*-un-lft-identity_binary64_2124`
13×	`add-sqr-sqrt_binary64_2146`
9×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `add-log-exp_binary64_2163`
8×	`log-prod_binary64_2210` `cancel-sign-sub-inv_binary64_2090`
7×	`exp-sum_binary64_2170`
6×	`log-div_binary64_2211` `exp-prod_binary64_2176`
5×	`log-pow_binary64_2213` `add-exp-log_binary64_2162`
4×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `add-cbrt-cube_binary64_2160` `distribute-lft-out--_binary64_2076` `associate--r-_binary64_2063` `associate--r+_binary64_2060`
3×	`distribute-lft-out_binary64_2075`
2×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `difference-of-squares_binary64_2093` `rem-exp-log_binary64_2164`
1×	`rem-log-exp_binary64_2165` `flip3--_binary64_2128` `flip--_binary64_2099` `exp-diff_binary64_2172` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 74

Calls

4 calls:

8.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
6.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
5.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 1142 to 262 computations (77.1% saved)

series1.0s (16.4%)

Error

0.2b

Counts

4 → 48

Calls

4 calls:

325.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
317.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
260.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
52.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2417 to 1844 computations (23.7% saved)

simplify86.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4984	2498
1	4984	2498

prune130.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	122	4	126

Error

0.2b

Counts

126 → 4

Compiler

Compiled 1696 to 788 computations (53.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.0b	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3))
0.0b	(pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)
0.3b	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)))

rewrite229.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

70×	`cbrt-prod_binary64_2155` `*-un-lft-identity_binary64_2124`
51×	`times-frac_binary64_2130`
44×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
24×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
17×	`associate-/r*_binary64_2068`
13×	`distribute-lft-out_binary64_2075`
6×	`add-exp-log_binary64_2162` `add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160` `unpow3_binary64_2190` `cube-mult_binary64_2154` `sqr-pow_binary64_2096` `cube-div_binary64_2153`
5×	`pow1_binary64_2185`
4×	`flip3-+_binary64_2127` `cbrt-div_binary64_2156` `flip-+_binary64_2098`
3×	`associate-/l*_binary64_2069` `pow-unpow_binary64_2201`
2×	`associate-/r/_binary64_2070`
1×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `rem-cube-cbrt_binary64_2147` `pow1/3_binary64_2206` `rem-cbrt-cube_binary64_2148` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 149

Calls

4 calls:

12.0ms	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)))
6.0ms	(pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2556 to 962 computations (62.4% saved)

series651.0ms (10.5%)

Error

0.2b

Counts

4 → 48

Calls

4 calls:

266.0ms	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)))
213.0ms	(pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)
56.0ms	(+.f64 (exp.f64 b) (exp.f64 a))
53.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3))

Compiler

Compiled 2332 to 1672 computations (28.3% saved)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5224	4599

prune171.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	197	4	201

Error

0.2b

Counts

201 → 4

Compiler

Compiled 2359 to 1051 computations (55.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.0b	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
0.4b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))

rewrite203.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

81×	`*-un-lft-identity_binary64_2124`
60×	`times-frac_binary64_2130`
47×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
42×	`cbrt-prod_binary64_2155`
36×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
17×	`distribute-lft-out_binary64_2075`
10×	`associate-/r/_binary64_2070`
9×	`add-cbrt-cube_binary64_2160`
7×	`add-exp-log_binary64_2162`
6×	`add-log-exp_binary64_2163` `flip3-+_binary64_2127` `flip-+_binary64_2098`
5×	`pow1_binary64_2185` `div-inv_binary64_2121`
4×	`associate-/r*_binary64_2068`
3×	`associate-/l*_binary64_2069` `pow-unpow_binary64_2201`
2×	`cube-div_binary64_2153` `unpow3_binary64_2190` `cube-mult_binary64_2154` `sqr-pow_binary64_2096` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `pow-exp_binary64_2192` `rem-cube-cbrt_binary64_2147`
1×	`pow1/3_binary64_2206` `cbrt-div_binary64_2156` `rem-cbrt-cube_binary64_2148` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 153

Calls

4 calls:

10.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
10.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2227 to 681 computations (69.4% saved)

series1.3s (21.3%)

Error

0.2b

Counts

4 → 48

Calls

4 calls:

662.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
265.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
259.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
55.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 3010 to 2208 computations (26.6% saved)

simplify96.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4956	5507
1	4956	5507

prune188.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	201	4	205

Error

0.2b

Counts

205 → 4

Compiler

Compiled 2757 to 1328 computations (51.8% saved)

regimes488.0ms (7.8%)

Accuracy

Total 0.6b remaining (98.8%)

Threshold costs 0.6b (98.8%)

Compiler

Compiled 4199 to 3272 computations (22.1% 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

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample608.0ms (9.8%)

Algorithm

1×

intervals

Results

235.0ms	8000×	body	128	valid
16.0ms	703×	body	128	overflowed

Compiler

Compiled 66 to 67 computations (-1.5% saved)

Details

analyze218.0ms (3.5%)

sample16.0ms (0.3%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite83.0ms (1.3%)

series356.0ms (5.7%)

simplify37.0ms (0.6%)

prune92.0ms (1.5%)

localize8.0ms (0.1%)

rewrite110.0ms (1.8%)

series1.0s (16.4%)

simplify86.0ms (1.4%)

prune130.0ms (2.1%)

localize9.0ms (0.1%)

rewrite229.0ms (3.7%)

series651.0ms (10.5%)

simplify72.0ms (1.2%)

prune171.0ms (2.7%)

localize8.0ms (0.1%)

rewrite203.0ms (3.3%)

series1.3s (21.3%)

simplify96.0ms (1.5%)

prune188.0ms (3%)

regimes488.0ms (7.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end1.0ms (0%)

sample608.0ms (9.8%)

Profiling