Details

analyze211.0ms (4.3%)

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)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	24×	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%)

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 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite51.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

21×	`*-un-lft-identity_binary64_2465`
12×	`times-frac_binary64_2471`
11×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
5×	`distribute-lft-out_binary64_2416`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `associate-/r*_binary64_2409`
3×	`add-exp-log_binary64_2503` `associate-/l*_binary64_2410`
2×	`pow1_binary64_2526` `flip3-+_binary64_2468` `associate-/r/_binary64_2411` `flip-+_binary64_2439`
1×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `sum-log_binary64_2556` `+-commutative_binary64_2395`

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)

series317.0ms (6.5%)

Error

0.2b

Counts

2 → 24

Calls

2 calls:

239.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
49.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1116 to 744 computations (33.3% saved)

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5229	1560

prune64.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	3	70

Error

0.2b

Counts

70 → 3

Compiler

Compiled 1198 to 419 computations (65% saved)

localize10.0ms (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	(+.f64 (exp.f64 b) (exp.f64 a))
0.0b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite132.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

52×	`*-un-lft-identity_binary64_2465`
36×	`times-frac_binary64_2471` `exp-prod_binary64_2517`
30×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
19×	`log-pow_binary64_2554`
11×	`distribute-lft-out_binary64_2416`
7×	`add-log-exp_binary64_2504`
6×	`add-cbrt-cube_binary64_2501` `associate-/r/_binary64_2411`
5×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
4×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-/r*_binary64_2409`
3×	`div-inv_binary64_2462` `associate-/l*_binary64_2410` `log-prod_binary64_2551`
1×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `rem-log-exp_binary64_2506` `sum-log_binary64_2556` `+-commutative_binary64_2395` `rem-exp-log_binary64_2505`

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

series1.4s (28.1%)

Error

0.2b

Counts

4 → 48

Calls

4 calls:

570.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
434.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
230.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
54.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 3750 to 2555 computations (31.9% saved)

simplify89.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4975	4172
1	4975	4172

prune172.0ms (3.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	149	3	152

Error

0.2b

Counts

152 → 3

Compiler

Compiled 3428 to 1273 computations (62.9% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite54.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

21×	`*-un-lft-identity_binary64_2465`
12×	`times-frac_binary64_2471`
11×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
6×	`add-exp-log_binary64_2503`
5×	`distribute-lft-out_binary64_2416`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `associate-/r*_binary64_2409`
3×	`pow1_binary64_2526` `associate-/l*_binary64_2410`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `div-exp_binary64_2516` `associate-/r/_binary64_2411`
1×	`sum-log_binary64_2556` `+-commutative_binary64_2395` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `1-exp_binary64_2509` `rec-exp_binary64_2515` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462`

Counts

2 → 49

Calls

2 calls:

5.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
3.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 634 to 468 computations (26.2% saved)

series76.0ms (1.6%)

Error

0.2b

Counts

2 → 12

Calls

2 calls:

49.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
17.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 212 to 207 computations (2.4% saved)

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5289	729

prune50.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	61	3	64

Error

0.2b

Counts

64 → 3

Compiler

Compiled 655 to 487 computations (25.6% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite380.0ms (7.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

119×	`*-un-lft-identity_binary64_2465`
114×	`sqrt-prod_binary64_2481`
105×	`add-sqr-sqrt_binary64_2487`
92×	`times-frac_binary64_2471`
53×	`add-cube-cbrt_binary64_2500`
31×	`swap-sqr_binary64_2432`
28×	`pow1_binary64_2526`
24×	`sqrt-pow1_binary64_2483` `distribute-lft-out_binary64_2416`
21×	`associate-l_binary64_2406` `associate-r_binary64_2405`
16×	`unswap-sqr_binary64_2433`
10×	`add-exp-log_binary64_2503` `associate-/r/_binary64_2411`
9×	`inv-pow_binary64_2550` `pow-flip_binary64_2539` `pow-prod-up_binary64_2535`
8×	`pow1/2_binary64_2545` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`
7×	`div-inv_binary64_2462` `flip3-+_binary64_2468` `flip-+_binary64_2439`
6×	`rem-sqrt-square_binary64_2478`
5×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438`
4×	`sqrt-div_binary64_2482` `associate-/r*_binary64_2409`
3×	`sqr-abs_binary64_2480` `associate-/l*_binary64_2410`
2×	`sum-log_binary64_2556` `+-commutative_binary64_2395` `div-exp_binary64_2516`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `sqrt-unprod_binary64_2485` `rem-square-sqrt_binary64_2477` `frac-times_binary64_2475` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `*-commutative_binary64_2396` `1-exp_binary64_2509` `rec-exp_binary64_2515` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464`

Counts

4 → 189

Calls

4 calls:

30.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
6.0ms	(/.f64 1 (+.f64 (exp.f64 b) 1))
4.0ms	(+.f64 (exp.f64 b) 1)
4.0ms	(+.f64 (exp.f64 b) 1)

Compiler

Compiled 4724 to 3643 computations (22.9% saved)

series178.0ms (3.6%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

54.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
53.0ms	(/.f64 1 (+.f64 (exp.f64 b) 1))
23.0ms	(+.f64 (exp.f64 b) 1)
22.0ms	(+.f64 (exp.f64 b) 1)

Compiler

Compiled 802 to 717 computations (10.6% saved)

simplify98.0ms (2%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4920	3178
1	4920	3178

prune255.0ms (5.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	213	3	216

Error

0.2b

Counts

216 → 3

Compiler

Compiled 3658 to 2774 computations (24.2% saved)

regimes248.0ms (5.1%)

Accuracy

Total 0.4b remaining (63.6%)

Threshold costs 0.4b (63.6%)

Compiler

Compiled 2137 to 1996 computations (6.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample983.0ms (20.1%)

Algorithm

1×

intervals

Results

237.0ms	8000×	body	128	valid
16.0ms	712×	body	128	overflowed

Compiler

Compiled 372 to 347 computations (6.7% saved)

Details

analyze211.0ms (4.3%)

sample23.0ms (0.5%)

simplify7.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite51.0ms (1%)

series317.0ms (6.5%)

simplify40.0ms (0.8%)

prune64.0ms (1.3%)

localize10.0ms (0.2%)

rewrite132.0ms (2.7%)

series1.4s (28.1%)

simplify89.0ms (1.8%)

prune172.0ms (3.5%)

localize4.0ms (0.1%)

rewrite54.0ms (1.1%)

series76.0ms (1.6%)

simplify66.0ms (1.3%)

prune50.0ms (1%)

localize6.0ms (0.1%)

rewrite380.0ms (7.8%)

series178.0ms (3.6%)

simplify98.0ms (2%)

prune255.0ms (5.2%)

regimes248.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample983.0ms (20.1%)

Profiling