Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify80.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	473	10
1	473	10

prune1.0ms

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

Merged error: 8.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
7.5b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
19×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64`
5×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `insert-posit16` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 57

Calls

2 calls:

7.0ms	(/.f64 x0 (-.f64 1 x1))
15.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

series697.0ms

Counts

2 → 6

Calls

2 calls:

394.0ms	(/.f64 x0 (-.f64 1 x1))
303.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

Iterations

Useful iterations: 0 (218.0ms)

Iter	Nodes	Cost
0	311	261
1	311	261
0	22	28
1	22	28
0	311	261
1	311	261
0	22	28
1	22	28
0	4894	6
1	4894	6
0	271	225
1	271	225
0	16	20
1	16	20
0	271	225
1	271	225
0	16	20
1	16	20
0	4746	3
1	4746	3

simplify106.0ms

Counts

63 → 63

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5455	853

prune38.0ms

Filtered

46 candidates to 63 candidates (-37.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	2	64

Merged error: 6.7b

Counts

64 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (-.f64 1 x1) (-.f64 1 x1))
0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b	(/.f64 x0 (-.f64 1 x1))
6.0b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity_binary64`
49×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64` `times-frac_binary64`
18×	`difference-of-squares_binary64`
11×	`pow1_binary64` `distribute-lft-out--_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `swap-sqr_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
6×	`associate-/r_binary64` `associate-r_binary64` `associate-l*_binary64`
4×	`insert-posit16` `frac-times_binary64`
3×	`sub-neg_binary64` `associate-/l*_binary64`
2×	`associate-r/_binary64` `associate-/r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow-prod-up_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 117

Calls

4 calls:

14.0ms	(*.f64 (-.f64 1 x1) (-.f64 1 x1))
12.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
7.0ms	(/.f64 x0 (-.f64 1 x1))
20.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

series1.2s

Counts

4 → 12

Calls

4 calls:

275.0ms	(*.f64 (-.f64 1 x1) (-.f64 1 x1))
329.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
390.0ms	(/.f64 x0 (-.f64 1 x1))
229.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

Iterations

Useful iterations: 0 (217.0ms)

Iter	Nodes	Cost
0	364	495
1	364	495
0	47	40
1	47	40
0	364	495
1	364	495
0	47	40
1	47	40
0	71	60
1	71	60
0	271	225
1	271	225
0	16	20
1	16	20
0	271	225
1	271	225
0	16	20
1	16	20
0	4746	3
1	4746	3
0	311	261
1	311	261
0	23	29
1	23	29
0	311	261
1	311	261
0	23	29
1	23	29
0	4894	15
1	4894	15
0	200	255
1	200	255
0	12	9
1	12	9
0	200	255
1	200	255
0	12	9
1	12	9
0	5096	12

simplify43.0ms

Counts

129 → 129

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	582	1807
1	582	1807

prune108.0ms

Filtered

85 candidates to 129 candidates (-51.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	129	2	131

Merged error: 5.5b

Counts

131 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
6.0b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
6.7b	(-.f64 (.f64 x0 x0) (.f64 (/.f64 x0 (-.f64 1 x1)) (/.f64 x0 (-.f64 1 x1))))
7.5b	(-.f64 x0 (/.f64 x0 (-.f64 1 x1)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
31×	`*-un-lft-identity_binary64`
20×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
13×	`difference-of-squares_binary64`
10×	`add-log-exp_binary64`
6×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
4×	`pow1_binary64` `flip3--_binary64` `insert-posit16` `flip--_binary64`
3×	`sub-neg_binary64` `diff-log_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 85

Calls

4 calls:

7.0ms	(/.f64 x0 (-.f64 1 x1))
19.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
5.0ms	(-.f64 (.f64 x0 x0) (.f64 (/.f64 x0 (-.f64 1 x1)) (/.f64 x0 (-.f64 1 x1))))
13.0ms	(-.f64 x0 (/.f64 x0 (-.f64 1 x1)))

series1.4s

Counts

4 → 12

Calls

4 calls:

396.0ms	(/.f64 x0 (-.f64 1 x1))
228.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
453.0ms	(-.f64 (.f64 x0 x0) (.f64 (/.f64 x0 (-.f64 1 x1)) (/.f64 x0 (-.f64 1 x1))))
320.0ms	(-.f64 x0 (/.f64 x0 (-.f64 1 x1)))

Iterations

Useful iterations: 0 (220.0ms)

Iter	Nodes	Cost
0	311	261
1	311	261
0	25	29
1	25	29
0	311	261
1	311	261
0	25	29
1	25	29
0	6383	6
0	397	687
1	397	687
0	31	26
1	31	26
0	397	687
1	397	687
0	31	26
1	31	26
0	4746	3
1	4746	3
0	364	495
1	364	495
0	47	40
1	47	40
0	364	495
1	364	495
0	47	40
1	47	40
0	71	60
1	71	60
0	271	225
1	271	225
0	16	20
1	16	20
0	271	225
1	271	225
0	16	20
1	16	20
0	4746	3
1	4746	3

simplify39.0ms

Counts

97 → 97

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	767	1762
1	767	1762

prune129.0ms

Filtered

72 candidates to 97 candidates (-34.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	97	2	99

Merged error: 3.5b

Counts

99 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

4.3b	(log.f64 (exp.f64 (-.f64 (.f64 x0 x0) (.f64 (/.f64 x0 (-.f64 1 x1)) (/.f64 x0 (-.f64 1 x1))))))
6.0b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
6.7b	(-.f64 (.f64 x0 x0) (.f64 (/.f64 x0 (-.f64 1 x1)) (/.f64 x0 (-.f64 1 x1))))
7.5b	(-.f64 x0 (/.f64 x0 (-.f64 1 x1)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
6×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
5×	`pow1_binary64` `log-pow_binary64`
4×	`sub-neg_binary64` `log-prod_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `exp-prod_binary64`
3×	`flip3--_binary64` `diff-log_binary64` `flip--_binary64`
2×	`distribute-lft-out--_binary64` `times-frac_binary64`
1×	`rem-log-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `log-div_binary64`

Counts

4 → 62

Calls

4 calls:

6.0ms	(log.f64 (exp.f64 (-.f64 (.f64 x0 x0) (.f64 (/.f64 x0 (-.f64 1 x1)) (/.f64 x0 (-.f64 1 x1))))))
18.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
6.0ms	(-.f64 (.f64 x0 x0) (.f64 (/.f64 x0 (-.f64 1 x1)) (/.f64 x0 (-.f64 1 x1))))
13.0ms	(-.f64 x0 (/.f64 x0 (-.f64 1 x1)))

series1.3s

Counts

4 → 12

Calls

4 calls:

273.0ms	(log.f64 (exp.f64 (-.f64 (.f64 x0 x0) (.f64 (/.f64 x0 (-.f64 1 x1)) (/.f64 x0 (-.f64 1 x1))))))
222.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
448.0ms	(-.f64 (.f64 x0 x0) (.f64 (/.f64 x0 (-.f64 1 x1)) (/.f64 x0 (-.f64 1 x1))))
321.0ms	(-.f64 x0 (/.f64 x0 (-.f64 1 x1)))

Iterations

Useful iterations: 0 (215.0ms)

Iter	Nodes	Cost
0	311	261
1	311	261
0	25	29
1	25	29
0	311	261
1	311	261
0	25	29
1	25	29
0	6383	6
0	397	687
1	397	687
0	31	26
1	31	26
0	397	687
1	397	687
0	31	26
1	31	26
0	4746	3
1	4746	3
0	364	495
1	364	495
0	47	40
1	47	40
0	364	495
1	364	495
0	47	40
1	47	40
0	71	60
1	71	60
0	495	1077
1	495	1077
0	36	32
1	36	32
0	495	1077
1	495	1077
0	36	32
1	36	32
0	21	3
1	21	3

simplify38.0ms

Counts

74 → 74

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	619	1761
1	619	1761

prune106.0ms

Filtered

58 candidates to 74 candidates (-27.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	74	2	76

Merged error: 3.3b

Counts

76 → 2

regimes31.0ms

Accuracy

100% (0.0b remaining)

Error of 3.3b against oracle of 3.3b and baseline of 4.5b

bsearch0.0ms

Steps

Iters	Range		Point
0	0.9814	0.999791	0.9905955

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	101	130
1	101	130

end0.0ms

sample462.0ms

Algorithm

intervals

Results

202.0ms	8000×	pre	80	true
168.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample16.0ms

simplify80.0ms

prune1.0ms

localize5.0ms

rewrite24.0ms

series697.0ms

simplify106.0ms

prune38.0ms

localize11.0ms

rewrite57.0ms

series1.2s

simplify43.0ms

prune108.0ms

localize18.0ms

rewrite47.0ms

series1.4s

simplify39.0ms

prune129.0ms

localize20.0ms

rewrite45.0ms

series1.3s

simplify38.0ms

prune106.0ms

regimes31.0ms

bsearch0.0ms

simplify8.0ms

end0.0ms

sample462.0ms

Profiling