Details

analyze899.0ms

Algorithm

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify192.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (190.0ms)

Iter	Nodes	Cost
0	5600	11

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
3.0b	(* y (/ (- z t) (- a t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
7.0ms	(/ (- z t) (- a t))
13.0ms	(* y (/ (- z t) (- a t)))

series55.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (* y (/ (- z t) (- a t))))
9.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

simplify43.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4984	1366
1	4984	1366

prune127.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	6	124

Merged error: 0b

Counts

124 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.2b	(* (- z t) (/ 1 (- a t)))
3.0b	(* y (* (- z t) (/ 1 (- a t))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

6.0ms	(/ 1 (- a t))
6.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
13.0ms	(* (- z t) (/ 1 (- a t)))
13.0ms	(* y (* (- z t) (/ 1 (- a t))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ 1 (- a t))
27.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
9.0ms	(* (- z t) (/ 1 (- a t)))
16.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify43.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5210	1285

prune131.0ms

Filtered

87 candidates to 142 candidates (-63.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	142	6	148

Merged error: 0b

Counts

148 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- a t)) (cbrt y)))
2.1b	(* (/ (- z t) (- a t)) (cbrt y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-l`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-r`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`pow1/3` `associate-l/` `associate-/r/` `-commutative`
1×	`flip3--` `associate-*r/` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
15.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- a t)) (cbrt y)))
14.0ms	(* (/ (- z t) (- a t)) (cbrt y))

series102.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
19.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- a t)) (cbrt y)))
40.0ms	(* (/ (- z t) (- a t)) (cbrt y))

simplify53.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5430	1040

prune98.0ms

Filtered

72 candidates to 116 candidates (-61.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	116	6	122

Merged error: 0b

Counts

122 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
10.0b	(/ (* y (- z t)) (- a t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

7.0ms	(+ x (/ (* y (- z t)) (- a t)))
9.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- a t))

series50.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ (* y (- z t)) (- a t)))
7.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) (- a t))

simplify52.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5392	699

prune89.0ms

Filtered

51 candidates to 74 candidates (-45.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	74	6	80

Merged error: 0b

Counts

80 → 6

regimes543.0ms

Accuracy

73.1% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	47
1	38	47

end0.0ms

sample818.0ms

Algorithm

intervals

Results

511.0ms	7999×	body	80	valid
26.0ms	706×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze899.0ms

sample24.0ms

simplify192.0ms

prune13.0ms

localize13.0ms

rewrite29.0ms

series55.0ms

simplify43.0ms

prune127.0ms

localize9.0ms

rewrite42.0ms

series58.0ms

simplify43.0ms

prune131.0ms

localize12.0ms

rewrite36.0ms

series102.0ms

simplify53.0ms

prune98.0ms

localize8.0ms

rewrite27.0ms

series50.0ms

simplify52.0ms

prune89.0ms

regimes543.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample818.0ms

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