Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

331×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	45	4
3	84	4
4	125	4
5	149	4
6	170	4
7	284	4
8	491	4
9	824	4
10	1344	4
11	2576	4
12	3873	4
13	5001	4

prune2.0ms

Filtered

1 candidates to 0 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: 6.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
6.3b	(/ (* y (- z x)) t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

6.0ms	(* y (- z x))
4.0ms	(+ x (/ (* y (- z x)) t))
7.0ms	(/ (* y (- z x)) t)

series119.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* y (- z x))
34.0ms	(+ x (/ (* y (- z x)) t))
48.0ms	(/ (* y (- z x)) t)

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	290	325
1	1223	280
2	5001	280

prune114.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	7	71

Merged error: 0b

Counts

71 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ 1 (/ t (* y (- z x)))))
0.3b	(/ 1 (/ t (* y (- z x))))
6.3b	(/ t (* y (- z x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
31×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`flip3--` `flip--` `associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

6.0ms	(* y (- z x))
10.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
8.0ms	(/ 1 (/ t (* y (- z x))))
6.0ms	(/ t (* y (- z x)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* y (- z x))
38.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
50.0ms	(/ 1 (/ t (* y (- z x))))
40.0ms	(/ t (* y (- z x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	447	816
1	2087	669
2	5002	652

prune174.0ms

Filtered

138 candidates to 75 candidates (54.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	138	7	145

Merged error: 0b

Counts

145 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (* (* y (- z x)) (/ 1 t)))
6.4b	(* (* y (- z x)) (/ 1 t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

6.0ms	(* y (- z x))
3.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
10.0ms	(* (* y (- z x)) (/ 1 t))

series116.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* y (- z x))
33.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
45.0ms	(* (* y (- z x)) (/ 1 t))

simplify53.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	417	472
1	2153	394
2	5002	380

prune122.0ms

Filtered

88 candidates to 52 candidates (59.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	88	7	95

Merged error: 0b

Counts

95 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

6.3b	(/ (* (* (cbrt (* y (- z x))) (cbrt (* y (- z x)))) (cbrt (* y (- z x)))) t)
9.5b	(cbrt (* y (- z x)))
9.5b	(cbrt (* y (- z x)))
9.5b	(cbrt (* y (- z x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

68×	`associate-*r/`
60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-/l/`
14×	`associate-*l/`
13×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `times-frac` `pow1/3` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 82

Calls

4 calls:

13.0ms	(/ (* (* (cbrt (* y (- z x))) (cbrt (* y (- z x)))) (cbrt (* y (- z x)))) t)
4.0ms	(cbrt (* y (- z x)))
4.0ms	(cbrt (* y (- z x)))
4.0ms	(cbrt (* y (- z x)))

series556.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ (* (* (cbrt (* y (- z x))) (cbrt (* y (- z x)))) (cbrt (* y (- z x)))) t)
162.0ms	(cbrt (* y (- z x)))
160.0ms	(cbrt (* y (- z x)))
153.0ms	(cbrt (* y (- z x)))

simplify38.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	337	896
1	1083	754
2	5002	684

prune292.0ms

Filtered

94 candidates to 80 candidates (85.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	94	7	101

Merged error: 0b

Counts

101 → 7

regimes149.0ms

Accuracy

79.5% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 6.7b

bsearch78.0ms

Steps

Iters	Range		Point
7	6.074796456101711e+24	1.1418599876238485e+27	5.065644570272115e+25
10	-0.00011291202415345404	-1.5628183589111342e-18	-7.169521309202435e-11

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms

sample606.0ms

Algorithm

intervals

Results

334.0ms

10643×

body

valid