Details

sample96.0ms

Algorithm

intervals

Results

25.0ms	260×	body	80	nan
24.0ms	256×	body	80	valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5247	33

prune21.0ms

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: 4.3b

Counts

2 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.3b	(/ (sqrt (+ t a)) t)
2.1b	(* z (/ (sqrt (+ t a)) t))
3.8b	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
47×	`times-frac`
45×	`add-sqr-sqrt`
37×	`add-cube-cbrt`
29×	`sqrt-prod`
25×	`associate-r`
19×	`associate-*r/`
16×	`add-exp-log` `add-cbrt-cube`
14×	`frac-add`
10×	`associate-/l*`
8×	`frac-times` `flip3--` `flip--`
7×	`distribute-lft-out`
6×	`pow1` `frac-sub` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `associate-+r+` `div-exp` `associate-/r*`
3×	`associate-l` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `sqrt-div` `associate-*l/` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 140

Calls

4 calls:

4.0ms	(/ 2.0 (* t 3.0))
6.0ms	(/ (sqrt (+ t a)) t)
11.0ms	(* z (/ (sqrt (+ t a)) t))
13.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

series80.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 2.0 (* t 3.0))
11.0ms	(/ (sqrt (+ t a)) t)
16.0ms	(* z (/ (sqrt (+ t a)) t))
51.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4965	2752
1	4965	2752

prune283.0ms

Filtered

106 candidates to 152 candidates (-43.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	149	3	152
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	150	4	154

Merged error: 1.0b

Counts

154 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt (+ t a)) t)
2.1b	(* z (/ (sqrt (+ t a)) t))
4.1b	(log (exp (/ 2.0 (* t 3.0))))
4.6b	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (log (exp (/ 2.0 (* t 3.0)))) (+ a (/ 5.0 6.0)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
47×	`times-frac`
40×	`add-cube-cbrt`
29×	`sqrt-prod`
25×	`associate-r`
11×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
10×	`associate-+r+`
9×	`log-prod`
8×	`frac-add` `log-pow`
7×	`pow1` `exp-prod` `distribute-lft-out` `associate-/l*`
6×	`flip3--` `associate--l+` `flip--` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`frac-times`
3×	`associate-l` `associate-/r*` `div-inv` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `sqrt-div` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-2neg` `rem-log-exp` `pow-prod-down` `clear-num` `sum-log` `*-commutative`

Counts

4 → 138

Calls

4 calls:

8.0ms	(/ (sqrt (+ t a)) t)
11.0ms	(* z (/ (sqrt (+ t a)) t))
4.0ms	(log (exp (/ 2.0 (* t 3.0))))
14.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (log (exp (/ 2.0 (* t 3.0)))) (+ a (/ 5.0 6.0)))))

series82.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ (sqrt (+ t a)) t)
16.0ms	(* z (/ (sqrt (+ t a)) t))
2.0ms	(log (exp (/ 2.0 (* t 3.0))))
49.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (log (exp (/ 2.0 (* t 3.0)))) (+ a (/ 5.0 6.0)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5008	2378

prune287.0ms

Filtered

105 candidates to 150 candidates (-42.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	150	4	154

Merged error: 1.0b

Counts

154 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))))
0.0b	(* c (+ a 0.8333333333333334))
0.0b	(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
2.0b	(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`associate-r`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`add-exp-log`
8×	`unpow-prod-up` `add-cbrt-cube`
7×	`pow1` `unpow-prod-down`
6×	`associate-l` `associate--l+` `add-log-exp`
4×	`distribute-rgt-in` `pow-pow` `distribute-lft-in` `prod-exp` `unswap-sqr`
3×	`sub-neg` `pow-unpow` `exp-prod` `associate-*r/` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `pow-sub`
1×	`flip3--` `flip3-+` `diff-log` `pow-prod-down` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 92

Calls

4 calls:

6.0ms	(* y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))))
6.0ms	(* c (+ a 0.8333333333333334))
6.0ms	(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
6.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

series59.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))))
5.0ms	(* c (+ a 0.8333333333333334))
18.0ms	(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
8.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

simplify64.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4997	1281
1	4997	1281

prune173.0ms

Filtered

75 candidates to 104 candidates (-38.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	103	5	108

Merged error: 0.2b

Counts

108 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- c b))
0.0b	(pow (exp (+ (* c 0.8333333333333334) (* a (- c b)))) 2.0)
0.0b	(exp (+ (* c 0.8333333333333334) (* a (- c b))))
0.4b	(log (pow (exp (pow (exp (+ (* c 0.8333333333333334) (* a (- c b)))) 2.0)) y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
7×	`pow1` `add-exp-log` `unpow-prod-down` `log-prod` `add-log-exp`
6×	`exp-prod` `add-cbrt-cube`
5×	`associate-r`
4×	`pow-pow`
3×	`pow-unpow` `rem-log-exp` `associate-l`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `associate-*r/` `exp-sum` `pow-exp` `rem-exp-log` `sqr-pow`
1×	`flip3--` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

6.0ms	(* a (- c b))
6.0ms	(pow (exp (+ (* c 0.8333333333333334) (* a (- c b)))) 2.0)
5.0ms	(exp (+ (* c 0.8333333333333334) (* a (- c b))))
5.0ms	(log (pow (exp (pow (exp (+ (* c 0.8333333333333334) (* a (- c b)))) 2.0)) y))

series135.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* a (- c b))
20.0ms	(pow (exp (+ (* c 0.8333333333333334) (* a (- c b)))) 2.0)
11.0ms	(exp (+ (* c 0.8333333333333334) (* a (- c b))))
96.0ms	(log (pow (exp (pow (exp (+ (* c 0.8333333333333334) (* a (- c b)))) 2.0)) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5075	1044

prune161.0ms

Filtered

62 candidates to 90 candidates (-45.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	2	0	2
Picked	0	1	1
Done	1	1	2
Total	91	4	95

Merged error: 0.0b

Counts

95 → 4

regimes718.0ms

Accuracy

-3.5% (3.4b remaining)

Error of 3.5b against oracle of 0.1b and baseline of 3.4b

bsearch47.0ms

Steps

Iters	Range		Point
10	1.1977441295579083e+169	2.5968037686209305e+181	4.103590587062169e+175

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	57
1	55	57

end0.0ms

sample2.7s

Algorithm

intervals

Results

802.0ms	8000×	body	80	valid
771.0ms	8030×	body	80	nan

Details

sample96.0ms

simplify26.0ms

prune21.0ms

localize25.0ms

rewrite39.0ms

series80.0ms

simplify48.0ms

prune283.0ms

localize27.0ms

rewrite42.0ms

series82.0ms

simplify52.0ms

prune287.0ms

localize16.0ms

rewrite27.0ms

series59.0ms

simplify64.0ms

prune173.0ms

localize19.0ms

rewrite24.0ms

series135.0ms

simplify48.0ms

prune161.0ms

regimes718.0ms

bsearch47.0ms

simplify1.0ms

end0.0ms

sample2.7s

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