Details

sample99.0ms

Algorithm

intervals

Results

29.0ms	256×	body	80	valid
29.0ms	269×	body	80	nan

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	50	17
1	106	17
2	374	17
3	1652	17
4	5001	17

prune5.0ms

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: 4.3b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.9b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.0b	(/ (* z (sqrt (+ t a))) t)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
16×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`associate-r`
6×	`pow1` `times-frac` `associate--r+` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `sqrt-div` `div-exp` `associate-/r` `associate-/l`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `associate-*l/` `associate--l+` `clear-num` `div-inv` `associate-/l/` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

7.0ms	(* z (sqrt (+ t a)))
5.0ms	(/ 2.0 (* t 3.0))
13.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms	(/ (* z (sqrt (+ t a))) t)

series340.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* z (sqrt (+ t a)))
16.0ms	(/ 2.0 (* t 3.0))
178.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
82.0ms	(/ (* z (sqrt (+ t a))) t)

simplify41.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1019	1262
1	5001	1200

prune502.0ms

Filtered

113 candidates to 88 candidates (77.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	3	114

Merged error: 0.7b

Counts

114 → 3

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.5b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.9b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
60×	`frac-sub`
58×	`times-frac`
47×	`*-un-lft-identity`
46×	`associate-r`
39×	`frac-times`
35×	`add-cube-cbrt`
31×	`cbrt-prod`
28×	`sqrt-prod`
27×	`associate-*r/`
25×	`add-exp-log` `flip3--` `flip--`
21×	`associate-*l/`
18×	`add-cbrt-cube`
10×	`unswap-sqr`
9×	`flip3-+` `flip-+`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out` `associate--r+` `add-log-exp`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`pow1/3` `associate--l+` `div-inv`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 169

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
26.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
20.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series657.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt t)
172.0ms	(cbrt t)
103.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
213.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify76.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1739	3626
1	5001	3513

prune1.0s

Filtered

181 candidates to 144 candidates (79.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	180	4	184

Merged error: 0.5b

Counts

184 → 4

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
6.0b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
12.2b	(log (exp (cbrt t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-sub`
38×	`frac-times`
26×	`associate-*r/`
25×	`flip3--` `flip--`
20×	`associate-*l/`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
7×	`log-pow`
6×	`exp-prod` `associate--r+` `add-log-exp`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube`
3×	`distribute-rgt-in` `sub-neg` `log-prod` `distribute-lft-in`
2×	`pow1/3` `associate--l+`
1×	`diff-log` `rem-log-exp`

Counts

4 → 100

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
22.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.0ms	(log (exp (cbrt t)))

series753.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt t)
176.0ms	(cbrt t)
216.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
181.0ms	(log (exp (cbrt t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1281	2693
1	5001	2579

prune836.0ms

Filtered

112 candidates to 101 candidates (90.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	112	4	116

Merged error: 0.5b

Counts

116 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
0.0b	(+ (* a c) (* 0.8333333333333334 c))
1.2b	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`associate-r`
7×	`add-sqr-sqrt`
6×	`exp-sum`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-exp-log`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `associate--l+`
2×	`diff-log` `sum-log`
1×	`+-commutative` `distribute-rgt-out` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

10.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
4.0ms	(+ (* a c) (* 0.8333333333333334 c))
7.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series134.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
31.0ms	(+ (* a c) (* 0.8333333333333334 c))
37.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify106.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	259	448
1	966	398
2	3737	386
3	5001	385

prune144.0ms

Filtered

59 candidates to 41 candidates (69.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	58	5	63

Merged error: 0.2b

Counts

63 → 5

regimes320.0ms

Accuracy

-39.4% (3.1b remaining)

Error of 3.6b against oracle of 0.5b and baseline of 2.7b

bsearch387.0ms

Steps

Iters	Range		Point
8	1.0438010246619942e-219	1.2305558358911752e-216	5.820608603212008e-218
8	-2.094290353776123e-67	-2.086103592965978e-70	-2.0653939770625906e-67

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	90	80
1	90	80

end0.0ms

sample2.3s

Algorithm

intervals

Results

842.0ms	8000×	body	80	valid
826.0ms	8203×	body	80	nan

Details

sample99.0ms

simplify37.0ms

prune5.0ms

localize27.0ms

rewrite36.0ms

series340.0ms

simplify41.0ms

prune502.0ms

localize29.0ms

rewrite59.0ms

series657.0ms

simplify76.0ms

prune1.0s

localize32.0ms

rewrite33.0ms

series753.0ms

simplify54.0ms

prune836.0ms

localize15.0ms

rewrite22.0ms

series134.0ms

simplify106.0ms

prune144.0ms

regimes320.0ms

bsearch387.0ms

simplify4.0ms

end0.0ms

sample2.3s

Profiling