Details

sample75.0ms

Algorithm

intervals

Results

22.0ms	271×	body	80	nan
18.0ms	256×	body	80	valid

simplify43.0ms

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: 4.0b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.9b	(/ (* z (sqrt (+ t a))) t)

rewrite42.0ms

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:

8.0ms	(* z (sqrt (+ t a)))
5.0ms	(/ 2.0 (* t 3.0))
17.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms	(/ (* z (sqrt (+ t a))) t)

series367.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* z (sqrt (+ t a)))
17.0ms	(/ 2.0 (* t 3.0))
194.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
87.0ms	(/ (* z (sqrt (+ t a))) t)

simplify46.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1019	1262
1	5001	1200

prune570.0ms

Filtered

113 candidates to 88 candidates (77.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	4	114

Merged error: 0.5b

Counts

114 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt (+ t a)) t)
0.3b	(/ 2.0 (* t 3.0))
0.7b	(* z (/ (sqrt (+ t a)) t))
2.1b	(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite44.0ms

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

Counts

4 → 143

Calls

4 calls:

7.0ms	(/ (sqrt (+ t a)) t)
5.0ms	(/ 2.0 (* t 3.0))
12.0ms	(* z (/ (sqrt (+ t a)) t))
14.0ms	(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series397.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (sqrt (+ t a)) t)
22.0ms	(/ 2.0 (* t 3.0))
107.0ms	(* z (/ (sqrt (+ t a)) t))
199.0ms	(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (49.0ms)

Iter	Nodes	Cost
0	1082	1581
1	5001	1509

prune688.0ms

Filtered

155 candidates to 112 candidates (72.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	155	4	159

Merged error: 0.5b

Counts

159 → 4

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
3.1b	(log (exp (/ 2.0 (* t 3.0))))
3.5b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
7.9b	(/ (* z (sqrt (+ t a))) t)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

5.0ms	(/ 2.0 (* t 3.0))
4.0ms	(log (exp (/ 2.0 (* t 3.0))))
13.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
8.0ms	(/ (* z (sqrt (+ t a))) t)

series324.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ 2.0 (* t 3.0))
18.0ms	(log (exp (/ 2.0 (* t 3.0))))
198.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
89.0ms	(/ (* z (sqrt (+ t a))) t)

simplify101.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	768	1017
1	3739	918
2	5001	917

prune618.0ms

Filtered

101 candidates to 79 candidates (78.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	101	4	105

Merged error: 0.5b

Counts

105 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))))
0.0b	(+ (* a c) (* 0.8333333333333334 c))
0.0b	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
0.7b	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

7.0ms	(+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))))
4.0ms	(+ (* a c) (* 0.8333333333333334 c))
11.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
7.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series227.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))))
33.0ms	(+ (* a c) (* 0.8333333333333334 c))
73.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
36.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify141.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	323	620
1	1183	561
2	4549	549
3	5002	549

prune212.0ms

Filtered

73 candidates to 52 candidates (71.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	0	1
Picked	1	0	1
Done	1	1	2
Total	74	3	77

Merged error: 0.2b

Counts

77 → 3

regimes216.0ms

Accuracy

0% (2.2b remaining)

Error of 3.3b against oracle of 1.1b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	17
1	36	17

end0.0ms

sample1.9s

Algorithm

intervals

Results

614.0ms	8000×	body	80	valid
572.0ms	7924×	body	80	nan