Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

260×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8

prune3.0ms

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: 16.8b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.8b	(/ (* y z) t)
6.0b	(/ (* y b) t)
12.6b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

4.0ms	(+ x (/ (* y z) t))
8.0ms	(/ (* y z) t)
4.0ms	(/ (* y b) t)
13.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (/ (* y z) t))
17.0ms	(/ (* y z) t)
21.0ms	(/ (* y b) t)
132.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	454	843
1	1942	782
2	5001	782

prune286.0ms

Filtered

113 candidates to 73 candidates (64.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	99	14	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	14	114

Merged error: 11.2b

Counts

114 → 14

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.1b	(* y (/ b t))
4.8b	(/ (* y z) t)
12.6b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`distribute-lft-out` `associate-/l*`
4×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `flip-+`
3×	`associate-r/` `associate-l*` `prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 102

Calls

4 calls:

5.0ms	(+ x (/ (* y z) t))
7.0ms	(* y (/ b t))
4.0ms	(/ (* y z) t)
11.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

series158.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (/ (* y z) t))
18.0ms	(* y (/ b t))
19.0ms	(/ (* y z) t)
94.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	519	791
1	2261	730
2	5001	730

prune263.0ms

Filtered

114 candidates to 78 candidates (68.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	116	12	128

Merged error: 10.8b

Counts

128 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ t z)))
4.1b	(* y (/ b t))
5.0b	(/ y (/ t z))
12.6b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
73×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
13×	`associate-r`
7×	`div-inv` `associate-/l*`
6×	`pow1` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
4×	`flip3-+` `flip-+`
3×	`associate-r/` `associate-l*`
2×	`frac-2neg` `frac-add` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 151

Calls

4 calls:

15.0ms	(+ x (/ y (/ t z)))
7.0ms	(* y (/ b t))
6.0ms	(/ y (/ t z))
19.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

series300.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ x (/ y (/ t z)))
18.0ms	(* y (/ b t))
22.0ms	(/ y (/ t z))
228.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

simplify73.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	717	1156
1	3027	1090
2	5001	1089

prune394.0ms

Filtered

163 candidates to 121 candidates (74.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	161	14	175

Merged error: 10.7b

Counts

175 → 14

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
4.1b	(* y (/ b t))
5.3b	(* y (/ z t))
12.6b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* y (/ b t))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
29×	`times-frac`
28×	`add-cube-cbrt` `*-un-lft-identity`
26×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`flip3-+` `associate-*r/` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-/r` `div-inv` `associate-/l`
2×	`pow-prod-down` `frac-add` `*-commutative` `associate-/l/`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 108

Calls

4 calls:

3.0ms	(+ x (* y (/ z t)))
6.0ms	(* y (/ b t))
6.0ms	(* y (/ z t))
13.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* y (/ b t))))

series158.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (* y (/ z t)))
18.0ms	(* y (/ b t))
17.0ms	(* y (/ z t))
96.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* y (/ b t))))

simplify63.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	553	784
1	2338	723
2	5002	723

prune297.0ms

Filtered

120 candidates to 86 candidates (71.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	120	14	134

Merged error: 10.7b

Counts

134 → 14

regimes483.0ms

Accuracy

48.2% (3.3b remaining)

Error of 13.8b against oracle of 10.5b and baseline of 16.8b

bsearch120.0ms

Steps

Iters	Range		Point
10	1.5230740009431512e-34	1.7168893682766955e-18	1.42215465614168e-22
8	-6.844503394619681e-174	-5.943960028792955e-178	-6.737986829591535e-174

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	25
1	46	25

end0.0ms

sample721.0ms

Algorithm

intervals

Results

431.0ms

8266×

body

valid