Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

286×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.1b	(* y (/ (- z t) (- z a)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
11.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ x (* y (/ (- z t) (- z a))))
45.0ms	(/ (- z t) (- z a))
62.0ms	(* y (/ (- z t) (- z a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune266.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
1.1b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

2.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
8.0ms	(/ (- z a) (- z t))
12.0ms	(/ 1 (/ (- z a) (- z t)))
32.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series324.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
45.0ms	(/ (- z a) (- z t))
90.0ms	(/ 1 (/ (- z a) (- z t)))
112.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify112.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	954	2833
1	4775	2544
2	5002	2258

prune642.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (/ y (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
1.1b	(/ y (/ (- z a) (- z t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
196×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

2.0ms	(+ x (* 1 (/ y (/ (- z a) (- z t)))))
8.0ms	(/ (- z a) (- z t))
11.0ms	(/ y (/ (- z a) (- z t)))

series244.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ x (* 1 (/ y (/ (- z a) (- z t)))))
54.0ms	(/ (- z a) (- z t))
113.0ms	(/ y (/ (- z a) (- z t)))

simplify82.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	719	1900
1	3219	1841
2	5001	1839

prune504.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (/ 1 (- z a)) (- z t))))
0.0b	(/ 1 (- z a))
0.2b	(* (/ 1 (- z a)) (- z t))
1.1b	(* y (* (/ 1 (- z a)) (- z t)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

4.0ms	(+ x (* y (* (/ 1 (- z a)) (- z t))))
5.0ms	(/ 1 (- z a))
12.0ms	(* (/ 1 (- z a)) (- z t))
17.0ms	(* y (* (/ 1 (- z a)) (- z t)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ x (* y (* (/ 1 (- z a)) (- z t))))
40.0ms	(/ 1 (- z a))
94.0ms	(* (/ 1 (- z a)) (- z t))
114.0ms	(* y (* (/ 1 (- z a)) (- z t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	525	917
1	2273	786
2	5003	750

prune299.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

68% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.1b

bsearch83.0ms

Steps

Iters	Range		Point
9	7.159468409190795e-10	2.601825945442334	0.04300903246507352
9	-3.8377204485276054e-63	-6.676316481220028e-69	-4.428663612682955e-64

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	11
1	32	11
2	32	11

end0.0ms

sample511.0ms

Algorithm

intervals

Results

271.0ms	8706×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid