Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

276×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.7b	(* y (/ (- z t) (- a t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`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×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
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 → 122

Calls

3 calls:

4.0ms	(+ x (* y (/ (- z t) (- a t))))
10.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ x (* y (/ (- z t) (- a t))))
56.0ms	(/ (- z t) (- a t))
75.0ms	(* y (/ (- z t) (- a t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	433	776
1	1705	730
2	5002	730

prune360.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (/ (- z t) (- a t))) x)
0.0b	(/ (- z t) (- a t))
1.7b	(* y (/ (- z t) (- a t)))

rewrite41.0ms

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×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 120

Calls

3 calls:

11.0ms	(+ (* y (/ (- z t) (- a t))) x)
9.0ms	(/ (- z t) (- a t))
15.0ms	(* y (/ (- z t) (- a t)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (* y (/ (- z t) (- a t))) x)
52.0ms	(/ (- z t) (- a t))
74.0ms	(* y (/ (- z t) (- a t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	435	778
1	1689	734
2	5002	734

prune357.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (/ 1 (/ (- a t) (- z t)))) x)
0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
1.7b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite107.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `fma-def` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 347

Calls

4 calls:

18.0ms	(+ (* y (/ 1 (/ (- a t) (- z t)))) x)
10.0ms	(/ (- a t) (- z t))
14.0ms	(/ 1 (/ (- a t) (- z t)))
37.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series585.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(+ (* y (/ 1 (/ (- a t) (- z t)))) x)
49.0ms	(/ (- a t) (- z t))
147.0ms	(/ 1 (/ (- a t) (- z t)))
158.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify128.0ms

Algorithm

egg-herbie

Counts

359 → 359

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	968	2884
1	4800	2593
2	5001	2593

prune914.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1 (/ y (/ (- a t) (- z t)))) x)
0.0b	(/ (- a t) (- z t))
1.7b	(/ y (/ (- a t) (- z t)))

rewrite53.0ms

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` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `fma-def` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 213

Calls

3 calls:

17.0ms	(+ (* 1 (/ y (/ (- a t) (- z t)))) x)
9.0ms	(/ (- a t) (- z t))
13.0ms	(/ y (/ (- a t) (- z t)))

series455.0ms

Counts

3 → 9

Calls

3 calls:

231.0ms	(+ (* 1 (/ y (/ (- a t) (- z t)))) x)
57.0ms	(/ (- a t) (- z t))
166.0ms	(/ y (/ (- a t) (- z t)))

simplify101.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	730	1937
1	3204	1872
2	5001	1869

prune646.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes203.0ms

Accuracy

63% (0.4b remaining)

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

bsearch94.0ms

Steps

Iters	Range		Point
8	5.356607675670269e+24	1.259208903939255e+29	5.493382752707537e+24
9	-1.0795662706341059e-63	-7.932936434319813e-72	-8.069160433662235e-64

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	16
1	34	16
2	34	16

end0.0ms

sample522.0ms

Algorithm

intervals

Results

272.0ms

8701×

body

valid