Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

286×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.0b	(+ x (* y (/ (- z t) (- a t))))
2.0b	(* y (/ (- z t) (- a t)))

rewrite42.0ms

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:

10.0ms	(/ (- z t) (- a t))
2.0ms	(+ x (* y (/ (- z t) (- a t))))
24.0ms	(* y (/ (- z t) (- a t)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- z t) (- a t))
79.0ms	(+ x (* y (/ (- z t) (- a t))))
70.0ms	(* y (/ (- z t) (- a t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	421	747
1	1657	704
2	5001	704

prune285.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
2.0b	(* y (* (- z t) (/ 1 (- a t))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

3.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
6.0ms	(/ 1 (- a t))
27.0ms	(* (- z t) (/ 1 (- a t)))
25.0ms	(* y (* (- z t) (/ 1 (- a t))))

series231.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
35.0ms	(/ 1 (- a t))
53.0ms	(* (- z t) (/ 1 (- a t)))
65.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify60.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	453	788
1	2003	679
2	5001	634

prune305.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
7.0b	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
63×	`cbrt-prod`
54×	`associate-r`
40×	`cbrt-div` `times-frac`
33×	`add-cube-cbrt`
30×	`associate-*l/`
27×	`add-exp-log`
21×	`flip3--` `flip--` `distribute-lft-out--`
20×	`pow1` `frac-times`
19×	`difference-of-squares`
18×	`add-cbrt-cube`
13×	`prod-exp` `cbrt-unprod`
10×	`swap-sqr`
9×	`associate-l`
8×	`pow1/3` `pow-prod-down`
7×	`associate-*r/`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 173

Calls

4 calls:

2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
21.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
130.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (- z t))
159.0ms	(cbrt (- z t))
132.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
71.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

simplify111.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	756	1904
1	3939	1740
2	5002	1625

prune512.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
1.7b	(* (* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt (cbrt (- z t))) (cbrt (- a t))))
5.6b	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (* (cbrt (- a t)) (cbrt (- a t)))))

rewrite696.0ms

Algorithm

rewrite-expression-head

Rules

216×	`cbrt-prod`
148×	`add-exp-log`
139×	`add-sqr-sqrt`
135×	`*-un-lft-identity`
126×	`associate-r`
110×	`cbrt-div`
107×	`associate-*l/`
92×	`times-frac`
85×	`prod-exp` `cbrt-unprod`
77×	`frac-times`
70×	`add-cbrt-cube`
69×	`add-cube-cbrt`
55×	`flip3--` `flip--`
41×	`pow1`
31×	`distribute-lft-out--`
28×	`cbrt-undiv` `div-exp`
27×	`difference-of-squares`
22×	`associate-*r/`
20×	`swap-sqr` `pow-prod-down`
18×	`associate-l`
12×	`pow1/3`
10×	`associate-/r/`
8×	`unswap-sqr`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
2×	`pow2` `pow-plus` `div-inv`

Counts

4 → 357

Calls

4 calls:

20.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
20.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
498.0ms	(* (* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt (cbrt (- z t))) (cbrt (- a t))))
132.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (* (cbrt (- a t)) (cbrt (- a t)))))

series708.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
128.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
62.0ms	(* (* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt (cbrt (- z t))) (cbrt (- a t))))
392.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (* (cbrt (- a t)) (cbrt (- a t)))))

simplify95.0ms

Algorithm

egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1631	8156
1	5002	7286

prune1.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes301.0ms

Accuracy

34.4% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	15
1	24	15

end0.0ms

sample502.0ms

Algorithm

intervals

Results

259.0ms	8747×	body	80	valid
0.0ms	1×	body	320	valid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5