Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

332×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	34	3
2	72	3
3	100	3
4	108	3
5	108	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
8.1b	(* t (* y (- x z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`*-un-lft-identity`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

9.0ms	(* y (- x z))
12.0ms	(* t (* y (- x z)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* y (- x z))
46.0ms	(* t (* y (- x z)))

simplify31.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	201	242
1	924	211
2	5001	211

prune97.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

7.6b	(* (* t y) (- x z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

11.0ms

(* (* t y) (- x z))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* (* t y) (- x z))

simplify100.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	177	134
1	820	111
2	4326	111
3	5002	111

prune62.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

7.6b	(* (- x z) (* t y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `associate-*l/`
1×	`flip3--` `associate-r` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 22

Calls

1 calls:

12.0ms

(* (- x z) (* t y))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (- x z) (* t y))

simplify61.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	148	115
1	514	92
2	2470	92
3	5002	92

prune51.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x z))
0.5b	(* (cbrt (- x z)) (cbrt (- x z)))
3.9b	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))
3.9b	(* (cbrt (- x z)) (* t y))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
38×	`cbrt-prod`
37×	`pow1`
36×	`associate-*l/`
35×	`add-sqr-sqrt` `flip3--` `flip--`
33×	`*-un-lft-identity`
32×	`add-exp-log` `frac-times`
20×	`pow-prod-down`
19×	`prod-exp` `cbrt-unprod`
18×	`add-cbrt-cube`
17×	`associate-l`
15×	`add-cube-cbrt`
10×	`associate-r/` `swap-sqr` `associate-r*`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 150

Calls

4 calls:

2.0ms	(cbrt (- x z))
19.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
52.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))
13.0ms	(* (cbrt (- x z)) (* t y))

series607.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (- x z))
119.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
47.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))
293.0ms	(* (cbrt (- x z)) (* t y))

simplify76.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	615	1618
1	2426	1417
2	5002	1324

prune307.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

58.6% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 6.8b

bsearch49.0ms

Steps

Iters	Range		Point
7	6.729132434316701e-11	1.7888545263047805e-09	4.2319166616304514e-10
6	-3.820912317813389e+31	-7.83956973573719e+30	-1.6836198224304e+31

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	6
1	22	6

end0.0ms

sample556.0ms

Algorithm

intervals

Results

286.0ms

10722×

body

valid