Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

279×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	44	4
2	82	4
3	132	4
4	175	4
5	208	4
6	221	4
7	221	4

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* z (- y t)) 2.0)
0.0b	(* z (- y t))
7.4b	(/ x (/ (* z (- y t)) 2.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
5×	`pow1` `associate-r`
4×	`associate-r/` `associate-/l`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `clear-num` `flip--` `associate-/l/`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 97

Calls

3 calls:

7.0ms	(/ (* z (- y t)) 2.0)
11.0ms	(* z (- y t))
7.0ms	(/ x (/ (* z (- y t)) 2.0))

series127.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (* z (- y t)) 2.0)
33.0ms	(* z (- y t))
45.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	413	592
1	1829	518
2	5002	515

prune219.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.2b	(/ (/ x z) (/ (- y t) 2.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

637×	`times-frac`
351×	`add-sqr-sqrt` `*-un-lft-identity`
267×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
35×	`div-inv`
19×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `associate-/l/` `add-log-exp`

Counts

1 → 299

Calls

1 calls:

17.0ms

(/ (/ x z) (/ (- y t) 2.0))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ (/ x z) (/ (- y t) 2.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1564	3639
1	5001	3548

prune748.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (- y t) 2.0))
0.6b	(cbrt (/ (- y t) 2.0))
0.6b	(cbrt (/ (- y t) 2.0))
3.9b	(/ (/ x z) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
63×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`cbrt-prod`
45×	`add-cube-cbrt`
16×	`add-exp-log`
13×	`associate-/l*`
12×	`add-cbrt-cube`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-div`
6×	`cbrt-undiv` `div-exp` `div-inv`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r/`
2×	`prod-exp` `cbrt-unprod`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r*` `associate-/l/`

Counts

4 → 133

Calls

4 calls:

3.0ms	(cbrt (/ (- y t) 2.0))
3.0ms	(cbrt (/ (- y t) 2.0))
3.0ms	(cbrt (/ (- y t) 2.0))
16.0ms	(/ (/ x z) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0))))

series936.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(cbrt (/ (- y t) 2.0))
210.0ms	(cbrt (/ (- y t) 2.0))
214.0ms	(cbrt (/ (- y t) 2.0))
285.0ms	(/ (/ x z) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0))))

simplify51.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	557	1397
1	1720	1310
2	5002	1298

prune489.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.3b	(* (/ (cbrt x) (/ (- y t) (cbrt x))) (* (/ (cbrt x) z) 2.0))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

384×	`times-frac`
250×	`add-sqr-sqrt` `*-un-lft-identity`
209×	`associate-l`
201×	`cbrt-prod`
178×	`add-cube-cbrt`
40×	`add-exp-log`
36×	`distribute-lft-out--` `difference-of-squares`
28×	`add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `div-exp`
9×	`pow1`
7×	`div-inv`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `associate-r/` `associate-r` `associate-/r/` `-commutative`

Counts

4 → 274

Calls

4 calls:

0.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
96.0ms	(* (/ (cbrt x) (/ (- y t) (cbrt x))) (* (/ (cbrt x) z) 2.0))

series661.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt x)
178.0ms	(cbrt x)
179.0ms	(cbrt x)
110.0ms	(* (/ (cbrt x) (/ (- y t) (cbrt x))) (* (/ (cbrt x) z) 2.0))

simplify97.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	893	2839
1	3884	2456
2	5001	2407

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

55.7% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 5.3b

bsearch63.0ms

Steps

Iters	Range		Point
9	7.057717429749845e-42	3.5276053561013562e-34	4.536023366252226e-37
6	-7.081229578003571e-128	-4.508223937620286e-129	-6.93799498024277e-128

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	17
1	26	17

end0.0ms

sample464.0ms

Algorithm

intervals

Results

253.0ms

8761×

body

valid