Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

276×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
11.2b	(/ (* y (- z t)) (- a t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

6.0ms	(* y (- z t))
7.0ms	(+ x (/ (* y (- z t)) (- a t)))
9.0ms	(/ (* y (- z t)) (- a t))

series182.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* y (- z t))
74.0ms	(+ x (/ (* y (- z t)) (- a t)))
67.0ms	(/ (* y (- z t)) (- a t))

simplify41.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	334	381
1	1437	342
2	5001	342

prune175.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-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:

31.0ms	(+ x (/ y (/ (- a t) (- z t))))
8.0ms	(/ (- a t) (- z t))
12.0ms	(/ y (/ (- a t) (- z t)))

series317.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ x (/ y (/ (- a t) (- z t))))
46.0ms	(/ (- a t) (- z t))
152.0ms	(/ y (/ (- a t) (- z t)))

simplify77.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	697	1888
1	3051	1835
2	5002	1832

prune515.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

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

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:

7.0ms	(+ x (* y (/ (- z t) (- a t))))
8.0ms	(/ (- z t) (- a t))
14.0ms	(* y (/ (- z t) (- a t)))

series382.0ms

Counts

3 → 9

Calls

3 calls:

268.0ms	(+ x (* y (/ (- z t) (- a t))))
51.0ms	(/ (- z t) (- a t))
63.0ms	(* y (/ (- z t) (- a t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune283.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
9.6b	(* (/ (* (cbrt y) (cbrt y)) (- a t)) (* (- z t) (cbrt y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `prod-exp` `cbrt-unprod`
9×	`pow1` `cbrt-prod` `add-cube-cbrt`
5×	`times-frac` `associate-*l/`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`flip3--` `pow1/3` `pow-prod-down` `flip--`
2×	`frac-times` `associate-*r/` `associate-/r/`
1×	`associate-r` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
15.0ms	(* (/ (* (cbrt y) (cbrt y)) (- a t)) (* (- z t) (cbrt y)))

series700.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt y)
178.0ms	(cbrt y)
177.0ms	(cbrt y)
165.0ms	(* (/ (* (cbrt y) (cbrt y)) (- a t)) (* (- z t) (cbrt y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	358	588
1	1603	455
2	5002	415

prune228.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes146.0ms

Accuracy

62.9% (0.4b remaining)

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

bsearch80.0ms

Steps

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

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample534.0ms

Algorithm

intervals

Results

280.0ms

8701×

body

valid

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5