Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

333×

body

valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* (- 1.0 x) z))
0.0b	(* (- 1.0 x) z)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

1.0ms	(fma x y (* (- 1.0 x) z))
6.0ms	(* (- 1.0 x) z)

series62.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(fma x y (* (- 1.0 x) z))
31.0ms	(* (- 1.0 x) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	131	158
1	458	135
2	2209	135
3	5001	135

prune78.0ms

Filtered

40 candidates to 30 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Merged error: 0b

Counts

41 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
0.5b	(cbrt (* (- 1.0 x) z))
0.5b	(cbrt (* (- 1.0 x) z))
0.5b	(cbrt (* (- 1.0 x) z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

7.0ms	(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
5.0ms	(cbrt (* (- 1.0 x) z))
8.0ms	(cbrt (* (- 1.0 x) z))
5.0ms	(cbrt (* (- 1.0 x) z))

series445.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
96.0ms	(cbrt (* (- 1.0 x) z))
111.0ms	(cbrt (* (- 1.0 x) z))
119.0ms	(cbrt (* (- 1.0 x) z))

simplify42.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	384	909
1	1242	852
2	5002	799

prune280.0ms

Filtered

92 candidates to 75 candidates (81.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Merged error: 0b

Counts

95 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
4.7b	(* (- (* 1.0 1.0) (* x x)) z)
7.4b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `-commutative` `flip-+` `fma-udef` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

1.0ms	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
9.0ms	(* (- (* 1.0 1.0) (* x x)) z)
9.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series149.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
42.0ms	(* (- (* 1.0 1.0) (* x x)) z)
54.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	322	509
1	1510	434
2	5002	421

prune149.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	71	3	74

Merged error: 0b

Counts

74 → 3

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample441.0ms

Algorithm

intervals

Results

238.0ms

10089×

body

valid

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3