Details

sample124.0ms

Algorithm

intervals

Results

38.0ms	57×	body	1280	valid
18.0ms	41×	body	640	valid
17.0ms	114×	body	80	valid
9.0ms	28×	body	320	valid
8.0ms	91×	body	80	nan
5.0ms	2×	body	2560	valid
4.0ms	47×	body	80	overflowed
3.0ms	15×	body	160	valid
3.0ms	8×	body	640	nan
2.0ms	8×	body	320	nan
0.0ms	2×	body	160	nan

simplify220.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	7
1	35	7
2	53	7
3	81	7
4	121	7
5	250	7
6	314	7
7	532	7
8	908	7
9	1397	7
10	1553	7
11	1892	7
12	4682	7
13	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.9b	(+ (- 1.0 y) (* y (exp z)))
1.9b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

5.0ms	(* y (exp z))
22.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
18.0ms	(+ (- 1.0 y) (* y (exp z)))
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series295.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* y (exp z))
161.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
35.0ms	(+ (- 1.0 y) (* y (exp z)))
77.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	499	918
1	2002	785
2	5001	761

prune380.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0))) t))
3.0b	(fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0)))
6.1b	(/ (fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0))) t)
8.1b	(* (pow z 2) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
50×	`add-cube-cbrt`
39×	`prod-diff`
37×	`times-frac`
11×	`add-exp-log`
8×	`associate-l` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `div-inv` `unswap-sqr`
3×	`fma-neg` `associate-r` `prod-exp` `associate-/r` `associate-/l`
2×	`unpow2` `difference-of-squares` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--`

Counts

4 → 127

Calls

4 calls:

8.0ms	(- x (/ (fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0))) t))
0.0ms	(fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0)))
2.0ms	(/ (fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0))) t)
6.0ms	(* (pow z 2) y)

series299.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- x (/ (fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0))) t))
68.0ms	(fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0)))
95.0ms	(/ (fma 0.5 (* (pow z 2) y) (fma 1.0 (* z y) (log 1.0))) t)
17.0ms	(* (pow z 2) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	545	3031
1	1954	1985
2	5001	1748

prune405.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.2b	(/ (* z y) t)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`times-frac` `fma-neg` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `diff-log` `div-exp` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 53

Calls

2 calls:

37.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
7.0ms	(/ (* z y) t)

series102.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify37.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	261	704
1	1021	433
2	5001	422

prune184.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
5.3b	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 100

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
0.0ms	(cbrt t)
24.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

series613.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt t)
176.0ms	(cbrt t)
198.0ms	(cbrt t)
55.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	424	748
1	2233	609
2	5001	570

prune383.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.3b

regimes591.0ms

Accuracy

63.8% (4.8b remaining)

Error of 8.2b against oracle of 3.4b and baseline of 16.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	24
1	33	24

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.0s	1403×	body	1280	valid
746.0ms	1633×	body	640	valid
447.0ms	3535×	body	80	valid
276.0ms	892×	body	320	valid
209.0ms	2420×	body	80	nan
148.0ms	1505×	body	80	overflowed
116.0ms	76×	body	2560	valid
99.0ms	487×	body	160	valid
98.0ms	276×	body	640	nan
52.0ms	111×	body	1280	nan
46.0ms	192×	body	320	nan
19.0ms	119×	body	160	nan