Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

339×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	48	3
3	96	3
4	153	3
5	203	3
6	247	3
7	401	3
8	680	3
9	1133	3
10	1866	3
11	3291	3
12	4745	3
13	5001	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

1.8b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	40	69
1	93	62
2	270	53
3	1300	53
4	5001	53

prune35.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y t) (- z x)) x)
7.1b	(* (/ y t) (- z x))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

21.0ms	(+ (* (/ y t) (- z x)) x)
31.0ms	(* (/ y t) (- z x))

series91.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (/ y t) (- z x)) x)
55.0ms	(* (/ y t) (- z x))

simplify53.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	468	779
1	1870	547
2	5001	533

prune235.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.5b	(fma (fma (- x) 1 x) (/ y t) x)
7.1b	(* (fma 1 z (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (/ y t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`pow1/3` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
0.0ms	(fma (fma (- x) 1 x) (/ y t) x)
17.0ms	(* (fma 1 z (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (/ y t))

series471.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt x)
178.0ms	(cbrt x)
42.0ms	(fma (fma (- x) 1 x) (/ y t) x)
79.0ms	(* (fma 1 z (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (/ y t))

simplify43.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	246	586
1	931	502
2	5001	407

prune316.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (fma (- x) 1 x) (/ y t) x)
11.7b	(cbrt (/ y t))
11.7b	(cbrt (/ y t))
11.7b	(cbrt (/ y t))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`fma-udef`

Counts

4 → 82

Calls

4 calls:

0.0ms	(fma (fma (- x) 1 x) (/ y t) x)
2.0ms	(cbrt (/ y t))
2.0ms	(cbrt (/ y t))
2.0ms	(cbrt (/ y t))

series238.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(fma (fma (- x) 1 x) (/ y t) x)
62.0ms	(cbrt (/ y t))
65.0ms	(cbrt (/ y t))
64.0ms	(cbrt (/ y t))

simplify104.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	134	511
1	279	481
2	807	475
3	3095	448
4	5001	448

prune358.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes159.0ms

Accuracy

24% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch74.0ms

Steps

Iters	Range		Point
10	3.3499961860968546e-228	1.6411377633301706e-217	4.29876864638098e-219
6	-5.960054100832287e+24	-1.443373169043936e+24	-2.1172576990343175e+24

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	8
1	24	8

end0.0ms

sample653.0ms

Algorithm

intervals

Results

270.0ms

10642×

body

valid