Details

Time bar (total: 4.6s)

sample21.0ms

Algorithm
intervals
Results
10.0ms266×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1398
2648
31158
42078
54658
613378
750018

prune6.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* t z) x)
0.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.5b
(/ (- (* y z) x) (- (* t z) x))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
7×add-exp-log associate-/r* add-cbrt-cube associate-/l*
5×add-log-exp
4×associate-/r/ associate-/l/
3×pow1 expm1-log1p-u flip3-- div-sub prod-diff flip-- log1p-expm1-u
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×associate-+r- sub-neg fma-neg diff-log
Counts
3 → 95
Calls
3 calls:
5.0ms
(- (* t z) x)
58.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms
(/ (- (* y z) x) (- (* t z) x))

series218.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- (* t z) x)
132.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
60.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify71.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0433951
11923872
25001872

prune323.0ms

Filtered
104 candidates to 76 candidates (73.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
2.5b
(/ y (- (* t z) x))
2.7b
(fma (/ y (- (* t z) x)) z x)
3.2b
(/ x (- (* t z) x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×times-frac
15×add-exp-log
13×add-cbrt-cube
9×associate-/l*
7×associate-/r*
6×associate-/r/
5×div-exp
4×pow1 cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num div-inv
2×flip3-- associate-*l/ prod-exp flip--
1×flip3-+ 1-exp cbrt-unprod flip-+ fma-udef
Counts
4 → 98
Calls
4 calls:
5.0ms
(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
6.0ms
(/ y (- (* t z) x))
0.0ms
(fma (/ y (- (* t z) x)) z x)
9.0ms
(/ x (- (* t z) x))

series259.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
33.0ms
(/ y (- (* t z) x))
63.0ms
(fma (/ y (- (* t z) x)) z x)
63.0ms
(/ x (- (* t z) x))

simplify57.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0423735
11590652
25001650

prune407.0ms

Filtered
110 candidates to 88 candidates (80.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ (+ x 1.0) (fma (/ y (- (* t z) x)) z x)))
2.5b
(/ y (- (* t z) x))
2.7b
(fma (/ y (- (* t z) x)) z x)
3.2b
(/ x (- (* t z) x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
93×*-un-lft-identity
69×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
19×add-exp-log
13×add-cbrt-cube
12×distribute-lft-out
9×div-exp associate-/l*
7×div-inv
5×pow1 cbrt-undiv associate-/r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×rec-exp flip3-- 1-exp flip--
1×pow-flip fma-udef inv-pow
Counts
4 → 162
Calls
4 calls:
10.0ms
(/ 1 (/ (+ x 1.0) (fma (/ y (- (* t z) x)) z x)))
6.0ms
(/ y (- (* t z) x))
0.0ms
(fma (/ y (- (* t z) x)) z x)
6.0ms
(/ x (- (* t z) x))

series261.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ 1 (/ (+ x 1.0) (fma (/ y (- (* t z) x)) z x)))
33.0ms
(/ y (- (* t z) x))
63.0ms
(fma (/ y (- (* t z) x)) z x)
68.0ms
(/ x (- (* t z) x))

simplify80.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05771680
124941526
250011439

prune489.0ms

Filtered
174 candidates to 105 candidates (60.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.4b
(/ (- (* t z) x) (cbrt x))
2.0b
(/ (* (cbrt x) (cbrt x)) (/ (- (* t z) x) (cbrt x)))
2.5b
(/ y (- (* t z) x))
2.7b
(fma (/ y (- (* t z) x)) z x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
85×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
31×associate-/r*
30×cbrt-prod
20×add-exp-log
13×add-cbrt-cube
8×cbrt-undiv div-exp
7×associate-/l*
5×div-inv
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num associate-/r/
2×flip3-- prod-exp flip-- cbrt-unprod associate-/l/
1×div-sub fma-udef
Counts
4 → 151
Calls
4 calls:
13.0ms
(/ (- (* t z) x) (cbrt x))
13.0ms
(/ (* (cbrt x) (cbrt x)) (/ (- (* t z) x) (cbrt x)))
6.0ms
(/ y (- (* t z) x))
0.0ms
(fma (/ y (- (* t z) x)) z x)

series399.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(/ (- (* t z) x) (cbrt x))
90.0ms
(/ (* (cbrt x) (cbrt x)) (/ (- (* t z) x) (cbrt x)))
34.0ms
(/ y (- (* t z) x))
57.0ms
(fma (/ y (- (* t z) x)) z x)

simplify85.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06081451
127641347
250011318

prune726.0ms

Filtered
163 candidates to 137 candidates (84.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes210.0ms

Accuracy

35.7% (2.9b remaining)

Error of 3.2b against oracle of 0.3b and baseline of 4.9b

bsearch129.0ms

Steps
ItersRangePoint
10
2.4051897841780437e+82
1.784572377508781e+100
2.684402167383186e+86
9
-1.7517596163566846e-118
-4.700158690856349e-126
-2.793871007732019e-122

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03926
13926

end0.0ms

sample538.0ms

Algorithm
intervals
Results
327.0ms8310×body80valid