Details

Time bar (total: 4.8s)

sample32.0ms

Algorithm
intervals
Results
16.0ms266×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2518
3618
4658
5658

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.1b

Counts
2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

5.0b
(/ (* y z) t)
5.1b
(/ (* y b) t)
10.7b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
26×times-frac
21×distribute-lft-out
18×add-sqr-sqrt add-cube-cbrt
15×add-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l*
5×cbrt-undiv div-exp
4×associate-/r/
3×pow1 expm1-log1p-u frac-2neg flip3-+ clear-num flip-+ log1p-expm1-u div-inv add-log-exp
2×frac-add prod-exp cbrt-unprod associate-/l/
Counts
3 → 95
Calls
3 calls:
4.0ms
(/ (* y z) t)
5.0ms
(/ (* y b) t)
14.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series162.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (* y z) t)
22.0ms
(/ (* y b) t)
115.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify65.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0447799
11949738
25002723

prune339.0ms

Filtered
104 candidates to 70 candidates (67.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New9212104
Fresh000
Picked101
Done000
Total9312105

Merged error: 9.8b

Counts
105 → 12

localize13.0ms

Local error

Found 3 expressions with local error:

2.2b
(fma (/ y t) z x)
5.1b
(/ (* y b) t)
10.7b
(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
18×times-frac
15×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
10×add-exp-log add-cbrt-cube
8×associate-/r*
4×associate-/r/ associate-/l*
3×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ frac-add clear-num flip-+ div-inv
1×prod-exp cbrt-unprod fma-udef
Counts
3 → 74
Calls
3 calls:
1.0ms
(fma (/ y t) z x)
8.0ms
(/ (* y b) t)
9.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

series541.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(fma (/ y t) z x)
21.0ms
(/ (* y b) t)
474.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0319601
11203554
25001549

prune277.0ms

Filtered
83 candidates to 57 candidates (68.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New78583
Fresh5611
Picked101
Done000
Total841195

Merged error: 8.9b

Counts
95 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
2.2b
(fma (/ y t) z x)
5.1b
(/ (* y b) t)
10.2b
(* (fma (/ y t) z x) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
35×times-frac
33×add-sqr-sqrt
26×add-cube-cbrt
23×associate-*r*
22×add-exp-log
21×distribute-lft-out
16×add-cbrt-cube
8×associate-/r* associate-/r/
7×pow1
6×div-exp
5×prod-exp
4×cbrt-undiv expm1-log1p-u flip3-+ frac-add flip-+ log1p-expm1-u associate-/l* add-log-exp
3×associate-*l* cbrt-unprod div-inv unswap-sqr
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef inv-pow
Counts
4 → 126
Calls
4 calls:
9.0ms
(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
1.0ms
(fma (/ y t) z x)
5.0ms
(/ (* y b) t)
15.0ms
(* (fma (/ y t) z x) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series582.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
45.0ms
(fma (/ y t) z x)
21.0ms
(/ (* y b) t)
451.0ms
(* (fma (/ y t) z x) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify67.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0434968
11896852
25001803

prune392.0ms

Filtered
138 candidates to 83 candidates (60.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1371138
Fresh1910
Picked011
Done000
Total13811149

Merged error: 8.9b

Counts
149 → 11

localize17.0ms

Local error

Found 3 expressions with local error:

1.4b
(fma (/ y t) b (+ a 1.0))
2.2b
(fma (/ y t) z x)
10.7b
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
1.0ms
(fma (/ y t) b (+ a 1.0))
1.0ms
(fma (/ y t) z x)
3.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series559.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(fma (/ y t) b (+ a 1.0))
49.0ms
(fma (/ y t) z x)
472.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0126417
1322376
21234376
35002376

prune221.0ms

Filtered
58 candidates to 46 candidates (79.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New55358
Fresh369
Picked011
Done011
Total581169

Merged error: 8.9b

Counts
69 → 11

regimes410.0ms

Accuracy

20.1% (3.1b remaining)

Error of 13.8b against oracle of 10.7b and baseline of 14.6b

bsearch142.0ms

Steps
ItersRangePoint
9
8.166351068165826e-198
1.0213877475461534e-190
4.6149565658371825e-191
8
-2.1193500449207101e-78
-4.4163948802269146e-82
-1.989812471340423e-78

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03816
13816

end0.0ms

sample697.0ms

Algorithm
intervals
Results
394.0ms8293×body80valid