Details

Time bar (total: 4.9s)

sample26.0ms

Algorithm
intervals
Results
11.0ms263×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2518
3618
4658
5658

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
4.7b
(/ (* y z) t)
5.3b
(/ (* y b) t)
11.2b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
26×times-frac
25×distribute-lft-out
20×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
11×associate-/r*
9×add-log-exp
6×associate-/l*
5×cbrt-undiv flip3-+ div-exp flip-+
4×pow1 expm1-log1p-u fma-def frac-add associate-/r/ log1p-expm1-u
3×frac-2neg clear-num sum-log div-inv
2×prod-exp cbrt-unprod associate-/l/
1×+-commutative associate-+l+
Counts
4 → 118
Calls
4 calls:
19.0ms
(+ (+ a 1.0) (/ (* y b) t))
3.0ms
(/ (* y z) t)
3.0ms
(/ (* y b) t)
37.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ (+ a 1.0) (/ (* y b) t))
18.0ms
(/ (* y z) t)
24.0ms
(/ (* y b) t)
109.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0488947
12162873
25003850

prune386.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (fma (/ y t) b (+ a 1.0)))
1.2b
(fma (/ y t) b (+ a 1.0))
4.7b
(/ (* y z) t)
11.0b
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
23×times-frac
22×add-exp-log add-cube-cbrt
16×add-cbrt-cube
13×associate-*r*
7×pow1
6×div-exp associate-/r*
5×prod-exp
4×cbrt-undiv expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp
3×cbrt-unprod div-inv unswap-sqr
2×frac-times rec-exp frac-2neg flip3-+ 1-exp associate-*l/ clear-num flip-+
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef distribute-lft-out inv-pow
Counts
4 → 109
Calls
4 calls:
2.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) b (+ a 1.0))
3.0ms
(/ (* y z) t)
23.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

series256.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
35.0ms
(fma (/ y t) b (+ a 1.0))
18.0ms
(/ (* y z) t)
87.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0391851
11864745
25002696

prune362.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 9.8b

localize12.0ms

Local error

Found 3 expressions with local error:

1.2b
(fma (/ y t) b (+ a 1.0))
1.3b
(fma (/ y t) z x)
11.2b
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite4.0ms

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:
0.0ms
(fma (/ y t) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
2.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series504.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(fma (/ y t) b (+ a 1.0))
38.0ms
(fma (/ y t) z x)
427.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0126417
1322376
21234376
35002376

prune230.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
4.7b
(/ (* y z) t)
5.3b
(/ (* y b) t)
11.1b
(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
243×*-un-lft-identity
184×times-frac
89×distribute-lft-out
86×add-sqr-sqrt add-cube-cbrt
36×associate-/r*
27×add-exp-log
21×add-cbrt-cube
12×div-exp
11×associate-/r/
10×associate-/l*
8×cbrt-undiv div-inv
7×flip3-+ flip-+
5×pow1
4×expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
2×rec-exp 1-exp frac-add prod-exp cbrt-unprod
1×pow-flip inv-pow
Counts
4 → 225
Calls
4 calls:
36.0ms
(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
3.0ms
(/ (* y z) t)
3.0ms
(/ (* y b) t)
55.0ms
(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
387.0ms
(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
24.0ms
(/ (* y z) t)
21.0ms
(/ (* y b) t)
81.0ms
(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

simplify108.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06772796
133392566
250022411

prune487.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.5b

regimes439.0ms

Accuracy

11.7% (4.9b remaining)

Error of 16.1b against oracle of 11.2b and baseline of 16.7b

bsearch66.0ms

Steps
ItersRangePoint
8
2447832857906690.5
3.9277734688565765e+18
2.044828903633144e+16

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03516
13516

end0.0ms

sample894.0ms

Algorithm
intervals
Results
599.0ms8313×body80valid