Details

Time bar (total: 4.1s)

sample21.0ms

Algorithm
intervals
Results
9.0ms271×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (26.0ms)

IterNodesCost
0256
1586
21106
31986
44116
58636
612295
716985
823045
925085
1025105
1125105

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
1.7b
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
15×times-frac
12×add-sqr-sqrt add-cube-cbrt
8×distribute-lft-out
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out--
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
17.0ms
(/ a (+ (- t z) 1.0))
0.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series205.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ a (+ (- t z) 1.0))
167.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify94.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0209330
1714301
23086297
35001297

prune169.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (- t z) 1.0))
0.2b
(* a (/ 1 (+ (- t z) 1.0)))
1.7b
(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
32×times-frac
30×add-sqr-sqrt
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
14×distribute-lft-out
10×add-cbrt-cube
7×distribute-lft-out--
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 99
Calls
3 calls:
17.0ms
(/ 1 (+ (- t z) 1.0))
44.0ms
(* a (/ 1 (+ (- t z) 1.0)))
0.0ms
(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

series249.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ 1 (+ (- t z) 1.0))
39.0ms
(* a (/ 1 (+ (- t z) 1.0)))
166.0ms
(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

simplify55.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0329603
11424518
25001473

prune263.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
10.3b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 expm1-log1p-u frac-2neg div-sub clear-num log1p-expm1-u add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 179
Calls
2 calls:
32.0ms
(/ (+ (- t z) 1.0) a)
30.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series176.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (+ (- t z) 1.0) a)
140.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify80.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06391777
124681714
250011713

prune436.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
2.4b
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
1066×times-frac
924×*-un-lft-identity
544×add-sqr-sqrt
392×add-cube-cbrt
152×distribute-lft-out distribute-lft-out--
76×difference-of-squares
48×div-inv
36×associate-/l*
31×associate-/r/
26×add-exp-log
18×associate-/r*
17×div-exp
16×add-cbrt-cube
15×flip3-+ flip-+
9×cbrt-undiv
3×div-sub associate-/l/
2×pow1 expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×flip3-- flip--
Counts
2 → 528
Calls
2 calls:
24.0ms
(/ (- y z) (+ (- t z) 1.0))
49.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series192.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- y z) (+ (- t z) 1.0))
135.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify115.0ms

Algorithm
egg-herbie
Counts
534 → 534
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
018407413
150016893

prune944.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

sample540.0ms

Algorithm
intervals
Results
290.0ms8485×body80valid
0.0ms1×body640valid
0.0ms1×body160valid