Details

Time bar (total: 3.6s)

sample22.0ms

Algorithm
intervals
Results
9.0ms269×body80valid
0.0ms1×body320valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (30.0ms)

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: 2.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:
9.0ms
(/ a (+ (- t z) 1.0))
1.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series234.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ a (+ (- t z) 1.0))
189.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify102.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0209330
1714301
23086297
35001297

prune179.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
10.5b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite39.0ms

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:
9.0ms
(/ (+ (- t z) 1.0) a)
19.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series200.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (+ (- t z) 1.0) a)
156.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify84.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06391777
124681714
250011713

prune449.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
0.8b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×associate-*r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 106
Calls
2 calls:
12.0ms
(/ (- y z) (+ (- t z) 1.0))
17.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series219.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (- y z) (+ (- t z) 1.0))
153.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify56.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0388776
11314719
25002715

prune285.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))
1.4b
(- (/ t a) (/ z a))
10.5b
(/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
268×times-frac
224×add-sqr-sqrt
220×*-un-lft-identity
204×add-cube-cbrt
169×prod-diff
30×div-inv
13×fma-neg
8×distribute-lft-out-- difference-of-squares
5×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u
2×flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg distribute-rgt-out-- frac-2neg diff-log div-sub div-exp clear-num frac-sub fma-udef sub-div
Counts
3 → 257
Calls
3 calls:
1.0ms
(fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))
18.0ms
(- (/ t a) (/ z a))
10.0ms
(/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a))))

series174.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))
27.0ms
(- (/ t a) (/ z a))
101.0ms
(/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a))))

simplify109.0ms

Algorithm
egg-herbie
Counts
266 → 266
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
08785113
124433747
250023336

prune518.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample551.0ms

Algorithm
intervals
Results
299.0ms8477×body80valid
0.0ms4×body320valid
0.0ms1×body640valid