Details

Time bar (total: 3.1s)

sample22.0ms

Algorithm
intervals
Results
10.0ms268×body80valid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (25.0ms)

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

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.7b

Counts
2 → 2

localize14.0ms

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)

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)

series203.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ a (+ (- t z) 1.0))
163.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify89.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0209330
1714301
23086297
35001297

prune164.0ms

Filtered
55 candidates to 40 candidates (72.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New49655
Fresh011
Picked101
Done000
Total50757

Merged error: 1.5b

Counts
57 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
9.8b
(* (/ a (+ (- t z) 1.0)) (- z y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
41×add-sqr-sqrt
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
14×distribute-lft-out
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×distribute-lft-out--
5×associate-*r* associate-/r*
4×pow1 associate-/r/
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative difference-of-squares
Counts
2 → 109
Calls
2 calls:
9.0ms
(/ a (+ (- t z) 1.0))
18.0ms
(* (/ a (+ (- t z) 1.0)) (- z y))

series164.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ a (+ (- t z) 1.0))
128.0ms
(* (/ a (+ (- t z) 1.0)) (- z y))

simplify71.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0547998
12401820
25001820

prune265.0ms

Filtered
115 candidates to 69 candidates (60.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1123115
Fresh516
Picked011
Done000
Total1175122

Merged error: 0b

Counts
122 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (+ (- t z) 1.0))
0.4b
(* a (/ (- z y) (+ (- t z) 1.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*r*
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-*l*
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 associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 106
Calls
2 calls:
13.0ms
(/ (- z y) (+ (- t z) 1.0))
20.0ms
(* a (/ (- z y) (+ (- t z) 1.0)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- z y) (+ (- t z) 1.0))
82.0ms
(* a (/ (- z y) (+ (- t z) 1.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0374748
11601692
25001689

prune278.0ms

Filtered
112 candidates to 68 candidates (60.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1111112
Fresh213
Picked011
Done011
Total1134117

Merged error: 0b

Counts
117 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
10.6b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite40.0ms

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:
10.0ms
(/ (+ (- t z) 1.0) a)
19.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series168.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (+ (- t z) 1.0) a)
129.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify79.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06391777
124681714
250011713

prune407.0ms

Filtered
185 candidates to 107 candidates (57.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1850185
Fresh011
Picked011
Done022
Total1854189

Merged error: 0b

Counts
189 → 4

regimes162.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample575.0ms

Algorithm
intervals
Results
311.0ms8500×body80valid
0.0ms1×body320valid