Details

Time bar (total: 4.3s)

sample22.0ms

Algorithm
intervals
Results
10.0ms271×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1586
21076
31886
43646
57226
610676
714526
819636
921436
1021456
1121456

prune2.0ms

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: 1.8b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b
(/ (+ (- t z) 1.0) a)
13.0b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
239×*-un-lft-identity
203×times-frac
136×add-sqr-sqrt
87×add-cube-cbrt
44×distribute-lft-out
43×distribute-lft-out--
23×difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×associate-+l- sub-neg flip3-+ diff-log associate-/r/ flip-+ associate--r-
Counts
3 → 192
Calls
3 calls:
31.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.0ms
(/ (+ (- t z) 1.0) a)
17.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series246.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
31.0ms
(/ (+ (- t z) 1.0) a)
127.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify75.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
07071950
126291888
250011887

prune567.0ms

Filtered
201 candidates to 119 candidates (59.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1956201
Fresh000
Picked101
Done000
Total1966202

Merged error: 0b

Counts
202 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b
(/ (- y z) (+ (- t z) 1.0))
0.6b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
54×add-sqr-sqrt
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 114
Calls
3 calls:
3.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
11.0ms
(/ (- y z) (+ (- t z) 1.0))
15.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series252.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
50.0ms
(/ (- y z) (+ (- t z) 1.0))
119.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify47.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0436882
11450824
25001823

prune203.0ms

Filtered
123 candidates to 77 candidates (62.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1212123
Fresh235
Picked011
Done000
Total1236129

Merged error: 0b

Counts
129 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b
(/ (- y z) (+ (- t z) 1.0))
0.8b
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
1079×times-frac
929×*-un-lft-identity
570×add-sqr-sqrt
393×add-cube-cbrt
153×distribute-lft-out--
152×distribute-lft-out
83×difference-of-squares
48×div-inv
36×associate-/l*
31×associate-/r/
27×add-exp-log
18×associate-/r*
17×div-exp add-cbrt-cube
15×flip3-+ flip-+
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 associate-/l/
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip--
1×sub-neg diff-log associate--r-
Counts
3 → 545
Calls
3 calls:
102.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
10.0ms
(/ (- y z) (+ (- t z) 1.0))
28.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series261.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
47.0ms
(/ (- y z) (+ (- t z) 1.0))
127.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify119.0ms

Algorithm
egg-herbie
Counts
554 → 554
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
019257705
150017173

prune721.0ms

Filtered
554 candidates to 226 candidates (40.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New5540554
Fresh044
Picked011
Done011
Total5546560

Merged error: 0b

Counts
560 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (- y z) (* (/ 1 (+ (- t z) 1.0)) a)))
0.0b
(/ 1 (+ (- t z) 1.0))
0.2b
(* (/ 1 (+ (- t z) 1.0)) a)
12.3b
(* (- y z) (* (/ 1 (+ (- t z) 1.0)) a))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
34×add-sqr-sqrt
32×add-exp-log times-frac
26×associate-*l*
25×add-cube-cbrt
20×add-cbrt-cube
14×distribute-lft-out
13×prod-exp
12×pow1
8×distribute-lft-out--
7×cbrt-unprod
6×div-exp associate-*l/ add-log-exp
5×associate-/r*
4×associate-*r* pow-prod-down associate-/r/
3×cbrt-undiv rec-exp flip3-- 1-exp flip-- associate-/l* unswap-sqr
2×frac-times flip3-+ *-commutative flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ clear-num inv-pow difference-of-squares
Counts
4 → 125
Calls
4 calls:
3.0ms
(- x (* (- y z) (* (/ 1 (+ (- t z) 1.0)) a)))
8.0ms
(/ 1 (+ (- t z) 1.0))
16.0ms
(* (/ 1 (+ (- t z) 1.0)) a)
16.0ms
(* (- y z) (* (/ 1 (+ (- t z) 1.0)) a))

series348.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- x (* (- y z) (* (/ 1 (+ (- t z) 1.0)) a)))
40.0ms
(/ 1 (+ (- t z) 1.0))
95.0ms
(* (/ 1 (+ (- t z) 1.0)) a)
124.0ms
(* (- y z) (* (/ 1 (+ (- t z) 1.0)) a))

simplify58.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0506874
12090749
25001711

prune202.0ms

Filtered
137 candidates to 82 candidates (59.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1370137
Fresh033
Picked011
Done022
Total1376143

Merged error: 0b

Counts
143 → 6

regimes131.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample582.0ms

Algorithm
intervals
Results
341.0ms8461×body80valid
0.0ms2×body1280valid
0.0ms2×body640valid

Profiling

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