Details

Time bar (total: 4.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms272×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize9.0ms

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)
11.3b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite134.0ms

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:
60.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
35.0ms
(/ (+ (- t z) 1.0) a)
27.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series236.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
32.0ms
(/ (+ (- t z) 1.0) a)
120.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify69.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
07071950
126291888
250011887

prune437.0ms

Filtered
201 candidates to 119 candidates (59.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

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))
2.0b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite82.0ms

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:
2.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
23.0ms
(/ (- y z) (+ (- t z) 1.0))
52.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series250.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
49.0ms
(/ (- y z) (+ (- t z) 1.0))
118.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify44.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0436882
11450824
25001823

prune242.0ms

Filtered
123 candidates to 77 candidates (62.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
0.0b
(/ (+ (- t z) 1.0) (- y z))
0.4b
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
2.0b
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
447×*-un-lft-identity
392×times-frac
254×add-sqr-sqrt
158×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out distribute-lft-out--
41×difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod
2×frac-2neg clear-num associate-/l/
1×associate-+l- sub-neg pow-flip flip3-+ diff-log div-sub pow-prod-down associate-*l/ *-commutative flip-+ inv-pow
Counts
4 → 338
Calls
4 calls:
2.0ms
(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
36.0ms
(/ (+ (- t z) 1.0) (- y z))
29.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
82.0ms
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

series364.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
57.0ms
(/ (+ (- t z) 1.0) (- y z))
88.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
110.0ms
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

simplify105.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08873108
143442801
250022578

prune568.0ms

Filtered
350 candidates to 165 candidates (47.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (- a) (/ (+ (- t z) 1.0) (- y z))))
0.0b
(/ (+ (- t z) 1.0) (- y z))
2.1b
(/ (- a) (/ (+ (- t z) 1.0) (- y z)))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
661×*-un-lft-identity
610×times-frac
354×add-sqr-sqrt
232×add-cube-cbrt
123×distribute-lft-out
122×distribute-lft-out--
96×distribute-lft-neg-in distribute-rgt-neg-in
61×difference-of-squares
36×associate-/r*
32×neg-mul-1
25×associate-/r/
15×associate-/l*
13×div-inv
12×flip3-- flip--
10×add-exp-log add-cbrt-cube
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 div-sub distribute-frac-neg
2×neg-sub0 frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+l- associate-+r- unsub-neg sum-log
Counts
3 → 435
Calls
3 calls:
120.0ms
(+ x (/ (- a) (/ (+ (- t z) 1.0) (- y z))))
38.0ms
(/ (+ (- t z) 1.0) (- y z))
32.0ms
(/ (- a) (/ (+ (- t z) 1.0) (- y z)))

series312.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(+ x (/ (- a) (/ (+ (- t z) 1.0) (- y z))))
54.0ms
(/ (+ (- t z) 1.0) (- y z))
129.0ms
(/ (- a) (/ (+ (- t z) 1.0) (- y z)))

simplify74.0ms

Algorithm
egg-herbie
Counts
444 → 444
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
012275310
150015206

prune735.0ms

Filtered
444 candidates to 219 candidates (49.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes149.0ms

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
0177
1177

end0.0ms

sample568.0ms

Algorithm
intervals
Results
296.0ms8494×body80valid
0.0ms1×body1280valid