Details

Time bar (total: 4.5s)

sample22.0ms

Algorithm
intervals
Results
9.0ms268×body80valid

simplify89.0ms

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: 3.2b

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

rewrite126.0ms

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:
56.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
34.0ms
(/ (+ (- t z) 1.0) a)
26.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series233.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
32.0ms
(/ (+ (- t z) 1.0) a)
118.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify71.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
07071950
126291888
250011887

prune393.0ms

Filtered
201 candidates to 119 candidates (59.2%)
Pruning

5 alts after pruning (5 fresh and 0 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))
1.5b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite78.0ms

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))
22.0ms
(/ (- y z) (+ (- t z) 1.0))
50.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series253.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
48.0ms
(/ (- y z) (+ (- t z) 1.0))
122.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify50.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0436882
11450824
25001823

prune253.0ms

Filtered
123 candidates to 77 candidates (62.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))
0.1b
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
1.5b
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

rewrite158.0ms

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))
26.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
74.0ms
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

series368.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
55.0ms
(/ (+ (- t z) 1.0) (- y z))
84.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
125.0ms
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

simplify110.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
08873108
143442801
250022578

prune582.0ms

Filtered
350 candidates to 165 candidates (47.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ a (/ (+ (- t z) 1.0) (- y z)))))
0.0b
(/ (+ (- t z) 1.0) (- y z))
1.5b
(/ a (/ (+ (- t z) 1.0) (- y z)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
273×*-un-lft-identity
218×times-frac
143×add-sqr-sqrt
91×add-cube-cbrt
52×distribute-lft-out distribute-lft-out--
36×associate-/r*
26×difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×associate-+l- sub-neg flip3-+ diff-log div-sub flip-+
Counts
3 → 206
Calls
3 calls:
2.0ms
(- x (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ a (/ (+ (- t z) 1.0) (- y z)))))
33.0ms
(/ (+ (- t z) 1.0) (- y z))
28.0ms
(/ a (/ (+ (- t z) 1.0) (- y z)))

series301.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(- x (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ a (/ (+ (- t z) 1.0) (- y z)))))
54.0ms
(/ (+ (- t z) 1.0) (- y z))
118.0ms
(/ a (/ (+ (- t z) 1.0) (- y z)))

simplify86.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06642177
131422094
250012086

prune493.0ms

Filtered
215 candidates to 125 candidates (58.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes108.0ms

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
02111
12111

end0.0ms

sample571.0ms

Algorithm
intervals
Results
298.0ms8484×body80valid