Details

Time bar (total: 2.8s)

sample18.0ms

Algorithm
intervals
Results
7.0ms270×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2564
3864
41184
51454
61564
71664
81674
91714
101754
112864
123244
133504
144484
155174
165994
177054
187994
198084
208084

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.9b
(/ (* x (- y z)) (- t z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
8.0ms
(* x (- y z))
10.0ms
(/ (* x (- y z)) (- t z))

series109.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (- y z))
71.0ms
(/ (* x (- y z)) (- t z))

simplify52.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0346543
11624380
25001380

prune150.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.3b
(/ x (/ (- t z) (- y z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
9.0ms
(/ (- t z) (- y z))
12.0ms
(/ x (/ (- t z) (- y z)))

series209.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- t z) (- y z))
158.0ms
(/ x (/ (- t z) (- y z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06421801
128871748
250011745

prune445.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.5b
(* x (/ (- y z) (- t z)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
12.0ms
(/ (- y z) (- t z))
14.0ms
(* x (/ (- y z) (- t z)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- y z) (- t z))
68.0ms
(* x (/ (- y z) (- t z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0356664
11414623
25001623

prune232.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
11.0b
(* (/ x (- t z)) (- y z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 109
Calls
2 calls:
6.0ms
(/ x (- t z))
13.0ms
(* (/ x (- t z)) (- y z))

series184.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ x (- t z))
154.0ms
(* (/ x (- t z)) (- y z))

simplify62.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0472839
11987675
25001669

prune219.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes147.0ms

Accuracy

3.1% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.2b

bsearch71.0ms

Steps
ItersRangePoint
8
-5.189507509898987e-286
-2.0713597697102455e-289
-8.204370055488505e-288
7
-2.3923698237917254e-58
-1.4252433121224167e-60
-3.2992714266718147e-59

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample461.0ms

Algorithm
intervals
Results
237.0ms8692×body80valid