Details

Time bar (total: 4.7s)

sample20.0ms

Algorithm
intervals
Results
8.0ms281×body80valid

simplify70.0ms

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: 12.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.5b
(/ (* x (- y z)) (- t z))

rewrite54.0ms

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:
22.0ms
(* x (- y z))
29.0ms
(/ (* x (- y z)) (- t z))

series95.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* x (- y z))
62.0ms
(/ (* x (- y z)) (- t z))

simplify50.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0346543
11624380
25001380

prune207.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.0b
(/ x (/ (- t z) (- y z)))

rewrite61.0ms

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:
26.0ms
(/ (- t z) (- y z))
24.0ms
(/ x (/ (- t z) (- y z)))

series181.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (- t z) (- y z))
138.0ms
(/ x (/ (- t z) (- y z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06421801
128871748
250011745

prune761.0ms

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
(/ (- y z) (- t z))
2.0b
(* x (/ (- y z) (- t z)))

rewrite73.0ms

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:
23.0ms
(/ (- y z) (- t z))
45.0ms
(* x (/ (- y z) (- t z)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- y z) (- t z))
79.0ms
(* x (/ (- y z) (- t z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0356664
11414623
25001623

prune380.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
0.6b
(* (cbrt (- y z)) (cbrt (- y z)))
0.6b
(* (cbrt (- t z)) (cbrt (- t z)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
66×cbrt-prod
58×add-sqr-sqrt
54×*-un-lft-identity
28×cbrt-div
22×add-cube-cbrt
20×swap-sqr
18×pow1
16×associate-*r* associate-*l*
14×flip3-- pow1/3 flip-- distribute-lft-out--
10×difference-of-squares
8×add-exp-log frac-times unswap-sqr
4×expm1-log1p-u associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 150
Calls
4 calls:
4.0ms
(cbrt (- t z))
4.0ms
(cbrt (- t z))
39.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
40.0ms
(* (cbrt (- t z)) (cbrt (- t z)))

series533.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (- t z))
145.0ms
(cbrt (- t z))
123.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
123.0ms
(* (cbrt (- t z)) (cbrt (- t z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04121128
114631074
25001988

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11618

end0.0ms

sample498.0ms

Algorithm
intervals
Results
259.0ms8741×body80valid