Details

Time bar (total: 5.8s)

sample23.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0215
1374
2604
31044
41744
52374
62664
73124
83754
95074
106664
1111174
1213414
1315134
1415354
1515354

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- z t) (- z a))
1.6b
(* y (/ (- z t) (- z a)))

rewrite76.0ms

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:
24.0ms
(/ (- z t) (- z a))
47.0ms
(* y (/ (- z t) (- z a)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- z t) (- z a))
73.0ms
(* y (/ (- z t) (- z a)))

simplify46.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0358664
11410623
25002623

prune268.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.4b
(/ 1 (/ (- z a) (- z t)))
1.6b
(* y (/ 1 (/ (- z a) (- z t))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 333
Calls
3 calls:
27.0ms
(/ (- z a) (- z t))
26.0ms
(/ 1 (/ (- z a) (- z t)))
77.0ms
(* y (/ 1 (/ (- z a) (- z t))))

series270.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- z a) (- z t))
97.0ms
(/ 1 (/ (- z a) (- z t)))
123.0ms
(* y (/ 1 (/ (- z a) (- z t))))

simplify106.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08932747
145402460
250012173

prune702.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(* (cbrt (- z a)) (cbrt (- z a)))
0.6b
(* (cbrt (- z t)) (cbrt (- z t)))

rewrite95.0ms

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 (- z t))
4.0ms
(cbrt (- z t))
41.0ms
(* (cbrt (- z a)) (cbrt (- z a)))
39.0ms
(* (cbrt (- z t)) (cbrt (- z t)))

series614.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (- z t))
185.0ms
(cbrt (- z t))
135.0ms
(* (cbrt (- z a)) (cbrt (- z a)))
139.0ms
(* (cbrt (- z t)) (cbrt (- z t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04221128
115001074
25002988

prune566.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(* (cbrt (- z a)) (cbrt (- z a)))
0.6b
(* (cbrt (- z t)) (cbrt (- z t)))
1.6b
(* y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (* 1 (cbrt (- z t))) (cbrt (- z a)))))

rewrite440.0ms

Algorithm
rewrite-expression-head
Rules
122×add-exp-log
69×prod-exp
61×cbrt-prod
56×add-sqr-sqrt
52×*-un-lft-identity
51×add-cbrt-cube
50×cbrt-unprod
31×div-exp
26×cbrt-div
23×pow1
22×cbrt-undiv add-cube-cbrt
20×swap-sqr
19×associate-*l*
17×associate-*r*
13×flip3-- pow1/3 flip-- distribute-lft-out--
9×frac-times difference-of-squares
8×associate-*r/ unswap-sqr
7×pow-prod-down
5×1-exp associate-*l/
4×expm1-log1p-u pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×*-commutative
2×pow2 pow-plus
Counts
4 → 189
Calls
4 calls:
4.0ms
(cbrt (- z t))
39.0ms
(* (cbrt (- z a)) (cbrt (- z a)))
39.0ms
(* (cbrt (- z t)) (cbrt (- z t)))
347.0ms
(* y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (* 1 (cbrt (- z t))) (cbrt (- z a)))))

series499.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (- z t))
133.0ms
(* (cbrt (- z a)) (cbrt (- z a)))
137.0ms
(* (cbrt (- z t)) (cbrt (- z t)))
71.0ms
(* y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (* 1 (cbrt (- z t))) (cbrt (- z a)))))

simplify144.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (124.0ms)

IterNodesCost
09492427
146021914
250021870

prune624.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes215.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02220
12220

end0.0ms

sample612.0ms

Algorithm
intervals
Results
255.0ms8672×body80valid
0.0ms1×body640valid